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)

61 - 80 of 155 works

2006

Journal Article

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation

Dancer, K. A., Isaac, P. S. and Links, J. (2006). Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation. Journal of Mathematical Physics, 47 (10) 103511, 103511-1-103511-18. doi: 10.1063/1.2359575

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation

2006

Journal Article

Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]

Dancer, K. A., Gould, M. D. and Links, J. (2006). Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]. Journal of Statistical Mechanics: Theory and Experiment, 2006 (6) P06011, P06011-1-P06011-19. doi: 10.1088/1742-5468/2006/06/P06011

Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]

2006

Journal Article

Bethe ansatz solutions of the Bose-Hubbard Dimer

Links, Jon and Hibberd , Katrina E. (2006). Bethe ansatz solutions of the Bose-Hubbard Dimer. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2 (95), 1-8. doi: 10.3842/SIGMA.2006.095

Bethe ansatz solutions of the Bose-Hubbard Dimer

2006

Journal Article

Bethe Ansatz Solutions of the Bose-Hubbard Dimer

Links, Jon and Hibberd, Katrina E. (2006). Bethe Ansatz Solutions of the Bose-Hubbard Dimer. Symmetry Integrability and Geometry-Methods and Applications, 2. doi: 10.3842/SIGMA.2006.095

Bethe Ansatz Solutions of the Bose-Hubbard Dimer

2006

Journal Article

Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras

Mehta, M., Dancer, K. A., Gould, M. D. and Links, J. R. (2006). Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras. Journal of Physics A: Mathematical and General, 39 (1), L17-L26. doi: 10.1088/0305-4470/39/1/L03

Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras

2006

Journal Article

Preface

Bouwknegt, Peter, Jarvis, Peter and Links, Jon R. (2006). Preface. Reports On Mathematical Physics, 57 (1), 1-2. doi: 10.1016/S0034-4877(06)00006-1

Preface

2006

Journal Article

A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons

Hibberd, K. E., Dunning, C. and Links, J. (2006). A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons. Nuclear Physics B, 748 (3), 458-472. doi: 10.1016/j.nuclphysb.2006.04.026

A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons

2006

Journal Article

Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates

Santos, G., Tonel, A., Foerster, A. and Links, J. R. (2006). Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates. Physical Review A, 73 (2) 023609, 023609. doi: 10.1103/PhysRevA.73.023609

Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates

2006

Journal Article

Teleportation via Multi-Qubit Channels

Links, J., Barjaktarevic, J. P., Milburn, G. J. and McKenzie, R. H. (2006). Teleportation via Multi-Qubit Channels. Quantum Information and Computation, 6 (7), 641-670. doi: 10.26421/qic6.7-7

Teleportation via Multi-Qubit Channels

2005

Journal Article

Eigenvalues of Casimir invariants for Uq[osp(m|n)]

Dancer, K. A., Gould, M. D. and Links, J. R. (2005). Eigenvalues of Casimir invariants for Uq[osp(m|n)]. Journal of Mathematical Physics, 46 (12) 123501, 123501-1-123501-20. doi: 10.1063/1.2137712

Eigenvalues of Casimir invariants for Uq[osp(m|n)]

2005

Conference Publication

Ribbon structure in symmetric pre-monoidal categories

Wagner, L., Links, J. and Isaac, P. (2005). Ribbon structure in symmetric pre-monoidal categories. XXV International Colloquium on Group Theoretical Methods in, Cocoyoc, Mexico, 2-6 August, 2004. Bristol, U.K.: Institute of Physics Publishing.

Ribbon structure in symmetric pre-monoidal categories

2005

Journal Article

Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates

Tonel, A. P., Links, J. and Foerster, A. (2005). Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates. Journal of Physics A - Mathematical and General, 38 (31), 6879-6891. doi: 10.1088/0305-4470/38/31/002

Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates

2005

Journal Article

Ground-State Entanglement of the BCS Model

Dunning, Clare, Links, Jon and Zhou, Huan-Qiang (2005). Ground-State Entanglement of the BCS Model. Physical Review Letters, 94 (22) 227002, 227002-1-227002-4. doi: 10.1103/PhysRevLett.94.227002

Ground-State Entanglement of the BCS Model

2005

Journal Article

Measurement-based teleportation along quantum spin chains

Barjaktarevic, J. P., McKenzie, R. H., Links, J. and Milburn, G. J. (2005). Measurement-based teleportation along quantum spin chains. Physical Review Letters, 95 (23) 230501, 230501. doi: 10.1103/PhysRevLett.95.230501

Measurement-based teleportation along quantum spin chains

2005

Conference Publication

The 1D Bose Gas with Weakly Repulsive Delta Interaction

Batchelor, M. T., Guan, X-W., Dunning, C. and Links, J. (2005). The 1D Bose Gas with Weakly Repulsive Delta Interaction. Statistical Physics of Quantum Systems, Sendai, Japan, 17 - 20 July 2004. Japan: The Physical Society of Japan. doi: 10.1143/jpsjs.74s.53

The 1D Bose Gas with Weakly Repulsive Delta Interaction

2005

Journal Article

The 1D Bose Gas with Weakly Repulsive Delta Interaction

Batchelor, M. T., Guan, X. W., Dunning, C. and Links, J. (2005). The 1D Bose Gas with Weakly Repulsive Delta Interaction. Journal of the Physical Society of Japan, 74

The 1D Bose Gas with Weakly Repulsive Delta Interaction

2005

Journal Article

Infinitely many two-variable generalisations of the Alexander-Conway polynomial

De Wit, David, Ishii, Atsushi and Links, Jon (2005). Infinitely many two-variable generalisations of the Alexander-Conway polynomial. Algebraic & Geometric Topology, 5, 405-418. doi: 10.2140/agt.2005.5.405

Infinitely many two-variable generalisations of the Alexander-Conway polynomial

2005

Journal Article

Quantum dynamics of a model for two Josephson-coupled Bose-Einstein condensates

Tonel, A.P., Links, J. and Foerster, A. (2005). Quantum dynamics of a model for two Josephson-coupled Bose-Einstein condensates. Journal of Physics A - Mathematical and General, 38 (6), 1235-1245. doi: 10.1088/0305-4470/38/6/004

Quantum dynamics of a model for two Josephson-coupled Bose-Einstein condensates

2004

Journal Article

Integrability of the Russian doll BCS model

Dunning, Clare T. and Links, Jon R. (2004). Integrability of the Russian doll BCS model. Nuclear Physics B, 702 (3), 481-494. doi: 10.1016/j.nuclphysb.2004.09.021

Integrability of the Russian doll BCS model

2004

Journal Article

Energy level statistics for models of coupled single-mode Bose-Einstein condensates

Dahmen, Silvio R., Links, Jon, McKenzie, Ross H. and Zhou, Huan-Qiang (2004). Energy level statistics for models of coupled single-mode Bose-Einstein condensates. Journal of Statistical Mechanics: Theory and Experiment, October 2004 (10) P10019, P10019-1-P10019-9. doi: 10.1088/1742-5468/2004/10/P10019

Energy level statistics for models of coupled single-mode Bose-Einstein condensates

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

    Representation theory for deformations of Lie algebras

    Principal Advisor

  • Master Philosophy

    Representation theory for deformations of Lie algebras

    Principal Advisor

  • 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

    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

  • Doctor Philosophy

    Algebraic aspects of lattice models

    Associate Advisor

    Other advisors: Professor Jorgen Rasmussen

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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