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)

141 - 155 of 155 works

1995

Journal Article

On Type-I Quantum Affine Superalgebras

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). On Type-I Quantum Affine Superalgebras. International Journal of Modern Physics a, 10 (23), 3259-3281. doi: 10.1142/S0217751X95001571

On Type-I Quantum Affine Superalgebras

1995

Journal Article

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

Bracken, AJ, Gould, MD, Links, JR and Zhang, YZ (1995). New Supersymmetric and Exactly Solvable Model of Correlated Electrons. Physical Review Letters, 74 (14), 2768-2771. doi: 10.1103/PhysRevLett.74.2768

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

1995

Journal Article

Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N))

Links, JR and Gould, MD (1995). Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N)). Journal of Mathematical Physics, 36 (1), 531-545. doi: 10.1063/1.531321

Classification of Unitary and Grade Star Irreps for U-Q(Osp(2-Vertical-Bar-2N))

1994

Journal Article

Induced Module Construction for Highest-Weight Representations of U(Q)(Gl(N)) At Roots of Unity

Links, JR and Zhang, RB (1994). Induced Module Construction for Highest-Weight Representations of U(Q)(Gl(N)) At Roots of Unity. Journal of Physics A-Mathematical and General, 27 (22) 003, L861-L869. doi: 10.1088/0305-4470/27/22/003

Induced Module Construction for Highest-Weight Representations of U(Q)(Gl(N)) At Roots of Unity

1994

Journal Article

Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups

Links, JR, Scheunert, M and Gould, MD (1994). Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups. Letters in Mathematical Physics, 32 (3), 231-240. doi: 10.1007/BF00750665

Diagonalization of the Braid Generator On Unitary Irreps of Quantum Supergroups

1994

Journal Article

Invariants for Quantum Supergroups and Some Applications

Links, JR (1994). Invariants for Quantum Supergroups and Some Applications. Bulletin of the Australian Mathematical Society, 49 (2), 347-348. doi: 10.1017/S0004972700016415

Invariants for Quantum Supergroups and Some Applications

1994

Journal Article

Multiparameter Link Invariants From Quantum Supergroups

Links, JR and Zhang, RB (1994). Multiparameter Link Invariants From Quantum Supergroups. Journal of Mathematical Physics, 35 (3), 1377-1386. doi: 10.1063/1.530595

Multiparameter Link Invariants From Quantum Supergroups

1993

Journal Article

Eigenvalues of Casimir Invariants of Uq(Gl(M/n))

Links, JR and Zhang, RB (1993). Eigenvalues of Casimir Invariants of Uq(Gl(M/n)). Journal of Mathematical Physics, 34 (12), 6016-6024. doi: 10.1063/1.530246

Eigenvalues of Casimir Invariants of Uq(Gl(M/n))

1993

Journal Article

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

Links, JR, Gould, MD and Zhang, RB (1993). Quantum Supergroups, Link Polynomials and Representation of the Braid Generator. Reviews in Mathematical Physics, 5 (2), 345-361. doi: 10.1142/S0129055X93000097

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

1993

Journal Article

Raising and lowering operators for Uq(gl(n))

Links, J. and Gould, M. D. (1993). Raising and lowering operators for Uq(gl(n)). Journal of Mathematical Physics, 34 (4), 1577-1586. doi: 10.1063/1.530175

Raising and lowering operators for Uq(gl(n))

1993

Journal Article

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

Links, JR, Gould, MD and Tsohantjis, I (1993). Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]. Letters in Mathematical Physics, 27 (1), 51-58. doi: 10.1007/BF00739589

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

1993

Other Outputs

Invariants for quantum supergroups and some applications

Links, Jon Robert (1993). Invariants for quantum supergroups and some applications. PhD Thesis, School of Physical Sciences, The University of Queensland. doi: 10.14264/uql.2015.547

Invariants for quantum supergroups and some applications

1992

Journal Article

2 Variable Link Polynomials From Quantum Supergroups

Links, JR and Gould, MD (1992). 2 Variable Link Polynomials From Quantum Supergroups. Letters in Mathematical Physics, 26 (3), 187-198. doi: 10.1007/BF00420752

2 Variable Link Polynomials From Quantum Supergroups

1992

Journal Article

Matrix elements and Wigner coefficients for Uq[gl(n)]

Gould, M. D., Links, J. and Bracken, A. J. (1992). Matrix elements and Wigner coefficients for Uq[gl(n)]. Journal of Mathematical Physics, 33 (3), 1008-1022. doi: 10.1063/1.529986

Matrix elements and Wigner coefficients for Uq[gl(n)]

1992

Journal Article

Casimir invariants for Hopf algebras

Links, J. R. and Gould, M. D. (1992). Casimir invariants for Hopf algebras. Reports on Mathematical Physics, 31 (1), 91-111. doi: 10.1016/0034-4877(92)90007-N

Casimir invariants for Hopf algebras

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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