Associate Professor Yao-zhong Zhang

Reader

Mathematics
Faculty of Science
yzz@maths.uq.edu.au
+61 7 336 53256

Overview

A/Prof Yao-Zhong Zhang's research interests are in: Lie (super)algebras, quantized algebras, representations, quantum integrable systems, (quasi-)exactly solvable models, correlation functions, supersymmetry and conformal field theory.

Yao-Zhong Zhang received his PhD from Northwest University, China, in 1988 under the supervision of Prof Bo-Yu Hou. He spent 12 years in Europe, Japan and Australia as Postdoctoral/Research Fellow, before becoming in 2001 a permament staff member as a Senior Lecturer in Mathematics of the University of Queensland. Since April 2006, he has hold the position of Reader in the School of Mathematics and Physics of the University of Queensland, with the academic title of Associate Professor.

Research Interests

  • Integrable, superintegrable, exactly solvable and quasi-exactly solvable systems
  • Spin-boson systems, quantum Rabi model and generalizations
  • Algebraic Bethe ansatz, quantum inverse scattering method and related algebraic structures
  • Lie (super)algebras, quantum algebras, representations, correlation functions, supersymmetry and conformal field theory

Qualifications

  • PhD, Northwest
  • Master of Science, Sichuan University
  • Bachelor of Science (Honours), Xidian University

Publications

View all Publications

Supervision

View all Supervision

Available Projects

View all Available Projects

Publications

Book

Book Chapter

  • Zhang, Yao-Zhong (2020). On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models. Hilbert Spaces: properties and applications. (pp. 123-142) edited by Le Bin Ho. New York, NY, United States: Nova Science Publishers.

  • Zhang, Yao-Zhong (2019). Quasi-exactly solvable systems. Integrable model methods and their applications. (pp. 322-384) edited by Wen-Li Yang, Zhan-Ying Yang and Tao Yang. Beijing, China: Science Press.

  • Zhang, Yao-Zhong (2006). Super coherent states, boson-fermion realizations and representations of superalgebras. New developments in field theory. (pp. 139-156) edited by O. Kovras. New York, USA: Nova Science Publishers.

  • 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

Journal Article

Conference Publication

  • Hoffmann, Scott E., Hussin, Véronique, Marquette, Ian and Zhang, Yao-Zhong (2019). Coherent states for rational extensions and ladder operators related to infinite-dimensional representations. XXVI International Conference on Integrable Systems and Quantum symmetries, Prague, Czech Republic, 8–12 July 2019. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/1416/1/012013

  • Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). On superintegrable monopole systems. 25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017, Prague, Czech Republic, June 6-10, 2017. BRISTOL: Institute of Physics Publishing. doi: 10.1088/1742-6596/965/1/012018

  • Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2016). Family of N-dimensional superintegrable systems and quadratic algebra structures. 23rd International Conference on Integrable Systems and Quantum Symmetries, ISQS 2015, Prague, Czech Republic, 23 - 27 June 2015. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/670/1/012024

  • 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.

  • Bai, Rui-Pu, Shen, Cai-Hong and Zhang, Yao-Zhong (2010). Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N. 3rd International Workshop on Matrix Analysis and Applications, Hangzhou, People's Republic of China, 9-13 July 2009. Pensacola, FL, U.S.A.: International Linear Algebra Society.

  • Sasaki, Ryu, Yang, Wen-Li and Zhang, Yao-Zhong (2009). Bethe ansatz solutions to quasi exactly solvable difference equations. Analytic and Algebraic Methods V, Ukraine, Czech Republic, May 27–28 2009. Tereschenkivska, Ukraine: Natsional'na Akademiya Nauk Ukrainy. doi: 10.3842/SIGMA.2009.104

  • Zhang, Y.Z. (1999). Drinfeld current realization and vertex operators of Uq[osp(1 | 2)(1)]. XXII International Colloquium on Group Theoretical Method in Physics, Hobart, 13-17 Jul 1998. Boston: International Press.

  • Zhang, Y.Z. (1999). On quasi-Hopf and elliptic superalgebras. Gauge Theory and Integrable Models, Kyoto, 26-29 January, 1999. Kyoto, Japan: Kyoto University. doi: 10.1143/PTPS.135.182

  • Zhang, YZ (1998). Drinfeld current realization and vertex operators of U-q[osp(1/2)((1))]. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

Grants (Administered at UQ)

PhD and MPhil Supervision

Current Supervision

  • Doctor Philosophy — Principal Advisor

    Other advisors:

Completed Supervision

Possible Research Projects

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.