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)

201 - 220 of 262 works

1998

Journal Article

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

Ge, XY, Gould, MD, Zhang, YZ and Zhou, HQ (1998). Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution. Physics Letters A, 238 (4-5), 309-314. doi: 10.1016/S0375-9601(97)00959-6

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

1998

Journal Article

Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model

Zhang, YZ and Zhou, HQ (1998). Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model. Journal of Physics A-mathematical And General, 31 (34), 7051-7059. doi: 10.1088/0305-4470/31/34/008

Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model

1998

Journal Article

A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry

Ge, XY, Gould, MD, Zhang, YZ and Zhou, HQ (1998). A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry. Journal of Physics A-mathematical And General, 31 (23), 5233-5239. doi: 10.1088/0305-4470/31/23/006

A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry

1998

Journal Article

New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations

Zhang, YZ and Zhou, HQ (1998). New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations. Physics Letters A, 244 (5), 427-431. doi: 10.1016/S0375-9601(98)00349-1

New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations

1998

Conference Publication

Drinfeld current realization and vertex operators of U-q[osp(1/2)((1))]

Zhang, YZ (1998). Drinfeld current realization and vertex operators of U-q[osp(1/2)((1))]. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

Drinfeld current realization and vertex operators of U-q[osp(1/2)((1))]

1998

Journal Article

An open-boundary integrable model of three coupled XY spin chains

Bracken, AJ, Ge, XY, Zhang, YZ and Zhou, HQ (1998). An open-boundary integrable model of three coupled XY spin chains. Nuclear Physics B, 516 (3), 603-622. doi: 10.1016/S0550-3213(98)00066-2

An open-boundary integrable model of three coupled XY spin chains

1998

Journal Article

On super-RS algebra and Drinfeld realization of quantum affine superalgebras

Gould, MD and Zhang, YZ (1998). On super-RS algebra and Drinfeld realization of quantum affine superalgebras. Letters In Mathematical Physics, 44 (4), 291-308. doi: 10.1023/A:1007494602290

On super-RS algebra and Drinfeld realization of quantum affine superalgebras

1997

Journal Article

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997). Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model. Journal of Physics A-mathematical And General, 30 (12), 4313-4325. doi: 10.1088/0305-4470/30/12/018

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

1997

Journal Article

Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

Zhang, YZ (1997). Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure. Journal of Physics A-mathematical And General, 30 (23), 8325-8335. doi: 10.1088/0305-4470/30/23/028

Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

1997

Journal Article

Super-Yangian double and its central extension

Zhang, YZ (1997). Super-Yangian double and its central extension. Physics Letters A, 234 (1), 20-26. doi: 10.1016/S0375-9601(97)00560-4

Super-Yangian double and its central extension

1996

Journal Article

Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))

Delius, GW, Huffmann, A, Gould, MD and Zhang, YZ (1996). Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n)). Journal of Physics A-Mathematical and General, 29 (17), 5611-5617. doi: 10.1088/0305-4470/29/17/031

Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))

1996

Journal Article

Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms

Inami, T, Odake, S and Zhang, YZ (1996). Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms. Nuclear Physics B, 470 (3), 419-432. doi: 10.1016/0550-3213(96)00133-2

Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms

1996

Journal Article

Twisted quantum affine algebras and solutions to the Yang-Baxter equation

Delius, GW, Gould, MD and Zhang, YZ (1996). Twisted quantum affine algebras and solutions to the Yang-Baxter equation. International Journal of Modern Physics a, 11 (19), 3415-3437. doi: 10.1142/S0217751X96001632

Twisted quantum affine algebras and solutions to the Yang-Baxter equation

1996

Journal Article

Integrable four-Fermi models with a boundary and boson-fermion duality

Inami, Takeo, Konno, Hitoshi and Zhang, Yao-Zhong (1996). Integrable four-Fermi models with a boundary and boson-fermion duality. Physics Letters B, 376 (1-3), 90-96. doi: 10.1016/0370-2693(96)00295-X

Integrable four-Fermi models with a boundary and boson-fermion duality

1996

Journal Article

Eigenvalues of casimir invariants for type I quantum superalgebras

Gould, MD, Links, JR and Zhang, YZ (1996). Eigenvalues of casimir invariants for type I quantum superalgebras. Letters in Mathematical Physics, 36 (4), 415-425. doi: 10.1007/BF00714406

Eigenvalues of casimir invariants for type I quantum superalgebras

1996

Journal Article

Integrable electron model with correlated hopping and quantum supersymmetry

Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4

Integrable electron model with correlated hopping and quantum supersymmetry

1996

Journal Article

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

Gould, MD, Links, JR and Zhang, YZ (1996). Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials. Journal of Mathematical Physics, 37 (2), 987-1003. doi: 10.1063/1.531422

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

1995

Journal Article

An extended supersymmetric t-J model

Zhang, YZ (1995). An extended supersymmetric t-J model. Acta Physica Polonica a, 88 (6), 1119-1122. doi: 10.12693/APhysPolA.88.1119

An extended supersymmetric t-J model

1995

Journal Article

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N)). Journal of Physics A-Mathematical and General, 28 (21), 6203-6210. doi: 10.1088/0305-4470/28/21/023

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

1995

Journal Article

Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions

Inami, T, Odake, S and Zhang, YZ (1995). Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions. Physics Letters B, 359 (1-2), 118-124. doi: 10.1016/0370-2693(95)01072-X

Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions

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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