Dr Jon Links's research interests are in: Lie Algebras, Quantised Algebras, Knot Theory, Exactly Solvable Models, Algebraic Bethe Ansatz, Models of Correlated Electrons and Models of Bose-Einstein Condensates.
He received his PhD from the University of Queensland in 1993. His current research projects are in the field of designs for and control of integrable quantum devices.
My current research aims to use the mathematical theory of quantum integrability to aid in the design of new quantum devices. Read about it some more at this blog on the Nature Research Device and Materials Engineering Community.
Journal Article: The Yang-Baxter paradox
Links, Jon (2021). The Yang-Baxter paradox. Journal of Physics A: Mathematical and Theoretical, 54 (25) 254001, 254001. doi: 10.1088/1751-8121/abfe48
Journal Article: Separable and entangled states in the high-spin XX central spin model
Wu, Ning, Guan, Xi-Wen and Links, Jon (2020). Separable and entangled states in the high-spin XX central spin model. Physical Review B, 101 (15) 155145. doi: 10.1103/PhysRevB.101.155145
Journal Article: Entangled states of dipolar bosons generated in a triple-well potential
Tonel, Arlei P., Ymai, Leandro H., Wittmann, Karin, Foerster, Angela and Links, Jon (2020). Entangled states of dipolar bosons generated in a triple-well potential. SciPost Physics Core, 2 (1) 003. doi: 10.21468/scipostphyscore.2.1.003
Quantum control designed from broken integrability
(2020–2023) ARC Discovery Projects
Unified theory of Richardson-Gaudin integrability
(2015–2019) ARC Discovery Projects
Topological properties of exactly-solvable, two-dimensional quantum systems
(2011–2013) ARC Discovery Projects
Quantum control designed from broken integrability.
Doctor Philosophy
Bethe Ansatz analysis of the open and closed p + ip-pairing BCS models
(2019) Doctor Philosophy
Richardson-Gaudin models from the Boundary Quantum Inverse Scattering Method
(2016) Doctor Philosophy
Quantum control designed from broken integrability
This project aims to open avenues in the mathematical design quantum devices based on cold atom systems. This will be achieved through the use of methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The classic techniques of quantum integrability, centred around the Quantum Inverse Scattering Method and the Bethe Ansatz, will form the foundations for the theory. Potential applications will be developed for the field of atomtronics – analogues of electronic systems that are based on the transport of cold atoms.
The successful applicant will be a member of an international collaboration that includes two institutes in Brazil. The applicant will enrol through the School of Mathematics and Physics.
Exact solvability in contemporary physics
Foerster, A., Links, J. R. and Zhou, H. (2003). Exact solvability in contemporary physics. Classical and Quantum Nonlinear Integrable Systems. (pp. 208-233) edited by A. Kundu. Bristol: Taylor & Francis Group.
Integrable models of correlated electrons
Bracken, Anthony R., Gould, Mark D., Links, Jon R. and Zhang, Yao-Zhong (1999). Integrable models of correlated electrons. Statistical Physics on the Eve of the 21st Century. (pp. 303-315) edited by Murry Batchelor and Luc Wille. River Ridge, New Jersey United States: World Scientific Publishing. doi: 10.1142/3964
Links, Jon (2021). The Yang-Baxter paradox. Journal of Physics A: Mathematical and Theoretical, 54 (25) 254001, 254001. doi: 10.1088/1751-8121/abfe48
Separable and entangled states in the high-spin XX central spin model
Wu, Ning, Guan, Xi-Wen and Links, Jon (2020). Separable and entangled states in the high-spin XX central spin model. Physical Review B, 101 (15) 155145. doi: 10.1103/PhysRevB.101.155145
Entangled states of dipolar bosons generated in a triple-well potential
Tonel, Arlei P., Ymai, Leandro H., Wittmann, Karin, Foerster, Angela and Links, Jon (2020). Entangled states of dipolar bosons generated in a triple-well potential. SciPost Physics Core, 2 (1) 003. doi: 10.21468/scipostphyscore.2.1.003
Ground-state energy of a Richardson-Gaudin integrable BCS model
Shen, Yibing, Isaac, Phillip and Links, Jon (2020). Ground-state energy of a Richardson-Gaudin integrable BCS model. SciPost Physics Core, 2 (1) 001. doi: 10.21468/scipostphyscore.2.1.001
Control of tunneling in an atomtronic switching device
Wilsmann, Karin Wittmann, Ymai, Leandro H., Tonel, Arlei Prestes, Links, Jon and Foerster, Angela (2018). Control of tunneling in an atomtronic switching device. Communications Physics, 1 (1) 91, 91. doi: 10.1038/s42005-018-0089-1
Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz
Shen, Yibing, Isaac, Phillip S. and Links, Jon (2018). Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz. Nuclear Physics B, 937, 28-55. doi: 10.1016/j.nuclphysb.2018.08.015
Extended Calogero models: a construction for exactly solvable kN-body systems
Chen, Zhe, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2018). Extended Calogero models: a construction for exactly solvable kN-body systems. Journal of Physics A: Mathematical and Theoretical, 51 (45) 455203, 455203. doi: 10.1088/1751-8121/aae4cc
Energy-level crossings and number-parity effects in a bosonic tunneling model
Agboola, Davids, Isaac, Phillip Simon and Links, Jon (2018). Energy-level crossings and number-parity effects in a bosonic tunneling model. Journal of Physics B: Atomic, Molecular and Optical Physics, 51 (14) 145301, 145301. doi: 10.1088/1361-6455/aac6f2
Exact ground-state correlation functions of an atomic-molecular Bose-Einstein condensate model
Links, Jon and Shen, Yibing (2018). Exact ground-state correlation functions of an atomic-molecular Bose-Einstein condensate model. Journal of Physics B: Atomic, Molecular and Optical Physics, 51 (9) 095302, 095302. doi: 10.1088/1361-6455/aab9e5
Completeness of the Bethe states for the rational, spin-1/2 Richardson-Gaudin system
Links, Jon (2017). Completeness of the Bethe states for the rational, spin-1/2 Richardson-Gaudin system. Scipost Physics, 3 (1) 007. doi: 10.21468/SciPostPhys.3.1.007
Quantum integrable multi-well tunneling models
Ymai, L. H., Tonel, A. P., Foerster, A. and Links, J. (2017). Quantum integrable multi-well tunneling models. Journal of Physics A , 50 (26) 264001, 264001. doi: 10.1088/1751-8121/aa7227
Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis
Rubeni, D., Links, J., Isaac, P. S. and Foerster, A. (2017). Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis. Physical Review A, 95 (4) 043607. doi: 10.1103/PhysRevA.95.043607
Links, Jon (2017). Solution of the classical Yang–Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model. Nuclear Physics B, 916, 117-131. doi: 10.1016/j.nuclphysb.2017.01.005
An integrable case of the p + ip pairing Hamiltonian interacting with its environment
Lukyanenko, Inna, Isaac, Phillip S. and Links, Jon (2016). An integrable case of the p + ip pairing Hamiltonian interacting with its environment. Journal of Physics A-Mathematical and Theoretical, 49 (8) 084001. doi: 10.1088/1751-8113/49/8/084001
Integrable model of bosons in a four-well ring with anisotropic tunneling
Tonel, A.P., Ymai, L.H., Foerster, A. and Links, J. (2015). Integrable model of bosons in a four-well ring with anisotropic tunneling. Journal of Physics A: Mathematical and Theoretical, 48 (49) 494001, 494001. doi: 10.1088/1751-8113/48/49/494001
Exact solution of the p+IP Hamiltonian revisited: Duality relations in the hole-pair picture
Links, Jon, Marquette, Ian and Moghaddam, Amir (2015). Exact solution of the p+IP Hamiltonian revisited: Duality relations in the hole-pair picture. Journal of Physics A: Mathematical and Theoretical, 48 (37) 374001, 1-22. doi: 10.1088/1751-8113/48/37/374001
Ground-state Bethe root densities and quantum phase transitions
Links, Jon and Marquette, Ian (2015). Ground-state Bethe root densities and quantum phase transitions. Journal of Physics A: Mathematical and Theoretical, 48 (4) 045204, 1-15. doi: 10.1088/1751-8113/48/4/045204
New quasi-exactly solvable class of generalized isotonic oscillators
Agboola, Davids, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2014). New quasi-exactly solvable class of generalized isotonic oscillators. Journal of Physics A: Mathematical and Theoretical, 47 (39) 395305, 395305.1-395305.17. doi: 10.1088/1751-8113/47/39/395305
On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system
Lukyanenko, Inna, Isaac, Phillip S. and Links, Jon (2014). On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system. Nuclear Physics B, 886, 364-398. doi: 10.1016/j.nuclphysb.2014.06.018
Ground-state analysis for an exactly solvable coupled-spin Hamiltonian
Mattei, Eduardo and Links, Jon (2013). Ground-state analysis for an exactly solvable coupled-spin Hamiltonian. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 9 076. doi: 10.3842/SIGMA.2013.076
Links, Jon, Moghaddam, Amir and Zhang, Yao-Zhong (2013). BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics. Journal of Physics A: Mathematical and Theoretical, 46 (30) 305205, 305205.1-305205.18. doi: 10.1088/1751-8113/46/30/305205
Integrability of an extended d+id-wave pairing Hamiltonian
Marquette, Ian and Links, Jon (2013). Integrability of an extended d+id-wave pairing Hamiltonian. Nuclear Physics B, 866 (3), 378-390. doi: 10.1016/j.nuclphysb.2012.09.006
Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model
Links, Jon, Moghaddam, Amir and Zhang, Yao-Zhong (2012). Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model. Journal of Physics A: Mathematical and Theoretical, 45 (46) 462002, 462002.1-462002.6. doi: 10.1088/1751-8113/45/46/462002
Hopf algebra symmetries of an integrable Hamiltonian for anyonic pairing
Links, Jon (2012). Hopf algebra symmetries of an integrable Hamiltonian for anyonic pairing. Axioms, 1 (2), 226-237. doi: 10.3390/axioms1020226
Marquette, Ian and Links, Jon (2012). Generalized Heine-Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models. Journal of Statistical Mechanics: Theory and Experiment, 2012 (8) P08019, P08019. doi: 10.1088/1742-5468/2012/08/P08019
Liu, Jin-Hua, Shi, Qian-Qian, Wang, Hong-Lei, Links, Jon and Zhou, Huan-Qiang (2012). Universal construction of order parameters for translation-invariant quantum lattice systems with symmetry-breaking order. Physical Review E, 86 (2) 020102, 020102.1-020102.5. doi: 10.1103/PhysRevE.86.020102
A variational approach for the quantum inverse scattering method
Andrew Birrell, Isaac, Phillip and Links, Jon R. (2012). A variational approach for the quantum inverse scattering method. Inverse Problems, 28 (3) 035008, 035008.1-035008.15. doi: 10.1088/0266-5611/28/3/035008
Quasi-exactly solvable models derived from the quasi-Gaudin algebra
Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Quasi-exactly solvable models derived from the quasi-Gaudin algebra. Journal of Physics A: Mathematical and Theoretical, 44 (48) 482001, 482001.1-482001.9. doi: 10.1088/1751-8113/44/48/482001
BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs
Dunning, Clare, Isaac, Phillip S., Links, Jon and Zhao, Shao-You (2011). BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs. Nuclear Physics B, 848 (2), 372-397. doi: 10.1016/j.nuclphysb.2011.03.001
Exact solutions for a family of spin-boson systems
Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Exact solutions for a family of spin-boson systems. Nonlinearity, 24 (7), 1975-1986. doi: 10.1088/0951-7715/24/7/004
Finch, P. E., Dancer, K. A., Isaac, P. S. and Links, J. (2011). Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras. Nuclear Physics Section B, 847 (2), 387-412. doi: 10.1016/j.nuclphysb.2011.01.034
Ground-state phase diagram for a system of interacting, D(D-3) non-Abelian anyons
Finch, P. E., Frahm, H. and Links, J. (2011). Ground-state phase diagram for a system of interacting, D(D-3) non-Abelian anyons. Nuclear Physics B, 844 (1), 129-145. doi: 10.1016/j.nuclphysb.2010.11.003
Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry
Campbell, C. W., Dancer, K. A., Isaac, P. S. and Links, J. (2010). Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry. Nuclear Physics, Section B, 836 (3), 171-185. doi: 10.1016/j.nuclphysb.2010.04.014
Exact solution of the p + ip pairing Hamiltonian and a hierarchy of integrable models
Dunning, C, Ibanez, M, Links, J, Sierra, G and Zhao, SY (2010). Exact solution of the p + ip pairing Hamiltonian and a hierarchy of integrable models. Journal of Statistical Mechanics: Theory and Experiment, 2010 (8) P08025, P08025-1-P08025-62. doi: 10.1088/1742-5468/2010/08/P08025
Quantum phase transitions in an interacting atom-molecule boson model
Santos, G., Foerster, A., Links, J., Mattei, E. and Dahmen, S. R. (2010). Quantum phase transitions in an interacting atom-molecule boson model. Physical Review A - Atomic, Molecular, and Optical Physics, 81 (6) 063621, 1-6. doi: 10.1103/PhysRevA.81.063621
Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry
Dancer, K. A., Finch, P. E., Isaac, P. S. and Links, J. (2009). Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry. Nuclear Physics B, 812 (3), 456-469. doi: 10.1016/j.nuclphysb.2008.12.002
Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry
Ibanez, Miguel, Links, Jon, Sierra, German and Zhao, Shao-you (2009). Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry. Physical Review B, 79 (18) 180501, 180501.1-180501.4. doi: 10.1103/PhysRevB.79.180501
A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer
Links, Jon and Zhao, Shao-You (2009). A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer. Journal of Statistical Mechanics: Theory and Experiment, 2009 (3) P03013, 1-16. doi: 10.1088/1742-5468/2009/03/P03013
Dancer, K. A. and Links, J. (2009). Universal spectral parameter-dependent Lax operators for the Drinfeld double of the dihedral group D-3. Journal of Physics A - Mathematical and Theoretical, 42 (4) 042002, 134-7. doi: 10.1088/1751-8113/42/4/042002
The quantum inverse scattering method with anyonic grading
Batchelor, M. T., Foerster, A., Guan, X.-W., Links, J. R. and Zhou, H.-Q. (2008). The quantum inverse scattering method with anyonic grading. Journal of Physics A: Mathematical and Theoretical, 41 (46) 465201, 465201-1-465201-13. doi: 10.1088/1751-8113/41/46/465201
Some spectral equivalences between Schrödinger operators
Dunning, C., Hibberd, K. E. and Links, J. R. (2008). Some spectral equivalences between Schrödinger operators. Journal of Physics A: Mathematical and Theoretical, 41 (31) 315211, 315211-1-315211-12. doi: 10.1088/1751-8113/41/31/315211
Where the Links-Gould invariant first fails to distinguish nonmutant prime knots
De Wit, David and Links, Jon (2007). Where the Links-Gould invariant first fails to distinguish nonmutant prime knots. Journal of Know Theory and Its Ramifications, 16 (8), 1021-1041. doi: 10.1142/S0218216507005658
An algebraic approach to symmetric pre-monoidal statistics
Isaac, P. S., Joyce, W. P. and Links, J. (2007). An algebraic approach to symmetric pre-monoidal statistics. Journal of Algebra and Its Applications, 6 (1), 49-69. doi: 10.1142/S0219498807002065
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model
Duncan, Melissa, Foerster, Angela, Links, Jon, Mattei, Eduardo, Oelkers, Norman and Tonel, Ariel Prestes (2007). Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model. Nuclear Physics B, 767 (3), 227-249. doi: 10.1016/j.nuclphysb.2006.12.015
Ground-state properties of the attractive one-dimensional Bose-Hubbard model
Oelkers, N. and Links, J. (2007). Ground-state properties of the attractive one-dimensional Bose-Hubbard model. Physical Review B, 75 (11) 115119, 115119-1-115119-15. doi: 10.1103/PhysRevB.75.115119
Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]
Dancer, K. A., Gould, M. D. and Links, J. (2007). Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]. Algebras and Representation Theory, 10 (6), 593-617. doi: 10.1007/s10468-007-9049-2
On quantum phase crossovers in finite systems
Dunning, Clare, Hibberd, Katrina E. and Links, Jon (2006). On quantum phase crossovers in finite systems. Journal of Statistical Mechanics: Theory and Experiment, 2006 (11) P11005, 1-11. doi: 10.1088/1742-5468/2006/11/P11005
Dancer, K. A., Isaac, P. S. and Links, J. (2006). Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation. Journal of Mathematical Physics, 47 (10) 103511, 103511-1-103511-18. doi: 10.1063/1.2359575
Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]
Dancer, K. A., Gould, M. D. and Links, J. (2006). Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]. Journal of Statistical Mechanics: Theory and Experiment, 2006 (6) P06011, P06011-1-P06011-19. doi: 10.1088/1742-5468/2006/06/P06011
A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons
Hibberd, K. E., Dunning, C. and Links, J. (2006). A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons. Nuclear Physics B, 748 (3), 458-472. doi: 10.1016/j.nuclphysb.2006.04.026
Bethe Ansatz Solutions of the Bose-Hubbard Dimer
Links, Jon and Hibberd, Katrina E. (2006). Bethe Ansatz Solutions of the Bose-Hubbard Dimer. Symmetry Integrability and Geometry-Methods and Applications, 2. doi: 10.3842/SIGMA.2006.095
Bethe ansatz solutions of the Bose-Hubbard Dimer
Links, Jon and Hibberd , Katrina E. (2006). Bethe ansatz solutions of the Bose-Hubbard Dimer. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2 (95), 1-8. doi: 10.3842/SIGMA.2006.095
Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates
Santos, G., Tonel, A., Foerster, A. and Links, J. R. (2006). Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates. Physical Review A, 73 (2) 023609, 023609. doi: 10.1103/PhysRevA.73.023609
Mehta, M., Dancer, K. A., Gould, M. D. and Links, J. R. (2006). Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras. Journal of Physics A: Mathematical and General, 39 (1), L17-L26. doi: 10.1088/0305-4470/39/1/L03
Bouwknegt, Peter, Jarvis, Peter and Links, Jon R. (2006). Preface. Reports On Mathematical Physics, 57 (1), 1-2. doi: 10.1016/S0034-4877(06)00006-1
Teleportation via Multi-Qubit Channels
Links, J., Barjaktarevic, J. P., Milburn, G. J. and McKenzie, R. H. (2006). Teleportation via Multi-Qubit Channels. Quantum Information and Computation, 6 (7), 641-670.
Eigenvalues of Casimir invariants for Uq[osp(m|n)]
Dancer, K. A., Gould, M. D. and Links, J. R. (2005). Eigenvalues of Casimir invariants for Uq[osp(m|n)]. Journal of Mathematical Physics, 46 (12) 123501, 123501-1-123501-20. doi: 10.1063/1.2137712
Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates
Tonel, A. P., Links, J. and Foerster, A. (2005). Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates. Journal of Physics A - Mathematical and General, 38 (31), 6879-6891. doi: 10.1088/0305-4470/38/31/002
Ground-State Entanglement of the BCS Model
Dunning, Clare, Links, Jon and Zhou, Huan-Qiang (2005). Ground-State Entanglement of the BCS Model. Physical Review Letters, 94 (22) 227002, 227002-1-227002-4. doi: 10.1103/PhysRevLett.94.227002
Infinitely many two-variable generalisations of the Alexander-Conway polynomial
De Wit, David, Ishii, Atsushi and Links, Jon (2005). Infinitely many two-variable generalisations of the Alexander-Conway polynomial. Algebraic & Geometric Topology, 5, 405-418. doi: 10.2140/agt.2005.5.405
Measurement-based teleportation along quantum spin chains
Barjaktarevic, J. P., McKenzie, R. H., Links, J. and Milburn, G. J. (2005). Measurement-based teleportation along quantum spin chains. Physical Review Letters, 95 (23) 230501, 230501. doi: 10.1103/PhysRevLett.95.230501
Quantum dynamics of a model for two Josephson-coupled Bose-Einstein condensates
Tonel, A.P., Links, J. and Foerster, A. (2005). Quantum dynamics of a model for two Josephson-coupled Bose-Einstein condensates. Journal of Physics A - Mathematical and General, 38 (6), 1235-1245. doi: 10.1088/0305-4470/38/6/004
The 1D Bose Gas with Weakly Repulsive Delta Interaction
Batchelor, M. T., Guan, X. W., Dunning, C. and Links, J. (2005). The 1D Bose Gas with Weakly Repulsive Delta Interaction. Journal of the Physical Society of Japan, 74
Integrability of the Russian doll BCS model
Dunning, Clare T. and Links, Jon R. (2004). Integrability of the Russian doll BCS model. Nuclear Physics B, 702 (3), 481-494. doi: 10.1016/j.nuclphysb.2004.09.021
Energy level statistics for models of coupled single-mode Bose-Einstein condensates
Dahmen, Silvio R., Links, Jon, McKenzie, Ross H. and Zhou, Huan-Qiang (2004). Energy level statistics for models of coupled single-mode Bose-Einstein condensates. Journal of Statistical Mechanics: Theory and Experiment, October 2004 (10) P10019, P10019-1-P10019-9. doi: 10.1088/1742-5468/2004/10/P10019
Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2003). Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins. Journal of Physics A: Mathematical and General, 36 (19), R63-R104. doi: 10.1088/0305-4470/36/19/201
Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
Zhou, H., Links, J. R., McKenzie, R. H. and Guan, X-W. (2003). Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates. Journal of Physics A: Mathematical and General, 36 (7), L113-L119. doi: 10.1088/0305-4470/36/7/104
Integrable generalized spin ladder models based on the SU(1|3) and SU(3|1) algebras
Tonel, A. P., Foerster, A., Hibberd, K. and Links, J. (2003). Integrable generalized spin ladder models based on the SU(1|3) and SU(3|1) algebras. Journal of Mathematical Physics, 44 (12), 6032-6039. doi: 10.1063/1.1627973
Integrable impurity spin ladder systems
Tonel, A.P., Foerster, A., Guan, X. W. and Links, J. (2003). Integrable impurity spin ladder systems. Journal of Physics A - Mathematical and General, 36 (2), 359-370. doi: 10.1088/0305-4470/36/2/305
Links, JR and De Witt, D (2003). Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]. Journal of Knot Theory And Its Ramifications, 12 (6), 739-749. doi: 10.1142/S021821650300272X
Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme
Zhou, H. Q., Links, J., Gould, M. D. and McKenzie, R. H. (2003). Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme. Journal of Mathematical Physics, 44 (10), 4690-4701. doi: 10.1063/1.1605495
Links, J. and Zhou, H. Q. (2002). Exact form factors for the Josephson tunneling current and relative particle number fluctuations in a model of two coupled Bose-Einstein condensates. Letters In Mathematical Physics, 60 (3), 275-282. doi: 10.1023/A:1016239508822
Links, J., Zhou, H. Q., McKenzie, R. H. and Gould, M. D. (2002). Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains. International Journal of Modern Physics B, 16 (23), 3429-3438. doi: 10.1142/S0217979202011949
Integrability and exact solution for coupled BCS systems associated with the su(4) Lie algebra
Guan, X. W., Foerster, A., Links, J. R. and Zhou, H. Q. (2002). Integrability and exact solution for coupled BCS systems associated with the su(4) Lie algebra. Nuclear Physics B, 642 (3), 501-514. doi: 10.1016/S0550-3213(02)00776-9
Integrability and exact spectrum of a pairing model for nucleons
Links, J. R., Zhou, H., Gould, M. D. and McKenzie, R. H. (2002). Integrability and exact spectrum of a pairing model for nucleons. Journal of Physics A: Mathematical and General, 35 (2) 317, 6459-6469. doi: 10.1088/0305-4470/35/30/317
Integrable coupling in a model for Josephson tunneling between non-identical BCS systems
Links, J. R. and Hibberd, K. E. (2002). Integrable coupling in a model for Josephson tunneling between non-identical BCS systems. International Journal of Modern Physics B, 16 (14 & 15), 2009-2015. doi: 10.1142/S0217979202011743
Integrable variant of the one-dimensional Hubbard model
Guan, X. W., Foerster, A., Links, J. R., Zhou, H., Tonel, A. P. and McKenzie, R. H. (2002). Integrable variant of the one-dimensional Hubbard model. Journal of Mathematical Physics, 43 (7), 3445-3457. doi: 10.1063/1.1481956
Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models
Ge, X., Gould, M. D., Links, J. R. and Zhou, H. (2002). Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models. Journal of Physics A: Mathematical and General, 35 (29) 403, 6197-6201. doi: 10.1088/0305-4470/35/29/403
Zhou, Huan-Qiang, Links, Jon, McKenzie, Ross H. and Gould, Mark D. (2002). Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz. Physical Review B, 65 (6) 060502, 060502-1-060502-4. doi: 10.1103/PhysRevB.65.060502
Integrable anisotropic spin-ladder model
Tonel, A. P., Foerster, A., Links, J. and Malvezzi, A. L. (2001). Integrable anisotropic spin-ladder model. Physical Review B, 64 (5) 054420, 054420-1-054420-5. doi: 10.1103/PhysRevB.64.054420
Bracken, Anthony J., Ge, Xiang-Yu, Gould, Mark D., Links, Jon and Zhou, Huan-Qiang (2001). Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions. Journal of Physics A-mathematical And General, 34 (21), 4459-4474. doi: 10.1088/0305-4470/34/21/304
Ladder operator for the one-dimensional Hubbard model
Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2001). Ladder operator for the one-dimensional Hubbard model. Physical Review Letters, 86 (22), 5096-5099. doi: 10.1103/PhysRevLett.86.5096
Exact solution for the Bariev model with boundary fields
Foerster, A, Guan, XW, Links, J, Roditi, I and Zhou, HQ (2001). Exact solution for the Bariev model with boundary fields. Nuclear Physics B, 596 (3), 525-547. doi: 10.1016/S0550-3213(00)00682-9
Integrable Kondo impurity in one-dimensional q-deformed t-J models
Ge, X. Y., Gould, M. D., Links, J. and Zhou, H. Q. (2001). Integrable Kondo impurity in one-dimensional q-deformed t-J models. Journal of Physics A-mathematical And General, 34 (41), 8543-8561. doi: 10.1088/0305-4470/34/41/311
Jordan-Wigner fermionization of the one-dimensional Bariev model of three coupled XY chains
Guan, X.W., Foerster, A., Links, J. and Zhou, H.Q. (2001). Jordan-Wigner fermionization of the one-dimensional Bariev model of three coupled XY chains. Journal of Physics A - Mathematical and General, 34 (44), 9357-9365. doi: 10.1088/0305-4470/34/44/302
Quantum spin ladder systems associated with su(2 vertical bar 2)
Foerster, A., Hibberd, K. E., Links, J. R. and Roditi, I. (2001). Quantum spin ladder systems associated with su(2 vertical bar 2). Journal of Physics A-mathematical And General, 34 (5), L25-L29. doi: 10.1088/0305-4470/34/5/102
Transfer matrix eigenvalues of the anisotropic multiparametric U model
Links, J. and Foerster, A. (2001). Transfer matrix eigenvalues of the anisotropic multiparametric U model. Journal of Physics A - Mathematical and General, 34 (29), 5835-5862. doi: 10.1088/0305-4470/34/29/307
Integrable Kondo impurities in one-dimensional extended Hubbard models
Zhou, H-Q, Ge, X. Y., Links, J. R. and Gould, M. D. (2000). Integrable Kondo impurities in one-dimensional extended Hubbard models. Physical Review B, 62 (8), 4906-4921. doi: 10.1103/PhysRevB.62.4906
Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras
Batchelor, M. T., de Gier, J., Links, J. and Maslen, M. (2000). Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras. Journal of Physics A - Mathematical and General, 33 (12), L97-L101. doi: 10.1088/0305-4470/33/12/101
A construction for R-matrices without difference property in the spectral parameter
Links, J (2000). A construction for R-matrices without difference property in the spectral parameter. Physics Letters A, 265 (3), 194-206. doi: 10.1016/S0375-9601(99)00839-7
Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry
Hibberd, K, Roditi, I, Links, J and Foerster, A (2000). Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry. Modern Physics Letters A, 15 (2), 133-143. doi: 10.1142/S021773230000013X
Integrable open supersymmetric U model with boundary impurity
Foerster, A, Hibberd, KE, Links, JR and Roditi, I (2000). Integrable open supersymmetric U model with boundary impurity. Physics Letters A, 271 (3), 198-206. doi: 10.1016/S0375-9601(00)00357-1
Solution of a two-leg spin ladder system
Links, J. R. and Foerster, A. (2000). Solution of a two-leg spin ladder system. Physical Review B, 62 (1), 65-68. doi: 10.1103/PhysRevB.62.65
Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras
Links, JR, Gould, MD and Zhang, YZ (2000). Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras. Journal of Mathematical Physics, 41 (7), 5020-5032. doi: 10.1063/1.533390
Algebraic properties of an integrable t-j model with impurities
Foerster, A., Links, J. and Tonel, A. P. (1999). Algebraic properties of an integrable t-j model with impurities. Nuclear Physics B, 552 (3), 707-726. doi: 10.1016/S0550-3213(99)00190-X
Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry
Links, J, Foerster, A and Karowski, M (1999). Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry. Journal of Mathematical Physics, 40 (2), 726-735. doi: 10.1063/1.532701
Extended integrability regime for the supersymmetric U model
Links, J. R. (1999). Extended integrability regime for the supersymmetric U model. Journal of Physics A - Mathematical and General, 32 (27), L315-L319. doi: 10.1088/0305-4470/32/27/104
Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model
Zhou, H.Q., Ge, X.Y., Links, J and Gould, M.D. (1999). Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model. Nuclear Physics B, 546 (3), 779-799. doi: 10.1016/S0550-3213(99)00085-1
Integrability of a t - J model with impurities
Links, J. R. and Foerster, A. (1999). Integrability of a t - J model with impurities. Journal of Physics A-mathematical And General, 32 (1), 147-157. doi: 10.1088/0305-4470/32/1/016
New integrable model of correlated electrons with off-diagonal long-range order from so(5) symmetry
Foerster, A, Links, J and Roditi, I (1999). New integrable model of correlated electrons with off-diagonal long-range order from so(5) symmetry. Journal of Physics A-mathematical And General, 32 (41), L441-L445. doi: 10.1088/0305-4470/32/41/101
On the Links-Gould invariant of links
De Wit, D, Links, JR and Kauffman, LH (1999). On the Links-Gould invariant of links. Journal of Knot Theory and its Ramifications, 8 (2), 165-199. doi: 10.1142/S0218216599000110
Integrable multiparametric quantum spin chains
Foerster, A, Links, J and Roditi, I (1998). Integrable multiparametric quantum spin chains. Journal of Physics A-mathematical And General, 31 (2), 687-695. doi: 10.1088/0305-4470/31/2/024
Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons
Links, J, Hibberd, K, Gould, M and Foerster, A (1998). Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons. European Physical Journal B, 5 (3), 309-312. doi: 10.1007/s100510050447
Anisotropic correlated electron model associated with the Temperley-Lieb algebra
Foerster, A, Links, J and Roditi, I (1997). Anisotropic correlated electron model associated with the Temperley-Lieb algebra. Modern Physics Letters A, 12 (14), 1035-1040. doi: 10.1142/S0217732397001059
Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))
Gould, MD and Links, JR (1997). Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n)). Journal of Physics A-mathematical And General, 30 (5), 1613-1627. doi: 10.1088/0305-4470/30/5/024
On the construction of integrable closed chains with quantum supersymmetry
Links, J and Foerster, A (1997). On the construction of integrable closed chains with quantum supersymmetry. Journal of Physics A-mathematical And General, 30 (7), 2483-2487. doi: 10.1088/0305-4470/30/7/026
Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997). Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model. Journal of Physics A-mathematical And General, 30 (12), 4313-4325. doi: 10.1088/0305-4470/30/12/018
Integrable systems on open chains with quantum supersymmetry
Links, JR and Gould, MD (1996). Integrable systems on open chains with quantum supersymmetry. International Journal of Modern Physics B, 10 (25), 3461-3480. doi: 10.1142/S0217979296001859
General eigenvalue formula for Casimir invariants of type I quantum superalgebras
Gould, MD and Links, JR (1996). General eigenvalue formula for Casimir invariants of type I quantum superalgebras. Journal of Mathematical Physics, 37 (5), 2426-2456. doi: 10.1063/1.531519
Eigenvalues of casimir invariants for type I quantum superalgebras
Gould, MD, Links, JR and Zhang, YZ (1996). Eigenvalues of casimir invariants for type I quantum superalgebras. Letters in Mathematical Physics, 36 (4), 415-425. doi: 10.1007/BF00714406
Integrable electron model with correlated hopping and quantum supersymmetry
Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4
Temperley-Lieb algebra and a new integrable electronic model
Links, J (1996). Temperley-Lieb algebra and a new integrable electronic model. Journal of Physics A-Mathematical and General, 29 (4), L69-L73. doi: 10.1088/0305-4470/29/4/002
Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials
Gould, MD, Links, JR and Zhang, YZ (1996). Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials. Journal of Mathematical Physics, 37 (2), 987-1003. doi: 10.1063/1.531422
A q-superdimension formula for irreps of type I quantum superalgebras
Links, JR and Gould, MD (1996). A q-superdimension formula for irreps of type I quantum superalgebras. Journal of Mathematical Physics, 37 (1), 484-492. doi: 10.1063/1.531403
Algebraic Bethe ansatz for the anisotropic supersymmetric U model
Hibberd, KE, Gould, MD and Links, JR (1996). Algebraic Bethe ansatz for the anisotropic supersymmetric U model. Journal of Physics A-mathematical And General, 29 (24), 8053-8065. doi: 10.1088/0305-4470/29/24/028
Algebraic Bethe ansatz for the supersymmetric U model
Hibberd, K. E., Gould, M. D. and Links, J. R. (1996). Algebraic Bethe ansatz for the supersymmetric U model. Physical Review B: Condensed Matter and Materials Physics, 54 (12), 8430-8437. doi: 10.1103/PhysRevB.54.8430
Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N)). Journal of Physics A-Mathematical and General, 28 (21), 6203-6210. doi: 10.1088/0305-4470/28/21/023
On Type-I Quantum Affine Superalgebras
Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). On Type-I Quantum Affine Superalgebras. International Journal of Modern Physics a, 10 (23), 3259-3281. doi: 10.1142/S0217751X95001571
New Supersymmetric and Exactly Solvable Model of Correlated Electrons
Bracken, AJ, Gould, MD, Links, JR and Zhang, YZ (1995). New Supersymmetric and Exactly Solvable Model of Correlated Electrons. Physical Review Letters, 74 (14), 2768-2771. doi: 10.1103/PhysRevLett.74.2768
Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N))
Links, JR and Gould, MD (1995). Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N)). Journal of Mathematical Physics, 36 (1), 531-545. doi: 10.1063/1.531321
Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups
Links, JR, Scheunert, M and Gould, MD (1994). Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups. Letters in Mathematical Physics, 32 (3), 231-240. doi: 10.1007/BF00750665
Induced Module Construction for Highest-Weight Representations of U(Q)(Gl(N)) At Roots of Unity
Links, JR and Zhang, RB (1994). Induced Module Construction for Highest-Weight Representations of U(Q)(Gl(N)) At Roots of Unity. Journal of Physics A-Mathematical and General, 27 (22) 003, L861-L869. doi: 10.1088/0305-4470/27/22/003
Invariants for Quantum Supergroups and Some Applications
Links, JR (1994). Invariants for Quantum Supergroups and Some Applications. Bulletin of the Australian Mathematical Society, 49 (2), 347-348. doi: 10.1017/S0004972700016415
Multiparameter Link Invariants From Quantum Supergroups
Links, JR and Zhang, RB (1994). Multiparameter Link Invariants From Quantum Supergroups. Journal of Mathematical Physics, 35 (3), 1377-1386. doi: 10.1063/1.530595
Eigenvalues of Casimir Invariants of Uq(Gl(M/n))
Links, JR and Zhang, RB (1993). Eigenvalues of Casimir Invariants of Uq(Gl(M/n)). Journal of Mathematical Physics, 34 (12), 6016-6024. doi: 10.1063/1.530246
Quantum Supergroups, Link Polynomials and Representation of the Braid Generator
Links, JR, Gould, MD and Zhang, RB (1993). Quantum Supergroups, Link Polynomials and Representation of the Braid Generator. Reviews in Mathematical Physics, 5 (2), 345-361. doi: 10.1142/S0129055X93000097
Raising and lowering operators for Uq(gl(n))
Links, J. and Gould, M. D. (1993). Raising and lowering operators for Uq(gl(n)). Journal of Mathematical Physics, 34 (4), 1577-1586. doi: 10.1063/1.530175
Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]
Links, JR, Gould, MD and Tsohantjis, I (1993). Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]. Letters in Mathematical Physics, 27 (1), 51-58. doi: 10.1007/BF00739589
2 Variable Link Polynomials From Quantum Supergroups
Links, JR and Gould, MD (1992). 2 Variable Link Polynomials From Quantum Supergroups. Letters in Mathematical Physics, 26 (3), 187-198. doi: 10.1007/BF00420752
Matrix elements and Wigner coefficients for Uq[gl(n)]
Gould, M. D., Links, J. and Bracken, A. J. (1992). Matrix elements and Wigner coefficients for Uq[gl(n)]. Journal of Mathematical Physics, 33 (3), 1008-1022. doi: 10.1063/1.529986
Casimir invariants for Hopf algebras
Links, J. R. and Gould, M. D. (1992). Casimir invariants for Hopf algebras. Reports on Mathematical Physics, 31 (1), 91-111. doi: 10.1016/0034-4877(92)90007-N
On completeness of Bethe Ansatz solutions for sl(2) Richardson–Gaudin systems
Links, Jon (2017). On completeness of Bethe Ansatz solutions for sl(2) Richardson–Gaudin systems. International Colloquium in Group Theoretical Methods in Physics, Rio de Janeiro, Brazil, 19-25 June 2016. Cham, Switzerland: Springer International Publishing. doi: 10.1007/978-3-319-69164-0_36
Shen, Yibing and Links, Jon (2015). Richardson - Gaudin form of Bethe Ansatz solutions for an atomic-molecular Bose-Einstein condensate model. 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent, Belgium, 14-18 July 2014. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/597/1/012068
Exactly solvable BCS-BEC crossover Hamiltonians
Birrell, A., Isaac, P. S. and Links, J. (2013). Exactly solvable BCS-BEC crossover Hamiltonians. The XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20-26 August 2012. Hackensack, NJ, United States: World Scientific. doi: 10.1142/9789814518550_0018
Exactly solvable, non-Hermitian BCS Hamiltonian
Moghaddam, Amir , Links, Jon and Zhang, Yao-Zhong (2013). Exactly solvable, non-Hermitian BCS Hamiltonian. XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20-26 August 2012. City of Singapore, Singapore: World Scientific Publishing.
The two-site Bose-Hubbard model
Links, Jon, Foerster, Angela, Tonel, Ariel Prestes and Santos, Gilberto (2006). The two-site Bose-Hubbard model. Basel, Switzerland: Birkhauser Verlag Ag. doi: 10.1007/s00023-006-0295-3
Ribbon structure in symmetric pre-monoidal categories
Wagner, L., Links, J. and Isaac, P. (2005). Ribbon structure in symmetric pre-monoidal categories. XXV International Colloquium on Group Theoretical Methods in, Cocoyoc, Mexico, 2-6 August, 2004. Bristol, U.K.: Institute of Physics Publishing.
The 1D Bose Gas with Weakly Repulsive Delta Interaction
Batchelor, M. T., Guan, X-W., Dunning, C. and Links, J. (2005). The 1D Bose Gas with Weakly Repulsive Delta Interaction. Statistical Physics of Quantum Systems, Sendai, Japan, 17 - 20 July 2004. Japan: The Physical Society of Japan. doi: 10.1143/jpsjs.74s.53
Zhou, H. Q., Links, J. and McKenzie, R. H. (2003). Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate. Singapore: World Scientific Publishing Company. doi: 10.1142/S0217979203023203
Integrability and exact solution of an electronic model with long range interactions
Hibberd, KE and Links, JR (2003). Integrability and exact solution of an electronic model with long range interactions. Bristol: Iop Publishing Ltd.
Ladder operators for integrable one-dimensional lattice models
Takizawa, M. C. and Links, J. (2003). Ladder operators for integrable one-dimensional lattice models. 24th International Colloquium on Group Theoretical Methods in Physics (ICGTMP-2002), Paris, France, 15-20 July 2002. Bristol, UK: Institute of Physics.
Guan, Xi-Wen, Foerster, Angela, Links, Jon and Zhou, Huan-Qiang (2002). Exact results for BCS systems. 2002 Workshop on Integrable Theories, Solitons and Duality, UNESP 2002, Sao Paulo, , July 1, 2002-July 6, 2002. Sissa Medialab Srl.
U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model
Hibberd, KE, Gould, MD and Links, JR (1998). U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.
The supersymmetric U model and Bethe ansatz equations
Hibberd, KE, Links, JR and Gould, MD (1997). The supersymmetric U model and Bethe ansatz equations. XXI International Colloquium on Group Theoretical Methods in Physics - Group 21, Goslar Germany, Jul 15-20, 1996. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD.
Invariants for quantum supergroups and some applications
Links, Jon Robert (1993). Invariants for quantum supergroups and some applications. PhD Thesis, School of Physical Sciences, The University of Queensland. doi: 10.14264/uql.2015.547
Quantum control designed from broken integrability
(2020–2023) ARC Discovery Projects
Unified theory of Richardson-Gaudin integrability
(2015–2019) ARC Discovery Projects
Topological properties of exactly-solvable, two-dimensional quantum systems
(2011–2013) ARC Discovery Projects
International Union of Pure and Applied Physics XXIV Conference on Statistical Physics
(2010) Ian Potter Foundation
Mathematical physics of mesoscopic systems
(2008) UQ External Support Enabling Grant
(2006–2008) Australian National University
Integrable quantum systems: mathematical foundations for developing quantum science
(2005–2007) ARC Discovery Projects
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
(2004) ARC Seed Funding for Research Networks
Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
(2003–2005) ARC Discovery Projects
Quantum Phase Transitions, coherence and Dynamics of Coupled Bose-Einstein Condensates
(2003–2005) UQ Foundation Research Excellence Awards - DVC(R) Funding
Research in the field of integrable spin ladder systems
(2001) UQ Travel Grants Scheme
Representations of Quantum Superalgebras: Theory and Applications
(2000–2005) ARC Australian Research Fellowship/QEII F/ship
Heterogeneous analogues of the supersymmetric U model of correlated electrons
(1999) ARC Australian Research Council (Small grants)
Application of two-variable link polynomials in Physics
(1997) University of Queensland New Staff Research Grant
Application of quantum superalgebras in supersymmetric solvable models
(1996–1999) ARC Australian Postdoctoral Research Fellowship
Quantum control designed from broken integrability.
Doctor Philosophy — Principal Advisor
Other advisors:
Solvable supersymmetric field theories, string theory and AdS/CFT
Doctor Philosophy — Associate Advisor
Other advisors:
Algebraic aspects of lattice models
Doctor Philosophy — Associate Advisor
Other advisors:
Lattice loop models
Doctor Philosophy — Associate Advisor
Other advisors:
Bethe Ansatz analysis of the open and closed p + ip-pairing BCS models
(2019) Doctor Philosophy — Principal Advisor
Other advisors:
Richardson-Gaudin models from the Boundary Quantum Inverse Scattering Method
(2016) Doctor Philosophy — Principal Advisor
Other advisors:
(2014) Doctor Philosophy — Principal Advisor
Other advisors:
Numerical Simulations of the Ising Model on the Union Jack Lattice
(2010) Doctor Philosophy — Principal Advisor
Solutions to the Yang-Baxter equation and the Drinfield double of group algebras
(2010) Doctor Philosophy — Principal Advisor
Other advisors:
Spectra of Transfer Matrices of Exactly Solvable Models with D(D3) Symmetry
(2010) Doctor Philosophy — Principal Advisor
Other advisors:
On the Construction of Braided Pre-monoidal Nonassociative Categories
(2008) Doctor Philosophy — Principal Advisor
Other advisors:
The Ladder Operator Approach to Constructing Conserved Operators in Integrable One-Dimensional Lattice Models
(2005) Doctor Philosophy — Principal Advisor
Other advisors:
LIE ALGEBRAS
(2003) Doctor Philosophy — Principal Advisor
Other advisors:
New families of exactly solvable many-body models and superintegrable systems
(2019) Master Philosophy — Associate Advisor
Other advisors:
Exact Solutions of Quasi-exactly Solvable Quantum Systems
(2014) Doctor Philosophy — Associate Advisor
Other advisors:
FREE FIELD REALIZATION OF CURRENT SUPERALGEBRAS AND BOSONIZATION OF PARAFERMIONIC ALGEBRAS
(2013) Doctor Philosophy — Associate Advisor
Other advisors:
Lie Algebra Deformations and the Exact Solutions of Integrable Quantum Many-Body Systems.
(2012) Doctor Philosophy — Associate Advisor
Other advisors:
BIFURCATIONS, PHASE TRANSITIONS AND TELEPORTATION IN ENTANGLED QUANTUM SYSTEMS
(2008) Doctor Philosophy — Associate Advisor
Other advisors:
(2008) Doctor Philosophy — Associate Advisor
Other advisors:
SOLUTIONS TO THE YANG-BAXTER EQUATION AND CASIMIR INVARIANTS FOR THE QUANTISED ORTHOSYMPLECTIC SUPERALGEBRA
(2005) Doctor Philosophy — Associate Advisor
Other advisors:
Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.
Quantum control designed from broken integrability
This project aims to open avenues in the mathematical design quantum devices based on cold atom systems. This will be achieved through the use of methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The classic techniques of quantum integrability, centred around the Quantum Inverse Scattering Method and the Bethe Ansatz, will form the foundations for the theory. Potential applications will be developed for the field of atomtronics – analogues of electronic systems that are based on the transport of cold atoms.
The successful applicant will be a member of an international collaboration that includes two institutes in Brazil. The applicant will enrol through the School of Mathematics and Physics.