Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 42: Coherent Quantum Dynamics (joint session DY/TT)
DY 42.3: Talk
Thursday, March 23, 2017, 10:15–10:30, ZEU 160
Non-equilibrium interacting integrable models — •Jacopo De Nardis1, Jean-Sébastien Caux2, Enej Ilievski2, Michael Brockmann3, and Milosz Panfil4 — 1CNRS-Laboratoire de Physique Théorique de l’Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex, France — 2Institute for Theoretical Physics, University of Amsterdam, Science Park 904,
Postbus 94485, 1090 GL Amsterdam, The Netherlands — 3Max Planck Institute for the Physics of Complex Systems, Nothnitzer Str. 38, 01187 Dresden, Germany — 4Institute of Theoretical Physics, University of Warsaw,
ul. Pasteura 5, 02-093 Warsaw, Poland.
We review the recent progresses in computing the non-equilibrium steady states (often referred as Generalized Gibbs Ensemble states) of interacting integrable models, as the XXZ spin 1/2 chain and the Lieb-Liniger model for interacting bosons on a line. We show how the role of quasi-local charges is fundamental in order to capture the long time limit of the expectation values of simple local observables and how important information regarding the time evolution towards equilibrium can be extracted by such steady states and their thermodynamic quasi-particle excitations. Finally we show how the steady state can be directly computed via experimental observations with cold atoms in a shallow trap or in an optical lattice.