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)

1 - 20 of 155 works

2024

Journal Article

An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras

Jones, Mitchell, Isaac, Phillip S. and Links, Jon (2024). An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras. Nuclear Physics B, 1008 116706, 116706. doi: 10.1016/j.nuclphysb.2024.116706

An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras

2024

Journal Article

Occupancy probabilities in superintegrable bosonic networks

Bennett, Lachlan, Foerster, Angela, Isaac, Phillip S. and Links, Jon (2024). Occupancy probabilities in superintegrable bosonic networks. Nuclear Physics B, 998 116406, 116406. doi: 10.1016/j.nuclphysb.2023.116406

Occupancy probabilities in superintegrable bosonic networks

2023

Journal Article

NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach

Bennett, Lachlan, Isaac, Phillip Simon and Links, Jon (2023). NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach. Journal of Physics A: Mathematical and Theoretical, 56 (50) 505202, 1-27. doi: 10.1088/1751-8121/ad0a71

NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach

2023

Journal Article

Supersymmetry and integrability for a class of XY central spin models

van Tonder, Jaco and Links, Jon (2023). Supersymmetry and integrability for a class of XY central spin models. Journal of Physics A: Mathematical and Theoretical, 56 (47) 47LT01, 1-12. doi: 10.1088/1751-8121/ad043a

Supersymmetry and integrability for a class of XY central spin models

2023

Journal Article

Controlling entanglement in a triple-well system of dipolar atoms

W., K. Wittmann, Ymai, L. H., Barros, B. H. C., Links, J. and Foerster, A. (2023). Controlling entanglement in a triple-well system of dipolar atoms. Physical Review A, 108 (3) 033313, 1-11. doi: 10.1103/physreva.108.033313

Controlling entanglement in a triple-well system of dipolar atoms

2022

Journal Article

Protocol designs for NOON states

Grün, Daniel S., Wittmann W., Karin, Ymai, Leandro H., Links, Jon and Foerster, Angela (2022). Protocol designs for NOON states. Communications Physics, 5 (1) 36. doi: 10.1038/s42005-022-00812-7

Protocol designs for NOON states

2022

Journal Article

Integrable atomtronic interferometry

Grün, D. S., Ymai, L. H., Wittmann, W. K., Tonel, A. P., Foerster, A. and Links, J. (2022). Integrable atomtronic interferometry. Physical Review Letters, 129 (2) 020401, 1-6. doi: 10.1103/physrevlett.129.020401

Integrable atomtronic interferometry

2021

Journal Article

The Yang-Baxter paradox

Links, Jon (2021). The Yang-Baxter paradox. Journal of Physics A: Mathematical and Theoretical, 54 (25) 254001, 254001. doi: 10.1088/1751-8121/abfe48

The Yang-Baxter paradox

2020

Journal Article

Separable and entangled states in the high-spin XX central spin model

Wu, Ning, Guan, Xi-Wen and Links, Jon (2020). Separable and entangled states in the high-spin XX central spin model. Physical Review B, 101 (15) 155145. doi: 10.1103/PhysRevB.101.155145

Separable and entangled states in the high-spin XX central spin model

2020

Journal Article

Entangled states of dipolar bosons generated in a triple-well potential

Tonel, Arlei P., Ymai, Leandro H., Wittmann, Karin, Foerster, Angela and Links, Jon (2020). Entangled states of dipolar bosons generated in a triple-well potential. SciPost Physics Core, 2 (1) 003. doi: 10.21468/scipostphyscore.2.1.003

Entangled states of dipolar bosons generated in a triple-well potential

2020

Journal Article

Ground-state energy of a Richardson-Gaudin integrable BCS model

Shen, Yibing, Isaac, Phillip and Links, Jon (2020). Ground-state energy of a Richardson-Gaudin integrable BCS model. SciPost Physics Core, 2 (1) 001. doi: 10.21468/scipostphyscore.2.1.001

Ground-state energy of a Richardson-Gaudin integrable BCS model

2018

Journal Article

Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz

Shen, Yibing, Isaac, Phillip S. and Links, Jon (2018). Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz. Nuclear Physics B, 937, 28-55. doi: 10.1016/j.nuclphysb.2018.08.015

Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz

2018

Journal Article

Control of tunneling in an atomtronic switching device

Wilsmann, Karin Wittmann, Ymai, Leandro H., Tonel, Arlei Prestes, Links, Jon and Foerster, Angela (2018). Control of tunneling in an atomtronic switching device. Communications Physics, 1 (1) 91, 91. doi: 10.1038/s42005-018-0089-1

Control of tunneling in an atomtronic switching device

2018

Journal Article

Extended Calogero models: a construction for exactly solvable kN-body systems

Chen, Zhe, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2018). Extended Calogero models: a construction for exactly solvable kN-body systems. Journal of Physics A: Mathematical and Theoretical, 51 (45) 455203, 455203. doi: 10.1088/1751-8121/aae4cc

Extended Calogero models: a construction for exactly solvable kN-body systems

2018

Journal Article

Energy-level crossings and number-parity effects in a bosonic tunneling model

Agboola, Davids, Isaac, Phillip Simon and Links, Jon (2018). Energy-level crossings and number-parity effects in a bosonic tunneling model. Journal of Physics B: Atomic, Molecular and Optical Physics, 51 (14) 145301, 145301. doi: 10.1088/1361-6455/aac6f2

Energy-level crossings and number-parity effects in a bosonic tunneling model

2018

Journal Article

Exact ground-state correlation functions of an atomic-molecular Bose-Einstein condensate model

Links, Jon and Shen, Yibing (2018). Exact ground-state correlation functions of an atomic-molecular Bose-Einstein condensate model. Journal of Physics B: Atomic, Molecular and Optical Physics, 51 (9) 095302, 095302. doi: 10.1088/1361-6455/aab9e5

Exact ground-state correlation functions of an atomic-molecular Bose-Einstein condensate model

2017

Journal Article

Completeness of the Bethe states for the rational, spin-1/2 Richardson-Gaudin system

Links, Jon (2017). Completeness of the Bethe states for the rational, spin-1/2 Richardson-Gaudin system. Scipost Physics, 3 (1) 007. doi: 10.21468/SciPostPhys.3.1.007

Completeness of the Bethe states for the rational, spin-1/2 Richardson-Gaudin system

2017

Journal Article

Quantum integrable multi-well tunneling models

Ymai, L. H., Tonel, A. P., Foerster, A. and Links, J. (2017). Quantum integrable multi-well tunneling models. Journal of Physics A , 50 (26) 264001, 264001. doi: 10.1088/1751-8121/aa7227

Quantum integrable multi-well tunneling models

2017

Journal Article

Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis

Rubeni, D., Links, J., Isaac, P. S. and Foerster, A. (2017). Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis. Physical Review A, 95 (4) 043607. doi: 10.1103/PhysRevA.95.043607

Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis

2017

Journal Article

Solution of the classical Yang–Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model

Links, Jon (2017). Solution of the classical Yang–Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model. Nuclear Physics B, 916, 117-131. doi: 10.1016/j.nuclphysb.2017.01.005

Solution of the classical Yang–Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model

Current funding

  • 2020 - 2024
    Quantum control designed from broken integrability
    ARC Discovery Projects
    Open grant

Past funding

  • 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

    Superintegrable systems with Dunkl operators, their symmetry algebras and invariant

    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

    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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