Quantum integrable models in and out of equilibrium

Workshop theme

Through elegant mathematical solutions of paradigmatic models quantum integrability provides a detailed understanding of fundamental properties of certain quantum states of matter, thus bridging the beauty of mathematics with the richness of the physical world. Cross-fertilization between mathematics and physics has been key to many advances in quantum integrability. Recent years have witnessed tremendous experimental progress in cold atom physics, which has made it possible to realize isolated, low dimensional many-particle quantum systems and study their non-equilibrium dynamics. Quantum integrable models have played an important role in this area. These developments have posed a new set of challenging questions about quantum integrable models.

The main aim of the workshop, which is part of a larger programme on the same subject, is to explore synergies between mathematicians and physicists from leading groups around the world in order develop new methods for the calculation of physical properties of experimental interest. Topics covered by the workshop include experiments on non-equilibrium dynamics in isolated quantum systems, quantum quenches, thermalization, driven quantum systems and dynamical correlation functions.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Quantum integrable models in and out of equilibrium, where work on this paper was undertaken. This work was supported by EPSRC grant EP/K032208/1.

Timetable

Monday 11th January 2016
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from John Toland (INI Director)	Room 1
10:00 to 11:00	Marton Kormos Budapest University of Technology and Economics Quantum quenches in the sine-Gordon model: a semiclassical approach	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Joel Moore University of California, Berkeley Expansion potentials for exact far-from-equilibrium spreading of energy in the XXZ model	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:00 to 15:00	Maurizio Fagotti École Normale Supérieure Stationary states and (quasi)local charges in a semi-infinite chain	Room 1
15:00 to 16:00	Romain Vasseur University of California, Berkeley; Lawrence Berkeley National Laboratory Thermalization, integrability and localization	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required
16:30 to 17:30	Francisco Alcaraz Universidade de São Paulo Shannon mutual information of critical quantum chains	Room 1
17:30 to 18:30	Welcome Wine Reception	No Room Required

Tuesday 12th January 2016
10:00 to 11:00	Ulrich Schneider University of Cambridge; Ludwig-Maximilians-Universität München Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Vladimir Gritsev Universiteit van Amsterdam Integrability and supersymmetry in quantum optics	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:00 to 15:00	Jean-Sébastien Caux Universiteit van Amsterdam Dynamics and relaxation in quantum integrable systems	Room 1
15:00 to 16:00	Pasquale Calabrese SISSA Real time confinement following a quench to a non-integrable model	Room 1
16:00 to 16:30	Afternoon Tea & Poster Session	No Room Required

Wednesday 13th January 2016
10:00 to 11:00	Ignacio Cirac Max-Planck-Institut für Quantenoptik Tensor Network Techniques and systems out of equilibrium	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Benjamin Doyon King's College London Thermalization and pseudolocality in extended quantum systems	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:00 to 15:00	John Cardy University of California, Berkeley; University of Oxford Revivals and Entanglement Propagation after a Quantum Quench	Room 1
15:00 to 16:00	Tomaz Prosen University of Ljubljana Integrability of a deterministic cellular automaton driven by stochastic boundaries	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required
16:30 to 17:30	Jacopo Viti Max-Planck-Institut für Physik komplexer Systeme, Dresden Inhomogeneous quenches and arctic curves in fermionic systems	Room 1
19:30 to 22:00	Conference Dinner at Trinity College	No Room Required

Thursday 14th January 2016
10:00 to 11:00	Alessandro Silva SISSA; Abdus Salam International Centre for Theoretical Physics Dynamical phase transitions and statistics of excitations	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Jörg Schmiedmayer Technische Universität Wien High order correlations and what we can learn about the solution for many body problems from experiment	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:00 to 15:00	Robert Konik Brookhaven National Laboratory Studies of the Loschmidt Echo in Two Dimensional Coupled Arrays of Quantum Ising Chains and Luttinger Liquids	Room 1
15:00 to 16:00	Veronique Terras Université Paris Saclay; CNRS (Centre national de la recherche scientifique) Heisenberg spin chains by separation of variables: recent advances	Room 1
16:00 to 16:30	Afternoon Tea & Poster Session	No Room Required
16:30 to 17:30	Evgeny Sklyanin University of York Quantisation of Kadomtsev-Petviashvili equation	Room 1

Friday 15th January 2016
10:00 to 11:00	Andreas Ludwig University of California, Santa Barbara tba	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Gabor Takacs Budapest University of Technology and Economics Initial states in integrable quantum field theory quenches from an integral equation hierarchy	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
14:00 to 15:00	Austen Lamacraft University of Cambridge z-measures and the non-linear Luttinger liquid	Room 1
15:00 to 16:00	Jens Eisert Freie Universität Berlin Out of equilibrium dynamics and a unifying view on many-body localisation	Room 1
16:00 to 16:30	Afternoon Tea & Poster Session	No Room Required

Mathematical aspects of quantum integrable models in and out of equilibrium

Quantum integrable models in and out of equilibrium

Organisers

Denis BERNARD ENS - Paris
Fabian Essler University of Oxford
German Sierra Rodero Consejo Superior de Investigaciones Cientificas

Speakers

Francisco Alcaraz Universidade de São Paulo
Pasquale Calabrese SISSA
John Cardy University of California, Berkeley; University of Oxford
Jean-Sébastien Caux Universiteit van Amsterdam
Ignacio Cirac Max-Planck-Institut für Quantenoptik
Benjamin Doyon King's College London
Jens Eisert Freie Universität Berlin
Maurizio Fagotti École Normale Supérieure
Vladimir Gritsev Universiteit van Amsterdam
Robert Konik Brookhaven National Laboratory
Marton Kormos Budapest University of Technology and Economics
Austen Lamacraft
Andreas Ludwig University of California, Santa Barbara
Joel Moore University of California, Berkeley
Tomaz Prosen University of Ljubljana
Jörg Schmiedmayer Technische Universität Wien
Ulrich Schneider University of Cambridge; Ludwig-Maximilians-Universität München
Alessandro Silva SISSA; Abdus Salam International Centre for Theoretical Physics
Evgeny Sklyanin University of York
Gabor Takacs Budapest University of Technology and Economics
Veronique Terras Université Paris Saclay; CNRS (Centre national de la recherche scientifique)
Romain Vasseur University of California, Berkeley; Lawrence Berkeley National Laboratory
Jacopo Viti Max-Planck-Institut für Physik komplexer Systeme, Dresden

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Participants

Francisco Alcaraz Universidade de São Paulo
Stephane Attal Université Claude Bernard Lyon 1
John Cardy University of California, Berkeley; University of Oxford
Olalla Castro Alvaredo City University, London
Jean-Sébastien Caux Universiteit van Amsterdam
Ignacio Cirac Max-Planck-Institut für Quantenoptik
(Francis) Edward Corrigan University of York
Alejandro de la Rosa University of York
Jacopo de Nardis CNRS - Ecole Normale Superieure Paris
Benjamin Doyon King's College London
Jens Eisert Freie Universität Berlin
Maurizio Fagotti École Normale Supérieure
Paul Fendley University of Oxford
Andrea Gambassi SISSA
Thierry Giamarchi Université de Genève
Vladimir Gritsev Universiteit van Amsterdam
Johannes Hofmann University of Cambridge
Robert Konik Brookhaven National Laboratory
Marton Kormos Budapest University of Technology and Economics
Austen Lamacraft
Andre Leclair Cornell University
Jean-Michel Maillet ENS - Lyon; CNRS (Centre national de la recherche scientifique)
Joel Moore University of California, Berkeley
Tamas Palmai Budapest University of Technology and Economics
Tomaz Prosen University of Ljubljana
Hayder Salman University of East Anglia
Jörg Schmiedmayer Technische Universität Wien
Ulrich Schneider University of Cambridge; Ludwig-Maximilians-Universität München
German Sierra Rodero Consejo Superior de Investigaciones Cientificas
Alessandro Silva SISSA; Abdus Salam International Centre for Theoretical Physics
Maggie Simmons IOP Publishing
Gabor Takacs Budapest University of Technology and Economics
Alexei Tsvelik University of Oxford
Jacopo Viti Max-Planck-Institut für Physik komplexer Systeme, Dresden