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)

121 - 140 of 155 works

1999

Journal Article

Integrability of a t - J model with impurities

Links, J. R. and Foerster, A. (1999). Integrability of a t - J model with impurities. Journal of Physics A-mathematical And General, 32 (1), 147-157. doi: 10.1088/0305-4470/32/1/016

Integrability of a t - J model with impurities

1999

Journal Article

Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

Zhou, H.Q., Ge, X.Y., Links, J and Gould, M.D. (1999). Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model. Nuclear Physics B, 546 (3), 779-799. doi: 10.1016/S0550-3213(99)00085-1

Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

1998

Journal Article

Integrable multiparametric quantum spin chains

Foerster, A, Links, J and Roditi, I (1998). Integrable multiparametric quantum spin chains. Journal of Physics A-mathematical And General, 31 (2), 687-695. doi: 10.1088/0305-4470/31/2/024

Integrable multiparametric quantum spin chains

1998

Journal Article

Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons

Links, J, Hibberd, K, Gould, M and Foerster, A (1998). Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons. European Physical Journal B, 5 (3), 309-312. doi: 10.1007/s100510050447

Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons

1998

Conference Publication

U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model

Hibberd, KE, Gould, MD and Links, JR (1998). U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model. 12th International Colloquium on Group Theoretical Methods in Physics (Group 22), Hobart Australia, Jul 13-17, 1998. CAMBRIDGE: INTERNATIONAL PRESS INC BOSTON.

U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model

1997

Journal Article

Anisotropic correlated electron model associated with the Temperley-Lieb algebra

Foerster, A, Links, J and Roditi, I (1997). Anisotropic correlated electron model associated with the Temperley-Lieb algebra. Modern Physics Letters A, 12 (14), 1035-1040. doi: 10.1142/S0217732397001059

Anisotropic correlated electron model associated with the Temperley-Lieb algebra

1997

Journal Article

Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))

Gould, MD and Links, JR (1997). Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n)). Journal of Physics A-mathematical And General, 30 (5), 1613-1627. doi: 10.1088/0305-4470/30/5/024

Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))

1997

Journal Article

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997). Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model. Journal of Physics A-mathematical And General, 30 (12), 4313-4325. doi: 10.1088/0305-4470/30/12/018

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

1997

Conference Publication

The supersymmetric U model and Bethe ansatz equations

Hibberd, KE, Links, JR and Gould, MD (1997). The supersymmetric U model and Bethe ansatz equations. XXI International Colloquium on Group Theoretical Methods in Physics - Group 21, Goslar Germany, Jul 15-20, 1996. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD.

The supersymmetric U model and Bethe ansatz equations

1997

Journal Article

On the construction of integrable closed chains with quantum supersymmetry

Links, J and Foerster, A (1997). On the construction of integrable closed chains with quantum supersymmetry. Journal of Physics A-mathematical And General, 30 (7), 2483-2487. doi: 10.1088/0305-4470/30/7/026

On the construction of integrable closed chains with quantum supersymmetry

1996

Journal Article

Integrable systems on open chains with quantum supersymmetry

Links, JR and Gould, MD (1996). Integrable systems on open chains with quantum supersymmetry. International Journal of Modern Physics B, 10 (25), 3461-3480. doi: 10.1142/S0217979296001859

Integrable systems on open chains with quantum supersymmetry

1996

Journal Article

General eigenvalue formula for Casimir invariants of type I quantum superalgebras

Gould, MD and Links, JR (1996). General eigenvalue formula for Casimir invariants of type I quantum superalgebras. Journal of Mathematical Physics, 37 (5), 2426-2456. doi: 10.1063/1.531519

General eigenvalue formula for Casimir invariants of type I quantum superalgebras

1996

Journal Article

Eigenvalues of casimir invariants for type I quantum superalgebras

Gould, MD, Links, JR and Zhang, YZ (1996). Eigenvalues of casimir invariants for type I quantum superalgebras. Letters in Mathematical Physics, 36 (4), 415-425. doi: 10.1007/BF00714406

Eigenvalues of casimir invariants for type I quantum superalgebras

1996

Journal Article

Integrable electron model with correlated hopping and quantum supersymmetry

Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4

Integrable electron model with correlated hopping and quantum supersymmetry

1996

Journal Article

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

Gould, MD, Links, JR and Zhang, YZ (1996). Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials. Journal of Mathematical Physics, 37 (2), 987-1003. doi: 10.1063/1.531422

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

1996

Journal Article

Temperley-Lieb algebra and a new integrable electronic model

Links, J (1996). Temperley-Lieb algebra and a new integrable electronic model. Journal of Physics A-Mathematical and General, 29 (4), L69-L73. doi: 10.1088/0305-4470/29/4/002

Temperley-Lieb algebra and a new integrable electronic model

1996

Journal Article

Algebraic Bethe ansatz for the anisotropic supersymmetric U model

Hibberd, KE, Gould, MD and Links, JR (1996). Algebraic Bethe ansatz for the anisotropic supersymmetric U model. Journal of Physics A-mathematical And General, 29 (24), 8053-8065. doi: 10.1088/0305-4470/29/24/028

Algebraic Bethe ansatz for the anisotropic supersymmetric U model

1996

Journal Article

Algebraic Bethe ansatz for the supersymmetric U model

Hibberd, K. E., Gould, M. D. and Links, J. R. (1996). Algebraic Bethe ansatz for the supersymmetric U model. Physical Review B: Condensed Matter and Materials Physics, 54 (12), 8430-8437. doi: 10.1103/PhysRevB.54.8430

Algebraic Bethe ansatz for the supersymmetric U model

1996

Journal Article

A q-superdimension formula for irreps of type I quantum superalgebras

Links, JR and Gould, MD (1996). A q-superdimension formula for irreps of type I quantum superalgebras. Journal of Mathematical Physics, 37 (1), 484-492. doi: 10.1063/1.531403

A q-superdimension formula for irreps of type I quantum superalgebras

1995

Journal Article

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N)). Journal of Physics A-Mathematical and General, 28 (21), 6203-6210. doi: 10.1088/0305-4470/28/21/023

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

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

  • 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

  • Master Philosophy

    Integrable structure of central spin models and applications

    Principal Advisor

    Other advisors: Dr Phillip Isaac

  • 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

  • Doctor Philosophy

    Solvable supersymmetric field theories, string theory and AdS/CFT

    Associate Advisor

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

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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