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)

41 - 60 of 155 works

2011

Journal Article

BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs

Dunning, Clare, Isaac, Phillip S., Links, Jon and Zhao, Shao-You (2011). BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs. Nuclear Physics B, 848 (2), 372-397. doi: 10.1016/j.nuclphysb.2011.03.001

BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs

2011

Journal Article

Exact solutions for a family of spin-boson systems

Lee, Yuan-Harng, Links, Jon and Zhang, Yao-Zhong (2011). Exact solutions for a family of spin-boson systems. Nonlinearity, 24 (7), 1975-1986. doi: 10.1088/0951-7715/24/7/004

Exact solutions for a family of spin-boson systems

2011

Journal Article

Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

Finch, P. E., Dancer, K. A., Isaac, P. S. and Links, J. (2011). Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras. Nuclear Physics Section B, 847 (2), 387-412. doi: 10.1016/j.nuclphysb.2011.01.034

Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras

2011

Journal Article

Ground-state phase diagram for a system of interacting, D(D-3) non-Abelian anyons

Finch, P. E., Frahm, H. and Links, J. (2011). Ground-state phase diagram for a system of interacting, D(D-3) non-Abelian anyons. Nuclear Physics B, 844 (1), 129-145. doi: 10.1016/j.nuclphysb.2010.11.003

Ground-state phase diagram for a system of interacting, D(D-3) non-Abelian anyons

2010

Journal Article

Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry

Campbell, C. W., Dancer, K. A., Isaac, P. S. and Links, J. (2010). Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry. Nuclear Physics, Section B, 836 (3), 171-185. doi: 10.1016/j.nuclphysb.2010.04.014

Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry

2010

Journal Article

Exact solution of the p + ip pairing Hamiltonian and a hierarchy of integrable models

Dunning, C, Ibanez, M, Links, J, Sierra, G and Zhao, SY (2010). Exact solution of the p + ip pairing Hamiltonian and a hierarchy of integrable models. Journal of Statistical Mechanics: Theory and Experiment, 2010 (8) P08025, P08025-1-P08025-62. doi: 10.1088/1742-5468/2010/08/P08025

Exact solution of the p + ip pairing Hamiltonian and a hierarchy of integrable models

2010

Journal Article

Quantum phase transitions in an interacting atom-molecule boson model

Santos, G., Foerster, A., Links, J., Mattei, E. and Dahmen, S. R. (2010). Quantum phase transitions in an interacting atom-molecule boson model. Physical Review A - Atomic, Molecular, and Optical Physics, 81 (6) 063621, 1-6. doi: 10.1103/PhysRevA.81.063621

Quantum phase transitions in an interacting atom-molecule boson model

2009

Journal Article

Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry

Dancer, K. A., Finch, P. E., Isaac, P. S. and Links, J. (2009). Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry. Nuclear Physics B, 812 (3), 456-469. doi: 10.1016/j.nuclphysb.2008.12.002

Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry

2009

Journal Article

Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry

Ibanez, Miguel, Links, Jon, Sierra, German and Zhao, Shao-you (2009). Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry. Physical Review B, 79 (18) 180501, 180501.1-180501.4. doi: 10.1103/PhysRevB.79.180501

Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry

2009

Journal Article

A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer

Links, Jon and Zhao, Shao-You (2009). A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer. Journal of Statistical Mechanics: Theory and Experiment, 2009 (3) P03013, 1-16. doi: 10.1088/1742-5468/2009/03/P03013

A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer

2009

Journal Article

Universal spectral parameter-dependent Lax operators for the Drinfeld double of the dihedral group D-3

Dancer, K. A. and Links, J. (2009). Universal spectral parameter-dependent Lax operators for the Drinfeld double of the dihedral group D-3. Journal of Physics A - Mathematical and Theoretical, 42 (4) 042002, 134-7. doi: 10.1088/1751-8113/42/4/042002

Universal spectral parameter-dependent Lax operators for the Drinfeld double of the dihedral group D-3

2008

Journal Article

The quantum inverse scattering method with anyonic grading

Batchelor, M. T., Foerster, A., Guan, X.-W., Links, J. R. and Zhou, H.-Q. (2008). The quantum inverse scattering method with anyonic grading. Journal of Physics A: Mathematical and Theoretical, 41 (46) 465201, 465201-1-465201-13. doi: 10.1088/1751-8113/41/46/465201

The quantum inverse scattering method with anyonic grading

2008

Journal Article

Some spectral equivalences between Schrödinger operators

Dunning, C., Hibberd, K. E. and Links, J. R. (2008). Some spectral equivalences between Schrödinger operators. Journal of Physics A: Mathematical and Theoretical, 41 (31) 315211, 315211-1-315211-12. doi: 10.1088/1751-8113/41/31/315211

Some spectral equivalences between Schrödinger operators

2007

Journal Article

Where the Links-Gould invariant first fails to distinguish nonmutant prime knots

De Wit, David and Links, Jon (2007). Where the Links-Gould invariant first fails to distinguish nonmutant prime knots. Journal of Know Theory and Its Ramifications, 16 (8), 1021-1041. doi: 10.1142/S0218216507005658

Where the Links-Gould invariant first fails to distinguish nonmutant prime knots

2007

Journal Article

An algebraic approach to symmetric pre-monoidal statistics

Isaac, P. S., Joyce, W. P. and Links, J. (2007). An algebraic approach to symmetric pre-monoidal statistics. Journal of Algebra and Its Applications, 6 (1), 49-69. doi: 10.1142/S0219498807002065

An algebraic approach to symmetric pre-monoidal statistics

2007

Journal Article

Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model

Duncan, Melissa, Foerster, Angela, Links, Jon, Mattei, Eduardo, Oelkers, Norman and Tonel, Ariel Prestes (2007). Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model. Nuclear Physics B, 767 (3), 227-249. doi: 10.1016/j.nuclphysb.2006.12.015

Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model

2007

Journal Article

Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]

Dancer, K. A., Gould, M. D. and Links, J. (2007). Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]. Algebras and Representation Theory, 10 (6), 593-617. doi: 10.1007/s10468-007-9049-2

Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]

2007

Journal Article

Ground-state properties of the attractive one-dimensional Bose-Hubbard model

Oelkers, N. and Links, J. (2007). Ground-state properties of the attractive one-dimensional Bose-Hubbard model. Physical Review B, 75 (11) 115119, 115119-1-115119-15. doi: 10.1103/PhysRevB.75.115119

Ground-state properties of the attractive one-dimensional Bose-Hubbard model

2006

Journal Article

On quantum phase crossovers in finite systems

Dunning, Clare, Hibberd, Katrina E. and Links, Jon (2006). On quantum phase crossovers in finite systems. Journal of Statistical Mechanics: Theory and Experiment, 2006 (11) P11005, 1-11. doi: 10.1088/1742-5468/2006/11/P11005

On quantum phase crossovers in finite systems

2006

Conference Publication

The two-site Bose-Hubbard model

Links, Jon, Foerster, Angela, Tonel, Ariel Prestes and Santos, Gilberto (2006). The two-site Bose-Hubbard model. Basel, Switzerland: Birkhauser Verlag Ag. doi: 10.1007/s00023-006-0295-3

The two-site Bose-Hubbard 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

  • 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

    Integrable Bosonic Networks

    Principal Advisor

    Other advisors: Dr Phillip Isaac

  • 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

  • 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

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

Need help?

For help with finding experts, story ideas and media enquiries, contact our Media team:

communications@uq.edu.au