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

262 works between 1986 and 2025
All (262) Journal Article (243) Book Chapter (6) Conference Publication (11) Book (2)

21 - 40 of 262 works

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

2018

Journal Article

Coherent states for ladder operators of general order related to exceptional orthogonal polynomials

Hoffmann, Scott E., Hussin, Veronique, Marquette, Ian and Zhang, Yao-Zhong (2018). Coherent states for ladder operators of general order related to exceptional orthogonal polynomials. Journal of Physics A: Mathematical and Theoretical, 51 (31) 315203, 315203. doi: 10.1088/1751-8121/aacb3b

Coherent states for ladder operators of general order related to exceptional orthogonal polynomials

2018

Journal Article

Fine-grained uncertainty relations under relativistic motion

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2018). Fine-grained uncertainty relations under relativistic motion. Europhysics Letters, 122 (6) 60001. doi: 10.1209/0295-5075/122/60001

Fine-grained uncertainty relations under relativistic motion

2018

Journal Article

Quantum superintegrable system with a novel chain structure of quadratic algebras

Liao, Yidong, Marquette, Ian and Zhang, Yao-Zhong (2018). Quantum superintegrable system with a novel chain structure of quadratic algebras. Journal of Physics A: Mathematical and Theoretical, 51 (25) 255201. doi: 10.1088/1751-8121/aac111

Quantum superintegrable system with a novel chain structure of quadratic algebras

2018

Journal Article

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). Recurrence approach and higher order polynomial algebras for superintegrable monopole systems. Journal of Mathematical Physics, 59 (5) 052101, 052101. doi: 10.1063/1.5012859

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems

2018

Journal Article

Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

Hoque, Md. Fazlul, Marquette, Ian, Post, Sarah and Zhang, Yao-Zhong (2018). Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials. Annals of Physics, 391, 203-215. doi: 10.1016/j.aop.2018.02.008

Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

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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