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

235 works between 1986 and 2025
All (235) Book (2) Journal Article (218) Conference Publication (9) Book Chapter (6)

61 - 80 of 235 works

2014

Journal Article

New quasi-exactly solvable class of generalized isotonic oscillators

Agboola, Davids, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2014). New quasi-exactly solvable class of generalized isotonic oscillators. Journal of Physics A: Mathematical and Theoretical, 47 (39) 395305, 395305.1-395305.17. doi: 10.1088/1751-8113/47/39/395305

New quasi-exactly solvable class of generalized isotonic oscillators

2014

Journal Article

Construction of basis vectors for symmetric irreducible representations of O(5) (Formula Presented.) O(3)

Pan, Feng, Bao, Lina, Zhang, Yao-Zhong and Draayer, Jerry P. (2014). Construction of basis vectors for symmetric irreducible representations of O(5) (Formula Presented.) O(3). European Physical Journal Plus, 129 (8) 169, 1-27. doi: 10.1140/epjp/i2014-14169-0

Construction of basis vectors for symmetric irreducible representations of O(5) (Formula Presented.) O(3)

2014

Journal Article

ZN symmetric chiral Rabi model: a new N-level system

Zhang, Yao-Zhong (2014). ZN symmetric chiral Rabi model: a new N-level system. Annals of Physics, 347, 122-129. doi: 10.1016/j.aop.2014.05.003

ZN symmetric chiral Rabi model: a new N-level system

2014

Journal Article

Exact polynomial solutions of Schrodinger equation with various hyperbolic potentials

Wen, Fa-Kai, Yang, Zhan-Ying, Liu, Chong, Yang, Wen-Li and Zhang, Yao-Zhong (2014). Exact polynomial solutions of Schrodinger equation with various hyperbolic potentials. Communications in Theoretical Physics, 61 (2), 153-159. doi: 10.1088/0253-6102/61/2/02

Exact polynomial solutions of Schrodinger equation with various hyperbolic potentials

2014

Journal Article

Finite dimensional nichols algebras over finite cyclic groups

Wu, Weicai, Zhang, Shouchuan and Zhang, Yao-Zhong (2014). Finite dimensional nichols algebras over finite cyclic groups. Journal of Lie Theory, 24 (2), 351-372.

Finite dimensional nichols algebras over finite cyclic groups

2013

Journal Article

Exact solutions to relativistic singular fractional power potentials

Agboola, Davids and Zhang, Yao-Zhong (2013). Exact solutions to relativistic singular fractional power potentials. Journal of Physics A: Mathematical and Theoretical, 46 (50) 505301, 505301.1-505301.15. doi: 10.1088/1751-8113/46/50/505301

Exact solutions to relativistic singular fractional power potentials

2013

Journal Article

Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces

Zhang, Yao-Zhong (2013). Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces. Journal of Physics A-Mathematical and Theoretical, 46 (45) 455302, 455302.1-455302.13. doi: 10.1088/1751-8113/46/45/455302

Solving the two-mode squeezed harmonic oscillator and the kth-order harmonic generation in Bargmann-Hilbert spaces

2013

Journal Article

Entropic uncertainty relations under the relativistic motion

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2013). Entropic uncertainty relations under the relativistic motion. Physics Letters B, 726 (1-3), 527-532. doi: 10.1016/j.physletb.2013.08.069

Entropic uncertainty relations under the relativistic motion

2013

Journal Article

On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations

Zhang, Yao-Zhong (2013). On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations. Journal of Mathematical Physics, 54 (10) 102104, 102104.1-102104.13. doi: 10.1063/1.4826356

On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations

2013

Journal Article

Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems

Pan, Feng, Li, Bo, Zhang, Yao-Zhong and Draayer, Jerry P. (2013). Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems. Physical Review C, 88 (3) 034305, 034305.1-034305.11. doi: 10.1103/PhysRevC.88.034305

Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems

2013

Journal Article

Efficient universal quantum computation with auxiliary Hilbert space

Li, Wen-Dong, Gu, Yong-Jian, Liu, Kai, Lee, Yuan-Harng and Zhang, Yao-Zhong (2013). Efficient universal quantum computation with auxiliary Hilbert space. Physical Review A (Atomic, Molecular and Optical Physics), 88 (3) 034303, 034303.1-034303.4. doi: 10.1103/PhysRevA.88.034303

Efficient universal quantum computation with auxiliary Hilbert space

2013

Book Chapter

Exactly solvable, non-hermitian BCS Hamiltonian

Moghaddam, Amir, Links, Jon and Zhang, Yao-Zhong (2013). Exactly solvable, non-hermitian BCS Hamiltonian. Symmetries and Groups in Contemporary Physics. (pp. 627-630) Singapore, Singapore: World Scientific. doi: 10.1142/9789814518550_0091

Exactly solvable, non-hermitian BCS Hamiltonian

2013

Journal Article

BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics

Links, Jon, Moghaddam, Amir and Zhang, Yao-Zhong (2013). BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics. Journal of Physics A: Mathematical and Theoretical, 46 (30) 305205, 305205.1-305205.18. doi: 10.1088/1751-8113/46/30/305205

BCS model with asymmetric pair scattering: a non-Hermitian, exactly solvable Hamiltonian exhibiting generalized exclusion statistics

2013

Journal Article

Classification of quiver Hopf algebras and pointed Hopf algebras of type one

Zhang, Shouchuan, Chen, Hui-Xiang and Zhang, Yao-Zhong (2013). Classification of quiver Hopf algebras and pointed Hopf algebras of type one. Bulletin of the Australian Mathematical Society, 87 (2), 216-237. doi: 10.1017/S0004972712000494

Classification of quiver Hopf algebras and pointed Hopf algebras of type one

2013

Journal Article

Novel quasi-exactly solvable models with anharmonic singular potentials

Agboola, Davids and Zhang, Yao-Zhong (2013). Novel quasi-exactly solvable models with anharmonic singular potentials. Annals of Physics, 330, 246-262. doi: 10.1016/j.aop.2012.11.013

Novel quasi-exactly solvable models with anharmonic singular potentials

2013

Journal Article

Notes on teleportation in an expanding space

Feng, Jun, Yang, Wen-Li, Zhang, Yao-Zhong and Fan, Heng (2013). Notes on teleportation in an expanding space. Physics Letters B, 719 (4-5), 430-434. doi: 10.1016/j.physletb.2013.01.026

Notes on teleportation in an expanding space

2013

Conference Publication

Exactly solvable, non-Hermitian BCS Hamiltonian

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.

Exactly solvable, non-Hermitian BCS Hamiltonian

2012

Journal Article

Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model

Links, Jon, Moghaddam, Amir and Zhang, Yao-Zhong (2012). Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model. Journal of Physics A: Mathematical and Theoretical, 45 (46) 462002, 462002.1-462002.6. doi: 10.1088/1751-8113/45/46/462002

Deconfined quantum criticality and generalized exclusion statistics in a non-Hermitian BCS model

2012

Journal Article

Free-field realization of the exceptional current superalgebra D(2,1;alpha)k

Chen, Xi, Yang, Wen-Li, Ding, Xiang-Mao, Feng, Jun, Ke, San-Min, Wu, Ke and Zhang, Yao-Zhong (2012). Free-field realization of the exceptional current superalgebra D(2,1;alpha)k. Journal of Physics A: Mathematical and Theoretical, 45 (40) 405204, 405204. doi: 10.1088/1751-8113/45/40/405204

Free-field realization of the exceptional current superalgebra D(2,1;alpha)k

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

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

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

Completed supervision

Enquiries

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

  • Mathematical physics
  • Physics
  • Theoretical physics

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