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. |
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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