Virtual Workshop
The workshop will be held on June 8, June 12 and June 16, 2020
10/06 sessions are postponed to 16/06 in light of the Black Lives matter strike

Abstract
Hydrodynamics plays a crucial role in many branches of physics. It can be regarded as an effective field theory for the dynamics of slow conserved modes of many-body systems that emerge at large scales, describing the evolution from local to global equilibrium. Recently, the notion of hydrodynamics was generalized to describe the behavior of quantum integrable systems that are characterized by an infinite number of conserved quantities. This workshop will gather a core group of outstanding young scientists, and will aim to set new directions for future research in the field.

Workshop Description
The last decade witnessed an intense combined effort of both experimentalists and theorists aimed at understanding quantum matter out of equilibrium. The main research themes concerned the identification of universal structures emerging at finite times and the description of the eventual relaxation. In systems characterised by an extensive number of conservation laws (integrable systems, including many paradigmatic models of quantum many-body physics such as the Hubbard, Heisenberg, and Lieb-Liniger models), a rich set of hydrodynamic laws was found to emerge. These laws, which have been grouped under the name of “Generalised Hydrodynamics” (GHD), offered a variety of applications ranging from the study of transport in simple materials to the quantitative description of cold-atom experiments. Generalised Hydrodynamics is now understood as a wide-ranging framework encompassing both quantum and classical systems, and has fostered surprising new developments in integrability, statistical mechanics and fluid theory.

In gathering together a core group of outstanding scientists, we aim to set new directions for future research in the field. For instance, one of the cutting edges of the field is to understand how the hydrodynamic regime is reached. Moreover, a general understanding of anomalous transport properties is missing, higher-order gradient corrections needed to capture low-frequency transport remain mysterious, and the role of the inevitable integrability-breaking perturbations present in any experiment is poorly understood. Those exciting challenges call for the development of new mathematical techniques to describe out-of-equilibrium phenomena in strongly interacting low-dimensional quantum systems, and integrable systems provide the ideal testbed to develop such ideas.

A. BASTIANELLO, University of Amsterdam, The Netherlands

V. BULCHANDANI, UC Berkeley, USA

A. CORTES-CUBERO, University of Amsterdam, The Netherlands

J. DE NARDIS, Ghent University, Belgium

J. DUBAIL, Université de Lorraine, France

M. FAGOTTI, Université Paris-Saclay, France

S. GOPALAKRISHNAN, CUNY, USA

K. KLOBAS, University of Ljubljana, Slovenia

M. MEDENJAK, ENS Paris, France
F. MØLLER, Technische Universität Wien, Austria

L. PIROLI, Max Planck Institute Garching, Germany

P. RUGGIERO, Université de Genève, Switzerland

T. YOSHIMURA, Tokyo Institute of Technology, Japan