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

261 works between 1986 and 2025
All (261) Journal Article (242) Book Chapter (6) Conference Publication (11) Book (2)

1 - 20 of 261 works

2025

Journal Article

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

Lu, Pengcheng, Cao, Junpeng, Yang, Wen-Li, Marquette, Ian and Zhang, Yao-Zhong (2025). Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields. The Journal of High Energy Physics, 2025 (2) 87, 2. doi: 10.1007/jhep02(2025)087

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

2024

Journal Article

Charged massless scalar fields in a charged C-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves

Chen, Ming, Tartaglino-Mazzucchelli, Gabriele and Zhang, Yao-Zhong (2024). Charged massless scalar fields in a charged C-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves. Physical Review D, 110 (12) 124065. doi: 10.1103/physrevd.110.124065

Charged massless scalar fields in a charged C-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves

2024

Journal Article

T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature

Lu, Pengcheng, Cao, Junpeng, Yang, Wen-Li, Marquette, Ian and Zhang, Yao-Zhong (2024). T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature. Journal of Physics A: Mathematical and Theoretical, 57 (44) 445205, 445205. doi: 10.1088/1751-8121/ad85b3

T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature

2024

Journal Article

Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries

Dong, Jiasheng, Lu, Pengcheng, Cao, Junpeng, Yang, Wen-Li, Marquette, Ian and Zhang, Yao-Zhong (2024). Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries. Journal of Physics A: Mathematical and Theoretical, 57 (30) 305202. doi: 10.1088/1751-8121/ad5ee3

Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries

2024

Journal Article

Bethe ansatz solutions and hidden sl(2) algebraic structure for a class of quasi-exactly solvable systems

Li, Siyu, Marquette, Ian and Zhang, Yao-Zhong (2024). Bethe ansatz solutions and hidden sl(2) algebraic structure for a class of quasi-exactly solvable systems. Annals of Physics, 462 169595, 169595. doi: 10.1016/j.aop.2024.169595

Bethe ansatz solutions and hidden sl(2) algebraic structure for a class of quasi-exactly solvable systems

2024

Journal Article

Finite dimensional irreducible representations of Lie superalgebra D (2, 1; α)

Chen, Xi, Yang, Wen-Li, Ding, Xiang-Mao and Zhang, Yao-Zhong (2024). Finite dimensional irreducible representations of Lie superalgebra D (2, 1; α). Communications in Theoretical Physics, 76 (2) 025002. doi: 10.1088/1572-9494/ad1588

Finite dimensional irreducible representations of Lie superalgebra D (2, 1; α)

2023

Journal Article

Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜<sub>3</sub>

Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜3. Journal of Physics: Conference Series, 2667 (1) 012037, 1-10. doi: 10.1088/1742-6596/2667/1/012037

Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜<sub>3</sub>

2023

Journal Article

On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2023). On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces. Journal of Physics: Conference Series, 2667 (1) 012046, 1-8. doi: 10.1088/1742-6596/2667/1/012046

On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces

2023

Journal Article

Polynomial algebras from Lie algebra reduction chains g ⊃ g ′

Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Polynomial algebras from Lie algebra reduction chains g ⊃ g ′. Annals of Physics, 459 169496, 1-19. doi: 10.1016/j.aop.2023.169496

Polynomial algebras from Lie algebra reduction chains g ⊃ g ′

2023

Journal Article

Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2023). Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces. Journal of Physics A: Mathematical and Theoretical, 56 (35) 355201, 1-50. doi: 10.1088/1751-8121/ace949

Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces

2023

Journal Article

Infinite-dimensional representations of cubic and quintic algebras and special functions

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2023). Infinite-dimensional representations of cubic and quintic algebras and special functions. European Physical Journal Plus, 138 (6) 537, 1-17. doi: 10.1140/epjp/s13360-023-04155-2

Infinite-dimensional representations of cubic and quintic algebras and special functions

2023

Journal Article

Finding new multipartite entangled resources for measurement-based quantum computation

Li, Wendong, Ma, Xiaoping, Lee, Yuan-Harng, Zhang, Yaozhong and Gu, Yongjian (2023). Finding new multipartite entangled resources for measurement-based quantum computation. Quantum Information Processing, 22 (3) 130, 1-15. doi: 10.1007/s11128-023-03870-0

Finding new multipartite entangled resources for measurement-based quantum computation

2023

Journal Article

Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras

Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras. Journal of Physics A: Mathematical and Theoretical, 56 (4) 045202, 1-27. doi: 10.1088/1751-8121/acb576

Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras

2022

Journal Article

Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators. Physica D: Nonlinear Phenomena, 440 133464, 1-20. doi: 10.1016/j.physd.2022.133464

Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators

2022

Journal Article

Editorial: Uncertainty relations and their applications

Wang, Dong, Hu, Ming-Liang, Feng, Jun and Zhang, Yao-Zhong (2022). Editorial: Uncertainty relations and their applications. Frontiers in Physics, 10 997835. doi: 10.3389/fphy.2022.997835

Editorial: Uncertainty relations and their applications

2022

Journal Article

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras. Journal of Physics A: Mathematical and Theoretical, 55 (33) 335203, 1-42. doi: 10.1088/1751-8121/ac7ca3

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras

2022

Book

Uncertainty relations and their applications

Dong Wang, Ming-Liang Hu, Jun Feng and Yao-Zhong Zhang eds. (2022). Uncertainty relations and their applications. Frontiers Research Topics, Lausanne, Switzerland: Frontiers Research Foundation. doi: 10.3389/978-2-83250-137-5

Uncertainty relations and their applications

2021

Journal Article

Exact solution of the two-axis two-spin Hamiltonian

Pan, Feng, Zhang, Yao-Zhong, Qi, Xiaohan, Liang, Yue, Zhang, Yuqing and Draayer, Jerry P. (2021). Exact solution of the two-axis two-spin Hamiltonian. Journal of Statistical Mechanics: Theory and Experiment, 2021 (10) 103104. doi: 10.1088/1742-5468/ac26b3

Exact solution of the two-axis two-spin Hamiltonian

2021

Journal Article

Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2021). Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures. Journal of Physics A: Mathematical and Theoretical, 54 (39) 395202, 395202. doi: 10.1088/1751-8121/ac1ee8

Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

2021

Journal Article

N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N)

Correa, Francisco, Fazlul Hoque, Md, Marquette, Ian and Zhang, Yao-Zhong (2021). N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N). Journal of Physics A: Mathematical and Theoretical, 54 (39) 395201, 395201. doi: 10.1088/1751-8121/ac1dc1

N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N)

Current funding

  • 2019 - 2025
    From superintegrability to quasi-exact solvability: theory and application
    ARC Discovery Projects
    Open grant

Past funding

  • 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

Before you email them, read our advice on how to contact 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

Completed supervision

Enquiries

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

  • Mathematical physics
  • Physics
  • Theoretical physics

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