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)

121 - 140 of 235 works

2006

Journal Article

On the construction of correlation functions for the integrable supersymmetric fermion models

Zhao, SY, Yang, WL and Zhang, YZ (2006). On the construction of correlation functions for the integrable supersymmetric fermion models. International Journal of Modern Physics B, 20 (5), 505-549. doi: 10.1142/S0217979206033383

On the construction of correlation functions for the integrable supersymmetric fermion models

2006

Journal Article

Determinant representations of correlation functions for the supersymmetric t-J model

Zhao, SY, Yang, WL and Zhang, YZ (2006). Determinant representations of correlation functions for the supersymmetric t-J model. Communications In Mathematical Physics, 268 (2), 505-541. doi: 10.1007/s00220-006-0113-2

Determinant representations of correlation functions for the supersymmetric t-J model

2006

Journal Article

Drinfeld twists and algebraic bethe ansatz of the supersymmetric model associated with U-q(gl(m vertical bar n))

Yang, WL, Zhang, YZ and Zhao, SY (2006). Drinfeld twists and algebraic bethe ansatz of the supersymmetric model associated with U-q(gl(m vertical bar n)). Communications In Mathematical Physics, 264 (1), 87-114. doi: 10.1007/s00220-005-1513-4

Drinfeld twists and algebraic bethe ansatz of the supersymmetric model associated with U-q(gl(m vertical bar n))

2005

Journal Article

Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models

Zhao, Shao-You, Yang, Wen-Li and Zhang, Yao-Zhong (2005). Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models. Journal of Statistical Mechanics: Theory and Experiment, 2005 (April) P04005, PO4005-1-PO4005-24. doi: 10.1088/1742-5468/2005/04/P04005

Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models

2005

Journal Article

Exact solution of the A(n-1)((1)) trigonometric vertex model with non-diagonal open boundaries

Yang, Wen-Li and Zhang, Yao-Zhong (2005). Exact solution of the A(n-1)((1)) trigonometric vertex model with non-diagonal open boundaries. The Journal of High Energy Physics, 2005 (1) 021, 021-1-021-21. doi: 10.1088/1126-6708/2005/01/021

Exact solution of the A(n-1)((1)) trigonometric vertex model with non-diagonal open boundaries

2005

Journal Article

A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)

Zhang, Yao-Zhong and Gould, M. D. (2005). A unified and complete construction of all finite dimensional irreducible representations of gl(2|2). Journal of Mathematical Physics, 46 (1) 013505, 013505-1-013505-19. doi: 10.1063/1.1812829

A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)

2005

Journal Article

A(n-1) Gaudin model with open boundaries

Yang, Wen-Li, Zhang, Yao-Zhong and Sasaki, Ryu (2005). A(n-1) Gaudin model with open boundaries. Nuclear Physics B, 729 (3), 594-610. doi: 10.1016/j.nuclphysb.2005.09.003

A(n-1) Gaudin model with open boundaries

2005

Journal Article

Primary Fields and Screening Currents of gl (2/2) non-unitary conformal field theory

Zhang, Y. Z., Liu, X. and Yang, W. L. (2005). Primary Fields and Screening Currents of gl (2/2) non-unitary conformal field theory. Nuclear Physics B, 704 (3), 510-526. doi: 10.1016/j.nuclphysb.2004.10.011

Primary Fields and Screening Currents of gl (2/2) non-unitary conformal field theory

2005

Journal Article

Various topological excitations in the SO(4) gauge field in higher dimensions

Liu, X, Zhang, YZ, Duan, YS and Fu, LB (2005). Various topological excitations in the SO(4) gauge field in higher dimensions. Annals of Physics, 318 (2), 419-431. doi: 10.1016/j.aop.2005.02.001

Various topological excitations in the SO(4) gauge field in higher dimensions

2005

Journal Article

Axial Anomaly for Eguchi-Hanson Metrics with Nonzero Total Mass

Zhang, X. and Zhang, Y. Z. (2005). Axial Anomaly for Eguchi-Hanson Metrics with Nonzero Total Mass. Communications In Theoretical Physics, 43 (1), 79-80. doi: 10.1088/0253-6102/43/1/016

Axial Anomaly for Eguchi-Hanson Metrics with Nonzero Total Mass

2004

Journal Article

Non-diagonal solutions of the reflection equation for the trigonometric A((1)) (n-1) vertex model

Yang, Wen-Li and Zhang, Yao-Zhong (2004). Non-diagonal solutions of the reflection equation for the trigonometric A((1)) (n-1) vertex model. The Journal of High Energy Physics, 8 (12) 019, 19-1-19-12. doi: 10.1088/1126-6708/2004/12/019

Non-diagonal solutions of the reflection equation for the trigonometric A((1)) (n-1) vertex model

2004

Journal Article

Braided m-Lie algebras

Zhang, S. H. and Zhang, Y. Z. (2004). Braided m-Lie algebras. Letters In Mathematical Physics, 70 (2), 155-167. doi: 10.1007/s11005-004-4294-3

Braided m-Lie algebras

2004

Journal Article

Z(n) elliptic Gaudin model with open boundaries

Yang, Wen-Li, Sasaki, Ryu and Zhang, Yao-Zhong (2004). Z(n) elliptic Gaudin model with open boundaries. The Journal of High Energy Physics, 2004 (9) 046, 046-1-046-18. doi: 10.1088/1126-6708/2004/09/046

Z(n) elliptic Gaudin model with open boundaries

2004

Journal Article

Drinfield twists and alegebraic Bethe ansatz of the supersymmetric t-J model

Yang, Wen-Li, Zhang, Yao-Zhong and Zhao, Shao-You (2004). Drinfield twists and alegebraic Bethe ansatz of the supersymmetric t-J model. The Journal of High Energy Physics, 8 (12) 038, 038-1-038-24. doi: 10.1088/1126-6708/2004/12/038

Drinfield twists and alegebraic Bethe ansatz of the supersymmetric t-J model

2004

Journal Article

Exact solution of the XXZ Gaudin model with generic open boundaries

Yang, W. L., Zhang, Y. Z. and Gould, M. D. (2004). Exact solution of the XXZ Gaudin model with generic open boundaries. Nuclear Physics B, 698 (3), 503-516. doi: 10.1016/j.nuclphysb.2004.07.029

Exact solution of the XXZ Gaudin model with generic open boundaries

2004

Journal Article

Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory

Zhang, Y. Z. (2004). Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory. Physics Letters A, 327 (5-6), 442-451. doi: 10.1016/j.physleta.2004.05.017

Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory

2004

Journal Article

Quantum doubles from a class of noncocommutative weak Hopf algebras

Li, F and Zhang, YZ (2004). Quantum doubles from a class of noncocommutative weak Hopf algebras. Journal of Mathematical Physics, 45 (8), 3266-3281. doi: 10.1063/1.1767989

Quantum doubles from a class of noncocommutative weak Hopf algebras

2003

Journal Article

On osp(2|2) conformal field theories

Ding, Xiang-Mao, Gould, Mark D., Mewton, Courtney J. and Zhang, Yao-Zhong (2003). On osp(2|2) conformal field theories. Journal of Physics A-mathematical And General, 36 (11), 7649-7665. doi: 10.1088/0305-4470/36/27/316

On osp(2|2) conformal field theories

2003

Journal Article

gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory

Ding, X. M., Gould, M. D. and Zhang, Y. Z. (2003). gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory. Physics Letters A, 318 (4-5), 354-363. doi: 10.1016/j.physleta.2003.08.034

gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory

2002

Journal Article

Elliptic Gaudin models and elliptic KZ equations

Gould, Mark D., Zhang, Yao-Zhong and Zhao, Shao-You (2002). Elliptic Gaudin models and elliptic KZ equations. Nuclear Physics B, 630 (3), 492-508. doi: 10.1016/S0550-3213(02)00136-0

Elliptic Gaudin models and elliptic KZ equations

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

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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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