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)

101 - 120 of 235 works

2009

Conference Publication

Bethe ansatz solutions to quasi exactly solvable difference equations

Sasaki, Ryu, Yang, Wen-Li and Zhang, Yao-Zhong (2009). Bethe ansatz solutions to quasi exactly solvable difference equations. Analytic and Algebraic Methods V, Ukraine, Czech Republic, May 27–28 2009. Tereschenkivska, Ukraine: Natsional'na Akademiya Nauk Ukrainy. doi: 10.3842/SIGMA.2009.104

Bethe ansatz solutions to quasi exactly solvable difference equations

2009

Journal Article

Bethe ansatz solutions to quasi exactly solvable difference equations

Sasaki, Ryu, Yang, Wen-Li and Zhang, Yao-Zhong (2009). Bethe ansatz solutions to quasi exactly solvable difference equations. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5 104. doi: 10.3842/SIGMA.2009.104

Bethe ansatz solutions to quasi exactly solvable difference equations

2009

Journal Article

3-Lie algebras with an ideal N

Bai, Rui-pu, Shen, Cai-hong and Zhang, Yao-Zhong (2009). 3-Lie algebras with an ideal N. Linear Algebra and its Applications, 431 (5-7), 673-700. doi: 10.1016/j.laa.2009.03.018

3-Lie algebras with an ideal N

2008

Journal Article

Free-field realization of the osp(2n/2n) current algebra

Yang, Wen-Li and Zhang, Yao-Zhong (2008). Free-field realization of the osp(2n/2n) current algebra. Physical Review D, 78 (10) 106004, 106004-1-106004-12. doi: 10.1103/PhysRevD.78.106004

Free-field realization of the osp(2n/2n) current algebra

2008

Journal Article

Multiple reference states and complete spectrum of the Zn Belavin model with open boundaries

Yang, Wen-Li and Zhang, Yao-Zhong (2008). Multiple reference states and complete spectrum of the Zn Belavin model with open boundaries. Nuclear Physics B, 789 (3), 591-609. doi: 10.1016/j.nuclphysb.2007.07.024

Multiple reference states and complete spectrum of the Zn Belavin model with open boundaries

2008

Journal Article

On explicit free field realization of current algebras

Yang, Wen-Li and Zhang, Yao-Zhong (2008). On explicit free field realization of current algebras. Nuclear Physics B, 800 (3), 527-546. doi: 10.1016/j.nuclphysb.2008.02.011

On explicit free field realization of current algebras

2008

Journal Article

Local quasitriangular Hopf algebras

Zhang, Shouchuan, Gould, Mark D. and Zhang, Yao-Zhong (2008). Local quasitriangular Hopf algebras. Symmetry, Integrability and Geometry: Methods and Applications, 4 042, 1-14. doi: 10.3842/SIGMA.2008.042

Local quasitriangular Hopf algebras

2008

Journal Article

Inner structure of Spinc (4) gauge potential on 4-dimensional manifolds

Liu, X., Duan, Y-S., Yang, Wen-Li and Zhang, Yao-Zhong (2008). Inner structure of Spinc (4) gauge potential on 4-dimensional manifolds. Annals of Physics, 323 (9), 2107-2114. doi: 10.1016/j.aop.2008.06.002

Inner structure of Spinc (4) gauge potential on 4-dimensional manifolds

2007

Journal Article

On the second reference state and complete eigenstates of the open XXZ chain

Yang, Wen-Li and Zhang, Yao-Zhong (2007). On the second reference state and complete eigenstates of the open XXZ chain. The Journal of High Energy Physics, 2007 (4) 044, 044-1-044-10. doi: 10.1088/1126-6708/2007/04/044

On the second reference state and complete eigenstates of the open XXZ chain

2007

Journal Article

Supersymmetric vertex models with domain wall boundary conditions

Zhao, S. Y. and Zhang, Y. Z. (2007). Supersymmetric vertex models with domain wall boundary conditions. Journal of Mathematical Physics, 48 (2) 023504, 023504-1-023504-12. doi: 10.1063/1.2436986

Supersymmetric vertex models with domain wall boundary conditions

2007

Journal Article

Classification of PM quiver Hopf algebras

Zhang, S., Zhang, Y. Z. and Chen, H. X. (2007). Classification of PM quiver Hopf algebras. Journal of Algebra and Its Applications, 6 (6), 919-950. doi: 10.1142/S0219498807002569

Classification of PM quiver Hopf algebras

2007

Journal Article

Structures and representations of generalized path algebras

Zhang, S. and Zhang, Y. Z. (2007). Structures and representations of generalized path algebras. Algebras and Representation Theory, 10 (2), 117-134. doi: 10.1007/s10468-006-9036-z

Structures and representations of generalized path algebras

2007

Journal Article

Finite matrix Model of Quantum Hall Fluids on S2

Chen, Y. X., Gould, M. D. and Zhang, Y. Z. (2007). Finite matrix Model of Quantum Hall Fluids on S2. Bulletin of the Australian Mathematical Society, 76 (1), 111-132. doi: 10.1017/S0004972700039502

Finite matrix Model of Quantum Hall Fluids on S2

2007

Journal Article

Free field realization of current superalgebra gl(m/n)k

Yang, W. L., Zhang, Y. Z. and Liu, X. (2007). Free field realization of current superalgebra gl(m/n)k. Journal of Mathematical Physics, 48 (5) 053514, 053514.1-053514.11. doi: 10.1063/1.2739306

Free field realization of current superalgebra gl(m/n)k

2007

Journal Article

Exact classical solutions of nonlinear sigma models on supermanifolds

Sasaki, R., Yang, W. L. and Zhang, Y. Z. (2007). Exact classical solutions of nonlinear sigma models on supermanifolds. Nuclear Physics B, 772 (3), 371-384. doi: 10.1016/j.nuclphysb.2007.03.013

Exact classical solutions of nonlinear sigma models on supermanifolds

2006

Journal Article

gl(414) current superalgebra: Free field realization and screening currents

Yang, WL, Zhang, YZ and Liu, X (2006). gl(414) current superalgebra: Free field realization and screening currents. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 641 (3-4), 329-334. doi: 10.1016/j.physletb.2006.08.046

gl(414) current superalgebra: Free field realization and screening currents

2006

Journal Article

Q-operator and T-Q relation from the fusion hierarchy

Yang, Wen-Li, Nepomechie, Rafael I. and Zhang, Yao-Zhong (2006). Q-operator and T-Q relation from the fusion hierarchy. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 633 (4-5), 664-670. doi: 10.1016/j.physletb.2005.12.022

Q-operator and T-Q relation from the fusion hierarchy

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))

2006

Journal Article

Determinant representation of correlation functions for the Uq(gl(1|1)) free fermion model

Zhao, Shao-You, Yang, Wen-Li and Zhang, Yao-Zhong (2006). Determinant representation of correlation functions for the Uq(gl(1|1)) free fermion model. Journal of Mathematical Physics, 47 (1) 013302, 013302-1-013302-15. doi: 10.1063/1.2161019

Determinant representation of correlation functions for the Uq(gl(1|1)) free fermion model

2006

Book Chapter

Super coherent states, boson-fermion realizations and representations of superalgebras

Zhang, Yao-Zhong (2006). Super coherent states, boson-fermion realizations and representations of superalgebras. New developments in field theory. (pp. 139-156) edited by O. Kovras. New York, USA: Nova Science Publishers.

Super coherent states, boson-fermion realizations and representations of superalgebras

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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