Integrability in Low­‐Dimensional Quantum Systems

Paul Pearce

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  •  26 Jun 2017 - 21 Jul 2017
     8:00 am - 5:00 pm


  • Murray Batchelor (Australian National University)
  • Patrick Dorey* (Durham University, UK)
  • Clare Dunning* (Kent University, UK)
  • Giuseppe Mussardo (SISSA, Trieste, Italy) not participating
  • Paul Pearce (University of Melbourne)
  • Chaiho Rim¶ (Sogang University, Seoul, Korea)


  • AdS/CFT
  • Bethe Ansatz and quantum spin chains
  • Bulk and boundary CFT and QFT
  • Logarithmic CFT
  • Integrability in models of matter-light interaction
  • ODE/IM correspondence and its massive invariants
  • Quantum entanglement and quantum quenches
  • Random matrix approach to CFT and integrability

Invited Speakers:

  • Changrim Ahn¶ (Ewha, Seoul, Korea)
  • Zoltan Bajnok* (Wigner, Hungary)
  • Jean-Emile Bourgine (KIAS, Seoul, Korea)
  • Daniel Braak§ (Augsburg, Germany)
  • Junpeng Cao¶ (CAS, Beijing, China)
  • Sang Kwan Choi¶ (Sichuan University, China)
  • Ed Corrigan* (York, UK)
  • György Fehér (Budapest, Hungary)
  • Angela Foerster* (Rio Grande do Sul, Brazil)
  • Holger Frahm* (Hannover, Germany)
  • Azat Gainutdinov (Tours, France)
  • Frank Göhmann (Wuppertal, Germany)
  • Xiwen Guan¶ (CAS, Wuhan, China)
  • Jesper Jacobsen (ENS, Paris, France)
  • Shashank Kanade (Alberta, Canada)
  • Andreas Klümper* (Wuppertal, Germany)
  • Karol Kozlowski (Lyon, France)
  • Atsuo Kuniba¶ (Tokyo, Japan)
  • Masahide Manabe^ (Warsaw, Poland)
  • Chihiro Matsui¶ (Tokyo, Japan)
  • Yutaka Matsuo¶ (Tokyo, Japan)
  • Jianin Mei (Dalian, China)
  • Alexi Morin-Duchesne* (Louvain, Belgium)
  • Rafael Nepomechie* (Miami, USA)
  • Ovidiu Patu (Bucharest, Romania)
  • Francesco Ravanini (Bologna, Italy)
  • Yvan Saint-Aubin (Montreal, Canada)
  • Kareljan Schoutens* (Amsterdam, Netherlands)
  • Junji Suzuki¶ (Shizuoka, Japan)
  • Gabor Takacs (Budapest, Hungary)
  • Masato Wakayama¶§ (Kyushu, Japan)
  • Yupeng Wang¶ (CAS, Beijing, China)
  • Waltraut Wustmann (Maryland, USA)
  • Wen-Li Yang¶ (Xian, China)
  • Hong Zhang (ITP, Beijing, China)
  • Huan-Xiang Zhou (Chongqing, China)
  • Rui-Dong Zhu (Tokyo, Japan)

* AMSI/AustMS Keynote Speaker, ¶ Partially supported by APCTP, ^Supported by Korean NRF Grant, §Supported by ANU Grant

Australian Speakers/Participants:

  • Zeying Chen (Melbourne University)
  • Jan de Gier (Melbourne University)
  • Omar Foda (Melbourne University)
  • Alexandr Garbali (Melbourne University)
  • Phil Isaac (University of Queensland)
  • Kazuya Kawasetsu (Melbourne University)
  • Sergii Koval (Australian National University)
  • Jon Links (University of Queensland)
  • Tianshu Liu (Melbourne University)
  • Vladimir Mangazeev (Australian National University)
  • Thomas Quella (Melbourne University)
  • Jorgen Rasmussen (University of Queensland)
  • David Ridout (Melbourne University)
  • Boris Runov (Australian National University)
  • William Stewart (Melbourne University)
  • Michael Wheeler (Melbourne University)
  • Paul Zinn-­Justin (Melbourne University)

Program Details and Materials:

  • The arrival day in Creswick is Monday 26 June. There are no scheduled seminars on this day. If your flight arrives on Sunday 25 June (or earlier), it is recommended that you stay at a hotel near the airport and catch the Airport Shuttle to Ballarat on Monday 26 June.
  • Below is the draft Program Structure. Introductory lectures are 90 minutes, talks in Week 3 (including AMSI/AustMS speakers) are 60 minutes, all other talks are 45 minutes. These times include time for questions. Please click to enlarge.


  • In Creswick in July, the average temperatures are 10 degrees Celsius (maximum) and 2 degrees Celsius (minimum) with around 13 days of rain (≥1 millimeter) and a total average monthly rainfall of 79 millimeters. So bring warm, waterproof clothing!

(Please click on the name for the full presentation pdf.)
Ahn – NLIE of Sausage Model
Bajnok – Ads/CFT Correspondence From an Integrable Point of View
Bajnok – Finite Volume Diagonal Form Factors and AdS/CFT
Batchelor – The Mixed Ferro-Antiferromagnetic 3-state Quantum Potts Chain, Quantum Chiral Clock Model and Free Parafermions
Braak – Integrable and Non-Integrable Models in Quantum Optics
Cao – Exact Solution of High Spin Heisenberg Model with Generic Integrable Boundaries
Choi – Combinatorics and Matrix Model on RNA Secondary Structures
Corrigan – Aspects of Defects and Integrability
De Gier –  Stochastic Duality and Quantum Knizhnik-Zamolodchikov
Dorey – Breaking Integrability at the Boundary (and in the Bulk)
Dunning – An Introduction to the IM/ODE Correspondence
Feher – Mapping Between Integrable Supersymmetric Chains
Foerster – Integrability in Ultracold Physics
Frahm – Continuum Limit of a Staggered Superspin Chain
Gainutdinov – On Correspondence Between Boundary and Bulk Lattice Models
Garbali – Uq(A n (1) ) Zero Range Process and Symmetric Polynomials
Guan – Fermi Liquids and Correlations in 1D Attractive Hubbard Model
Isaac – Casimir Operators fo Non-Semisimple Lie Algebras
Jacobsen – Fusion in the Affine Temperley-Lieb Algebra
Klümper – The Anderson Impurity Model as a Derivative of the Hubbard Model
Kozlowski – On Singularities of Dynamic Response Functions in the Massless Regime of the XXZ Chain
Kuniba – Density and Current Profiles for Uq(A(1)2)  Zero Range Process
Links – Completeness of the Bethe Ansatz Solution for the Rational, sl(2) Richardson-Gaudin System
Manabe – Quantum Curves as Singular Vectors
Matsui – Exact Solvability of the Boundary Driven Diffusive Spin-1/2 XXZ Chain with Non-Diagonal Boundary Magnetic Fields
Matsuo – Quantum Toroidal Symmetry and SL(2,Z) Covariant Description of AGT and QQ-Character
Morin-Duchesne – Modular Invariant Partition Functions of Critical Percolation
Nepomechie – The A, B, C, D’s of Bethe Ansatz
Nepomechie – Quantum Groups & Quantum Integrability
Pearce – Yang-Baxter Solution of Dimers as a Free-Fermion Six-Vertex Model
Quella – A New Perspective on SU(N) Long-Range Spin Models
Ravanini – The ceff-theorem : Irreversibility of RG Flows in 2D Non-unitary QFT’s
Ridout – A (Gentle) Introduction to Logarithmic Conformal Field Theory
Ridout – The Standard Module Formalism: Modularity and Logarithmic CFT
Rim – Random Matrix with Conformal Symmetry
Rim – Minimal Gravity and Frobenius Manifold: Bulk Correlation on Sphere and Disk
Saint-Aubin – On the Computation of Fusion Over the Affine Temperley-Lieb Algebra
Schoutens – Many-Body Strategies for Multi-Qubit Gates
Takacs – Quenches in Quantum Field Theory
Wakayama – Spectral Degeneracies in Asymmetric Quantum Rabi Models and Representations
Wang – Exact Solution of a Relativistic Quantum Toda Chain
Yang – Boundary Energy of the Heisenberg Chain with Various Boundary Conditions

MATRIX is publishing, through Springer, refereed proceedings of MATRIX Workshops including selected reviews, summaries of research topics and research articles. Please contact the organisers if you wish to contribute.


MATRIX Wine and Cheese Afternoon 27 June 2017

Introductory 90 minute lectures on Workshop Themes (Week 1):

  • Zoltan Bajnok: AdS/CFT
  • Clare Dunning: ODE/IM Correspondence
  • Rafael Nepomechie: Bethe Ansatz
  • David Ridout: Logarithmic CFT
  • Chaiho Rim: Random Matrix Approach to CFT

AMSI/AustMS Embedded Conference: Week 3 (10-14 July 2017)

This is an AMSI sponsored event so AMSI travel funding is available (by individual application) to support students and early career researchers from AMSI Member Institutes.

Affiliated sponsors:

AMSI_H_RGB_HR        austms-adelaide-med