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

239 works between 1986 and 2026
All (239) Book (2) Journal Article (221) Conference Publication (10) Book Chapter (6)

21 - 40 of 239 works

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, 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)

2021

Journal Article

Embedding of the Racah algebra R(n) and superintegrability

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2021). Embedding of the Racah algebra R(n) and superintegrability. Annals of Physics, 426 168397, 1-18. doi: 10.1016/j.aop.2021.168397

Embedding of the Racah algebra R(n) and superintegrability

2020

Journal Article

Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background

Zhang, Yao-Zhong (2020). Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background. Journal of Mathematical Physics, 61 (10) 0015848, 103508. doi: 10.1063/5.0015848

Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background

2020

Journal Article

New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions

Zhang, Yao-Zhong and Werry, Jason L. (2020). New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions. Journal of High Energy Physics, 2020 (3) 141. doi: 10.1007/JHEP03(2020)141

New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions

2020

Book Chapter

On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models

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.

On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models

2019

Journal Article

Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

Chen, Zhe, Marquette, Ian and Zhang, Yao-Zhong (2019). Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras. Annals of Physics, 411 167970. doi: 10.1016/j.aop.2019.167970

Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

2019

Journal Article

Strong superadditive deficit of coherence and quantum correlations distribution

Liu, Si-Yuan, Wu, Feng-Lin, Zhang, Yao-Zhong and Fan, Heng (2019). Strong superadditive deficit of coherence and quantum correlations distribution. Chinese Physics Letters, 36 (8) 080303, 080303. doi: 10.1088/0256-307X/36/8/080303

Strong superadditive deficit of coherence and quantum correlations distribution

2019

Journal Article

Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator

Hoffmann, Scott E., Hussin, Véronique, Marquette, Ian and Zhang, Yao-Zhong (2019). Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator. Journal of Mathematical Physics, 60 (5) 052105, 052105. doi: 10.1063/1.5091953

Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator

2019

Journal Article

Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras

Chen, Zhe, Marquette, Ian and Zhang, Yao-Zhong (2019). Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras. Annals of Physics, 402, 78-90. doi: 10.1016/j.aop.2019.01.009

Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras

2019

Book Chapter

Quasi-exactly solvable systems

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.

Quasi-exactly solvable systems

2019

Conference Publication

Coherent states for rational extensions and ladder operators related to infinite-dimensional representations

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

Coherent states for rational extensions and ladder operators related to infinite-dimensional representations

2019

Journal Article

Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier

Cheng, Qiao-Ling, Bai, Wen-Kai, Zhang, Yao-Zhong, Xiong, Bo and Yang, Tao (2019). Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier. Laser Physics, 29 (1) 015501, 015501. doi: 10.1088/1555-6611/aaea78

Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier

2018

Journal Article

Bell inequalities violation within non-Bunch–Davies states

Feng, Jun, Huang, Xiaoyang, Zhang, Yao-Zhong and Fan, Heng (2018). Bell inequalities violation within non-Bunch–Davies states. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 786, 403-409. doi: 10.1016/j.physletb.2018.10.020

Bell inequalities violation within non-Bunch–Davies states

2018

Journal Article

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

Extended Calogero models: a construction for exactly solvable kN-body systems

2018

Journal Article

Quantum estimation in an expanding spacetime

Huang, Xiaoyang, Feng, Jun, Zhang, Yao-Zhong and Fan, Heng (2018). Quantum estimation in an expanding spacetime. Annals of Physics, 397, 336-350. doi: 10.1016/j.aop.2018.08.021

Quantum estimation in an expanding spacetime

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

    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

    Quadratic Algebras and Their Casimir Invariant

    Associate Advisor

    Other advisors: Dr Phillip Isaac

  • Doctor Philosophy

    Supersymmetric field theories on curved manifolds and applications

    Associate Advisor

    Other advisors: Professor Artem Pulemotov, Dr Gabriele Tartaglino Mazzucchelli

  • Doctor Philosophy

    New frontiers in quantum field and gravity theories

    Associate Advisor

    Other advisors: Dr Gabriele Tartaglino Mazzucchelli

Completed supervision

Enquiries

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

  • Mathematical physics
  • Physics
  • Theoretical physics

Need help?

For help with finding experts, story ideas and media enquiries, contact our Media team:

communications@uq.edu.au