Associate Professor Jon Links
Associate Professor

Jon Links

Email: 
Phone: 
+61 7 336 52400

Background

Dr Jon Links's research interests are in: Lie Algebras, Quantised Algebras, Knot Theory, Exactly Solvable Models, Algebraic Bethe Ansatz, Models of Correlated Electrons and Models of Cold Atoms.

He received his PhD from the University of Queensland in 1993. His current research projects are in the field of designs for and control of integrable quantum devices.

Availability

Associate Professor Jon Links is:
Not available for supervision
Media expert

Fields of research

Mathematical physics Pure mathematics

Qualifications

  • Bachelor (Honours) of Science (Advanced), The University of Queensland
  • Bachelor (Honours) of Science (Advanced), Australian National University
  • Doctor of Philosophy, The University of Queensland

Research interests

  • Quantum control designed from broken integrability

    This Australian Research Council funded project aims to open new avenues in quantum device engineering design. This will be achieved through the use of advanced mathematical methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The expert team of Investigators will capitalise on their recent achievements in this field, which includes a first example of a quantum switch designed through broken integrability. The expected outcomes will encompass novel applications of abstract mathematical physics towards the concrete control of quantum mechanical architectures. These outcomes will promote new opportunities for the construction of atomtronic devices, which are rising as a foundation for next-generation quantum technologies.

Research impacts

My current research aims to use the mathematical theory of quantum integrability to aid in the design of new quantum devices.

Search Professor Jon Links’s works on UQ eSpace

155 works between 1992 and 2024
All (155) Journal Article (138) Book Chapter (3) Conference Publication (13) Other Outputs (1)

81 - 100 of 155 works

2003

Journal Article

Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins

Links, Jon, Zhou, Huan-Qiang, McKenzie, Ross H. and Gould, Mark D. (2003). Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins. Journal of Physics A: Mathematical and General, 36 (19), R63-R104. doi: 10.1088/0305-4470/36/19/201

Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins

2003

Book Chapter

Exact solvability in contemporary physics

Foerster, A., Links, J. R. and Zhou, H. (2003). Exact solvability in contemporary physics. Classical and Quantum Nonlinear Integrable Systems. (pp. 208-233) edited by A. Kundu. Bristol: Taylor & Francis Group.

Exact solvability in contemporary physics

2003

Journal Article

Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]

Links, JR and De Witt, D (2003). Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]. Journal of Knot Theory And Its Ramifications, 12 (6), 739-749. doi: 10.1142/S021821650300272X

Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]

2003

Conference Publication

Integrability and exact solution of an electronic model with long range interactions

Hibberd, KE and Links, JR (2003). Integrability and exact solution of an electronic model with long range interactions. Bristol: Iop Publishing Ltd.

Integrability and exact solution of an electronic model with long range interactions

2003

Journal Article

Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme

Zhou, H. Q., Links, J., Gould, M. D. and McKenzie, R. H. (2003). Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme. Journal of Mathematical Physics, 44 (10), 4690-4701. doi: 10.1063/1.1605495

Solvable models of Bose-Einstein condensates: A new algebraic Bethe ansatz scheme

2003

Journal Article

Integrable impurity spin ladder systems

Tonel, A.P., Foerster, A., Guan, X. W. and Links, J. (2003). Integrable impurity spin ladder systems. Journal of Physics A - Mathematical and General, 36 (2), 359-370. doi: 10.1088/0305-4470/36/2/305

Integrable impurity spin ladder systems

2003

Conference Publication

Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

Zhou, H. Q., Links, J. and McKenzie, R. H. (2003). Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate. Singapore: World Scientific Publishing Company. doi: 10.1142/S0217979203023203

Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

2003

Journal Article

Integrable generalized spin ladder models based on the SU(1|3) and SU(3|1) algebras

Tonel, A. P., Foerster, A., Hibberd, K. and Links, J. (2003). Integrable generalized spin ladder models based on the SU(1|3) and SU(3|1) algebras. Journal of Mathematical Physics, 44 (12), 6032-6039. doi: 10.1063/1.1627973

Integrable generalized spin ladder models based on the SU(1|3) and SU(3|1) algebras

2003

Conference Publication

Ladder operators for integrable one-dimensional lattice models

Takizawa, M. C. and Links, J. (2003). Ladder operators for integrable one-dimensional lattice models. 24th International Colloquium on Group Theoretical Methods in Physics (ICGTMP-2002), Paris, France, 15-20 July 2002. Bristol, UK: Institute of Physics.

Ladder operators for integrable one-dimensional lattice models

2003

Journal Article

Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates

Zhou, H., Links, J. R., McKenzie, R. H. and Guan, X-W. (2003). Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates. Journal of Physics A: Mathematical and General, 36 (7), L113-L119. doi: 10.1088/0305-4470/36/7/104

Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates

2002

Journal Article

Integrability and exact spectrum of a pairing model for nucleons

Links, J. R., Zhou, H., Gould, M. D. and McKenzie, R. H. (2002). Integrability and exact spectrum of a pairing model for nucleons. Journal of Physics A: Mathematical and General, 35 (2) 317, 6459-6469. doi: 10.1088/0305-4470/35/30/317

Integrability and exact spectrum of a pairing model for nucleons

2002

Journal Article

Integrability and exact solution for coupled BCS systems associated with the su(4) Lie algebra

Guan, X. W., Foerster, A., Links, J. R. and Zhou, H. Q. (2002). Integrability and exact solution for coupled BCS systems associated with the su(4) Lie algebra. Nuclear Physics B, 642 (3), 501-514. doi: 10.1016/S0550-3213(02)00776-9

Integrability and exact solution for coupled BCS systems associated with the su(4) Lie algebra

2002

Journal Article

Exact form factors for the Josephson tunneling current and relative particle number fluctuations in a model of two coupled Bose-Einstein condensates

Links, J. and Zhou, H. Q. (2002). Exact form factors for the Josephson tunneling current and relative particle number fluctuations in a model of two coupled Bose-Einstein condensates. Letters In Mathematical Physics, 60 (3), 275-282. doi: 10.1023/A:1016239508822

Exact form factors for the Josephson tunneling current and relative particle number fluctuations in a model of two coupled Bose-Einstein condensates

2002

Journal Article

Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

Links, J., Zhou, H. Q., McKenzie, R. H. and Gould, M. D. (2002). Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains. International Journal of Modern Physics B, 16 (23), 3429-3438. doi: 10.1142/S0217979202011949

Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

2002

Journal Article

Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz

Zhou, Huan-Qiang, Links, Jon, McKenzie, Ross H. and Gould, Mark D. (2002). Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz. Physical Review B, 65 (6) 060502, 060502-1-060502-4. doi: 10.1103/PhysRevB.65.060502

Superconducting Correlations in Metallic Nanoparticles: Exact Solution of the BCS Model by the Algebraic Bethe Ansatz

2002

Journal Article

Integrable variant of the one-dimensional Hubbard model

Guan, X. W., Foerster, A., Links, J. R., Zhou, H., Tonel, A. P. and McKenzie, R. H. (2002). Integrable variant of the one-dimensional Hubbard model. Journal of Mathematical Physics, 43 (7), 3445-3457. doi: 10.1063/1.1481956

Integrable variant of the one-dimensional Hubbard model

2002

Journal Article

Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models

Ge, X., Gould, M. D., Links, J. R. and Zhou, H. (2002). Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models. Journal of Physics A: Mathematical and General, 35 (29) 403, 6197-6201. doi: 10.1088/0305-4470/35/29/403

Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models

2002

Journal Article

Integrable coupling in a model for Josephson tunneling between non-identical BCS systems

Links, J. R. and Hibberd, K. E. (2002). Integrable coupling in a model for Josephson tunneling between non-identical BCS systems. International Journal of Modern Physics B, 16 (14 & 15), 2009-2015. doi: 10.1142/S0217979202011743

Integrable coupling in a model for Josephson tunneling between non-identical BCS systems

2002

Conference Publication

Exact results for BCS systems

Guan, Xi-Wen, Foerster, Angela, Links, Jon and Zhou, Huan-Qiang (2002). Exact results for BCS systems. 2002 Workshop on Integrable Theories, Solitons and Duality, UNESP 2002, Sao Paulo, , July 1, 2002-July 6, 2002. Sissa Medialab Srl.

Exact results for BCS systems

2001

Journal Article

Integrable anisotropic spin-ladder model

Tonel, A. P., Foerster, A., Links, J. and Malvezzi, A. L. (2001). Integrable anisotropic spin-ladder model. Physical Review B, 64 (5) 054420, 054420-1-054420-5. doi: 10.1103/PhysRevB.64.054420

Integrable anisotropic spin-ladder model

Past funding

  • 2020 - 2024
    Quantum control designed from broken integrability
    ARC Discovery Projects
    Open grant
  • 2015 - 2019
    Unified theory of Richardson-Gaudin integrability
    ARC Discovery Projects
    Open grant
  • 2011 - 2013
    Topological properties of exactly-solvable, two-dimensional quantum systems
    ARC Discovery Projects
    Open grant
  • 2010
    International Union of Pure and Applied Physics XXIV Conference on Statistical Physics
    Ian Potter Foundation
    Open grant
  • 2008
    Mathematical physics of mesoscopic systems
    UQ External Support Enabling Grant
    Open grant
  • 2006 - 2008
    The Mathematical Analysis of Ultracold Quantum Gases (ARC Discovery Grant administered by Australian National University)
    Australian National University
    Open grant
  • 2005 - 2007
    Integrable quantum systems: mathematical foundations for developing quantum science
    ARC Discovery Projects
    Open grant
  • 2004
    Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
    ARC Seed Funding for Research Networks
    Open grant
  • 2003 - 2005
    Quantum Phase Transitions, coherence and Dynamics of Coupled Bose-Einstein Condensates
    UQ Foundation Research Excellence Awards - DVC(R) Funding
    Open grant
  • 2003 - 2005
    Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
    ARC Discovery Projects
    Open grant
  • 2001
    Research in the field of integrable spin ladder systems
    UQ Travel Grants Scheme
    Open grant
  • 2000 - 2005
    Representations of Quantum Superalgebras: Theory and Applications
    ARC Australian Research Fellowship/QEII F/ship
    Open grant
  • 1999
    Heterogeneous analogues of the supersymmetric U model of correlated electrons
    ARC Australian Research Council (Small grants)
    Open grant
  • 1997
    Application of two-variable link polynomials in Physics
    University of Queensland New Staff Research Grant
    Open grant

Availability

Associate Professor Jon Links is:
Not available for supervision

Supervision history

Current supervision

  • Doctor Philosophy

    Integrable Bosonic Networks

    Principal Advisor

    Other advisors: Dr Phillip Isaac

  • Master Philosophy

    Integrable structure of central spin models and applications

    Principal Advisor

    Other advisors: Dr Phillip Isaac

  • Doctor Philosophy

    Integrable Bosonic Networks

    Principal Advisor

    Other advisors: Dr Phillip Isaac

  • Doctor Philosophy

    Superintegrable systems with Dunkl operators, their symmetry algebras and invariant

    Principal Advisor

  • Doctor Philosophy

    Integrable Bosonic Networks

    Principal Advisor

    Other advisors: Dr Phillip Isaac

  • Master Philosophy

    Representation theory for deformations of Lie algebras

    Principal Advisor

  • Master Philosophy

    Representation theory for deformations of Lie algebras

    Principal Advisor

  • Doctor Philosophy

    Algebraic aspects of lattice models

    Associate Advisor

    Other advisors: Professor Jorgen Rasmussen

  • Doctor Philosophy

    Solvable supersymmetric field theories, string theory and AdS/CFT

    Associate Advisor

    Other advisors: Associate Professor Yao-zhong Zhang, Dr Gabriele Tartaglino Mazzucchelli

  • Doctor Philosophy

    Algebraic aspects of lattice models

    Associate Advisor

    Other advisors: Professor Jorgen Rasmussen

  • Doctor Philosophy

    Algebraic aspects of lattice models

    Associate Advisor

    Other advisors: Professor Jorgen Rasmussen

  • Master Philosophy

    On solutions to the classical Yang-Baxter equation

    Associate Advisor

    Other advisors: Dr Phillip Isaac

Completed supervision

Enquiries

Contact Associate Professor Jon Links directly for media enquiries about:

  • Algebraic methods
  • Hopf algebras
  • Mathematical physics
  • Physics - mathematical
  • Quantum many-body systems

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