Associate Professor Yao-zhong Zhang
Associate Professor

Yao-zhong Zhang

Email: 
Phone: 
+61 7 336 53256

Background

A/Prof Yao-Zhong Zhang's research interests are in: Algebraic structures, quantum (super)integrable systems, (quasi-)exactly solvable models, 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 2006, he has been Reader/Associate Professor in the School of Mathematics and Physics of the University of Queensland.

Availability

Associate Professor Yao-zhong Zhang is:
Available for supervision
Media expert

Fields of research

Mathematical physics

Qualifications

  • Bachelor (Honours) of Science (Advanced), Xidian University
  • Masters (Research) of Science, Sichuan University
  • Doctor of Philosophy, Northwest University (西北大学)

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

Search Professor Yao-zhong Zhang’s works on UQ eSpace

236 works between 1986 and 2025
All (236) Book (2) Journal Article (219) Conference Publication (9) Book Chapter (6)

81 - 100 of 236 works

2012

Journal Article

Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms

Hao, Kun, Yang, Wen-Li, Fan, Heng, Liu, Si-Yuan, Wu, Ke, Yang, Zhan-Ying and Zhang, Yao-Zhong (2012). Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms. Nuclear Physics B, 862 (3), 835-849. doi: 10.1016/j.nuclphysb.2012.05.019

Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms

2012

Journal Article

Quasi-exactly solvable relativistic soft-core Coulomb models

Agboola, Davids and Zhang, Yao-Zhong (2012). Quasi-exactly solvable relativistic soft-core Coulomb models. Annals of Physics, 327 (9), 2275-2287. doi: 10.1016/j.aop.2012.07.002

Quasi-exactly solvable relativistic soft-core Coulomb models

2012

Journal Article

Pointed Hopf algebras with classical Weyl groups

Zhang, Shouchuan and Zhang, Yao-Zhong (2012). Pointed Hopf algebras with classical Weyl groups. International Journal of Mathematics, 23 (6) 1250066, 1250066-1-1250066-26. doi: 10.1142/S0129167X12500668

Pointed Hopf algebras with classical Weyl groups

2012

Journal Article

Exact solutions of the schrodinger equation with spherically symmetric octic potential

Agboola, Davids and Zhang, Yao-Zhong (2012). Exact solutions of the schrodinger equation with spherically symmetric octic potential. Modern Physics Letters A, 27 (20) 1250112, 1250112. doi: 10.1142/S021773231250112X

Exact solutions of the schrodinger equation with spherically symmetric octic potential

2012

Journal Article

Unified derivation of exact solutions for a class of quasi-exactly solvable models

Agboola, Davids and Zhang, Yao-Zhong (2012). Unified derivation of exact solutions for a class of quasi-exactly solvable models. Journal of Mathematical Physics, 53 (4) 042101, 042101. doi: 10.1063/1.3701833

Unified derivation of exact solutions for a class of quasi-exactly solvable models

2012

Journal Article

Exact polynomial solutions of second order differential equations and their applications

Zhang, Yao-Zhong (2012). Exact polynomial solutions of second order differential equations and their applications. Journal of Physics A: Mathematical and Theoretical, 45 (6) 065206, 065206.1-065206.20. doi: 10.1088/1751-8113/45/6/065206

Exact polynomial solutions of second order differential equations and their applications

2012

Journal Article

Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms

Chen, Xi, Feng, Jun, Hao, Kun, Wu, Ke, Yang, Wen-Li, Yang, Zhan-Ying and Zhang, Yao-Zhong (2012). Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms. Communications in Theoretical Physics, 57 (1), 19-28. doi: 10.1088/0253-6102/57/1/05

Drinfeld twist and symmetric Bethe vectors of open XYZ chain with non-diagonal boundary terms

2011

Journal Article

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

Quasi-exactly solvable models derived from the quasi-Gaudin algebra

2011

Journal Article

On classification of n-Lie algebras

Bai, Ruipu, Song, Guojie and Zhang, Yaozhong (2011). On classification of n-Lie algebras. Frontiers of Mathematics in China, 6 (4), 581-606. doi: 10.1007/s11464-011-0107-z

On classification of n-Lie algebras

2011

Journal Article

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

Exact solutions for a family of spin-boson systems

2011

Journal Article

Scalar products of the open XYZ chain with non-diagonal boundary terms

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Wu, Ke, Yang, Zhan-Ying and Zhang, Yao-Zhong (2011). Scalar products of the open XYZ chain with non-diagonal boundary terms. Nuclear Physics B, 848 (3), 523-544. doi: 10.1016/j.nuclphysb.2011.03.003

Scalar products of the open XYZ chain with non-diagonal boundary terms

2011

Journal Article

Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Shi, Kang-Jie, Sun, Cheng-Yi, Yang, Zhan-Ying and Zhang, Yao-Zhong (2011). Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end. Nuclear Physics B, 847 (2), 367-386. doi: 10.1016/j.nuclphysb.2011.01.029

Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end

2011

Journal Article

Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end

Yang, WL, Chen, X, Feng, J, Hao, K, Hou, BY, Shi, KJ and Zhang, YZ (2011). Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end. Nuclear Physics B, 844 (2), 289-307. doi: 10.1016/j.nuclphysb.2010.11.008

Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end

2011

Journal Article

Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Hou, Bo-Yu, Shi, Kang-Jie and Zhang, Yao-Zhong (2011). Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms. Journal of High Eneregy Physics, 2011 (1) 006, 1-18. doi: 10.1007/JHEP01(2011)006

Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms

2010

Journal Article

Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems

Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010). Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 (37) 375211, 375211-01-375211-12. doi: 10.1088/1751-8113/43/37/375211

Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems

2010

Journal Article

Drinfeld twists of the open XXZ chain with non-diagonal boundary terms

Yang, Wen-Li and Zhang, Yao-Zhong (2010). Drinfeld twists of the open XXZ chain with non-diagonal boundary terms. Nuclear Physics B, 831 (3), 408-428. doi: 10.1016/j.nuclphysb.2010.01.001

Drinfeld twists of the open XXZ chain with non-diagonal boundary terms

2010

Journal Article

Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems

Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010). Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 (18) 185204, 185204-1-185204-17. doi: 10.1088/1751-8113/43/18/185204

Polynomial algebras and exact solutions of general quantum nonlinear optical models I: two-mode boson systems

2010

Conference Publication

Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N

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.

Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N

2009

Journal Article

Differential operator realizations of superalgebras and free field representations of corresponding current algebras

Yang, Wen-Li, Zhang, Yao-Zhong and Kault, Samuel (2009). Differential operator realizations of superalgebras and free field representations of corresponding current algebras. Nuclear Physics, Section B, 823 (3), 372-402. doi: 10.1016/j.nuclphysb.2009.06.029

Differential operator realizations of superalgebras and free field representations of corresponding current algebras

2009

Journal Article

Partition function of the eight-vertex model with domain wall boundary condition

Yang, Wen-Li and Zhang, Yao-Zhong (2009). Partition function of the eight-vertex model with domain wall boundary condition. Journal of Mathematical Physics, 50 (8) 083518, 083518.1-083518.14. doi: 10.1063/1.3205448

Partition function of the eight-vertex model with domain wall boundary condition

Past funding

  • 2019 - 2025
    From superintegrability to quasi-exact solvability: theory and application
    ARC Discovery Projects
    Open grant
  • 2014 - 2016
    Constructive representation theory of classical and quantum Lie superalgebras
    ARC Discovery Projects
    Open grant
  • 2011 - 2013
    Mathematical models for disordered critical point theories
    ARC Discovery Projects
    Open grant
  • 2008
    Exact analytic methods for disordered critical point theories
    UQ External Support Enabling Grant
    Open grant
  • 2006 - 2008
    Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information
    ARC Discovery Projects
    Open grant
  • 2004
    Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
    ARC Seed Funding for Research Networks
    Open grant
  • 2004 - 2006
    Quantum many-body systems with long-range interactions
    ARC Linkage International
    Open grant
  • 2003 - 2004
    Quantum Groups and Boundary Integrable Field Theory
    Australian Academy of Science
    Open grant
  • 2003 - 2004
    Algebraic Structures and Correlations in Quantum Many-Body Systems
    ARC Discovery Projects
    Open grant
  • 2003 - 2005
    Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
    ARC Discovery Projects
    Open grant
  • 2002 - 2004
    Quantized Algebraic (Super) Structures and Applications
    ARC Linkage International
    Open grant
  • 2002
    Quantum correlations in degenerate Bose gases
    University of Queensland Research Development Grants Scheme
    Open grant
  • 2000
    Yangian Structures and Integrable Models with Long-Range Interactions.
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Boundary integrable models in condensed matter physics and quantum field theory
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Representations and Applications of Quantum Affine Superalgebras
    ARC Australian Research Council (Large grants)
    Open grant
  • 1999
    \-deformed (super) conformal field theory & q-(super) strings
    ARC International Research Exchange Program (IREX)
    Open grant
  • 1997
    Integrable quantum field theories with boundry interactons
    University of Queensland New Staff Research Grant
    Open grant
  • 1997
    Quantum groups and supersymmetry
    UQ External Support Enabling Grant
    Open grant

Availability

Associate Professor Yao-zhong Zhang is:
Available for supervision

Looking for a supervisor? Read our advice on how to choose a supervisor.

Available projects

  • R-matrices without difference property and related integrable models

  • Superintegrable models and polynomial algebraic structures

  • Aspects of quantum Rabi type spin boson systems

Supervision history

Current supervision

  • Master Philosophy

    Confluent Supersymmetric Quantum Mechanics

    Principal Advisor

  • Doctor Philosophy

    Algebraic and geometric approaches to superintegrable systems on manifolds

    Principal Advisor

  • Doctor Philosophy

    New frontiers in quantum field and gravity theories

    Associate Advisor

    Other advisors: Dr Gabriele Tartaglino Mazzucchelli

  • Doctor Philosophy

    Quadratic Algebras and Their Casimir Invariant

    Associate Advisor

    Other advisors: Dr Phillip Isaac

  • Doctor Philosophy

    Deformations of supersymmetric quantum field theories and gravity

    Associate Advisor

    Other advisors: Dr Gabriele Tartaglino Mazzucchelli

  • Doctor Philosophy

    New deformations in supersymmetric quantum field and gravity theories

    Associate Advisor

    Other advisors: Dr Gabriele Tartaglino Mazzucchelli

  • Doctor Philosophy

    Supersymmetric field theories on curved manifolds and applications

    Associate Advisor

    Other advisors: Professor Artem Pulemotov, Dr Gabriele Tartaglino Mazzucchelli

Completed supervision

Enquiries

Contact Associate Professor Yao-zhong Zhang directly for media enquiries about:

  • Mathematical physics
  • Physics
  • Theoretical physics

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