# Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

Created: | 2016-01-25 12:47 |
---|---|

Institution: | Isaac Newton Institute for Mathematical Sciences |

Description: | Quantum Integrability is a rich and highly cross-disciplinary subject, with fascinating mathematical structures and a wide spectrum of physical applications. It is the key tool for understanding critical properties of numerous quantum systems at and out of equilibrium, such as spin chains or the delta-function Bose gas (also known as the quantum non-linear Schrödinger equation). Long-standing problems such as the scaling limit of the Ising model in a magnetic field have been solved thanks to recent developments of integrable techniques.
These developments in theoretical physics have been paralleled by advances in several areas of pure and applied mathematics, enhancing interactions among researchers working on combinatorics, probability theory, infinite dimensional Lie algebras, knots and braids, soliton systems, random matrices, non-linear differential equations and computational science. A new arena for quantum integrable systems has recently arisen as a result of the ability to realize for the first time, stable and controllable isolated quantum systems (by means of cold atom experimental set-ups). This has led to an immense growth of this research area and has given access to a largely unexplored territory of out-equilibrium quantum dynamics. These exciting advances call for the development of new mathematical techniques to meet the challenge of describing out-of-equilibrium phenomena in strongly interacting lowdimensional quantum systems. In gathering together a core group of outstanding scientists, we aim to make substantial progress on a series of key open problems. Topics will include Quantum Quenches Boundary Conformal Field Theory Driven Systems Local and non-local conserved charges Boltzmann equation and transport phenomena Entanglement measures Linear and non-linear response Non-linear hydrodynamics Thermalization and Equilibration in Quantum Systems Generalized Gibbs Ensemble Dynamics of quantum integrable systems Open quantum systems Techniques in atomics condensate Activities In the first week of the programme there will be a conference, that will gather together leading physicists and mathematicians in the area of Quantum Integrability. In each of the following weeks there will be two introductory 60 minute lectures by world-leading experts. The topics of the lectures will be chosen to mesh with Focus Week Activities planned to involve the participants on key themes of the programme. During the Focus Weeks there will also be a certain number of round table discussions that will help in exploiting new scientific directions and shaping the future research on this emerging field. |

# Media items

This collection contains 33 media items.

### Media items

#### Anomalous hydrodynamics in two dimensions

Abanov, A (Stony Brook University)

Wednesday 3rd February 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 18 Feb 2016

#### Dynamical phase transitions and statistics of excitations

Silva, A (SISSA, Abdus Salam International Centre for Theoretical Physics)

Thursday 14th January 2016 - 10:00 to 11:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Dynamics and relaxation in quantum integrable systems

Caux, JS (Universiteit van Amsterdam)

Tuesday 12th January 2016 - 14:00 to 15:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Expansion potentials for exact far-from-equilibrium spreading of energy in the XXZ model

Moore, J (University of California, Berkeley)

Monday 11th January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Fidelities in the spin-boson model

Lukyanov, S (Rutgers, The State University of New Jersey)

Wednesday 27th January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 9 Feb 2016

#### Heating and breakdown of adiabaticity in Floquet systems through many-body resonances

Polkovnikov, P (Boston University)

Thursday 21st January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 9 Feb 2016

#### Heisenberg spin chains by separation of variables: recent advances

Terras, V [Université Paris-Sud 11, CNRS (Centre national de la recherche scientifique)]

Thursday 14th January 2016 - 15:00 to 16:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Jan 2016

#### High order correlations and what we can learn about the solution for many body problems from experiment

Schmiedmayer, J (Technische Universität Wien)

Thursday 14th January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Inhomogeneous quenches and arctic curves in fermionic systems

Viti, J (Max-Planck-Institut für Physik komplexer Systeme, Dresden)

Wednesday 13th January 2016 - 16:30 to 17:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Initial states in integrable quantum field theory quenches from an integral equation hierarchy

Takacs, G (Budapest University of Technology and Economics)

Friday 15th January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Jan 2016

#### Integrability and supersymmetry in quantum optics

Gritsev, V (Universiteit van Amsterdam)

Tuesday 12th January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Integrability of a deterministic cellular automaton driven by stochastic boundaries

Prosen, T (University of Ljubljana)

Wednesday 13th January 2016 - 15:00 to 16:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Memory-preserving equilibration after a quantum quench in a 1d critical model

Sotiriadis, S (SISSA, Università degli Studi Roma Tre)

Tuesday 2nd February 2016 - 16:00 to 17:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 18 Feb 2016

#### New perspectives on the Riemann Hypothesis

LeClair, A (Cornell University)

Wednesday 20th January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 9 Feb 2016

#### Non-Equilibrium Transport at Quantum Critical Points

Bhaseen, J (King's College London)

Monday 25th January 2016 - 14:00 to 15:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 9 Feb 2016

#### Out of equilibrium dynamics and a unifying view on many-body localisation

Eisert, J (Freie Universität Berlin)

Friday 15th January 2016 - 15:00 to 16:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Jan 2016

#### Quantisation of Kadomtsev-Petviashvili equation

Sklyanin, E (University of York)

Thursday 14th January 2016 - 16:30 to 17:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 25 Jan 2016

#### Quantum integrability in the Rabi model

Batchelor, M (Chongqing University, Australian National University)

Friday 22nd January 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 9 Feb 2016

#### Quantum quenches in integrable lattice systems

Rigol, M (Pennsylvania State University)

Tuesday 2nd February 2016 - 11:30 to 12:30

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 25 Feb 2016

#### Quantum quenches in the sine-Gordon model: a semiclassical approach

Kormos, M (Budapest University of Technology and Economics)

Monday 11th January 2016 - 10:00 to 11:00

**Collection**:
Mathematical Aspects of Quantum Integrable Models in and out of Equilibrium

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Jan 2016