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Quench dynamics and transport in one-dimensional quantum gases

Spyros Sotiriadis

Vendredi 1er décembre 2017

11h — Site Sophia

We discuss quantum dynamics of one-dimensional interacting bosons in the context of two out-of-equilibrium protocols. The first is a homogeneous quench that has recently led to the first experimental observation of a Generalised Gibbs Ensemble [1]. In this case the system is expected to be described by the sine-Gordon model. We derive the time evolution and large time limit of correlations using a combination of analytical methods in certain non-interacting limits [2] and numerical computation. The second problem is the expansion of a quantum gas in a box of twice the initial size. Based on the integrability of the Lieb-Liniger model describing the system, we derive exact formulae for the Non-Equilibrium Steady State that emerges at large times and discuss the validity of a Generalised Hydro-Dynamics approach that has been recently conjectured [3].

[1] T. Langen et al., Science 348 (2015) 207-211
[2] S. Sotiriadis, P. Calabrese, J. Stat. Mech. (2014) P07024 ; S. Sotiriadis, Phys. Rev. A 94, 031605 (2016) ; S. Sotiriadis, J. Phys. A : Math. Theor. 50 424004 (2017)
[3] O. A. Castro-Alvaredo, B. Doyon, T. Yoshimura, Phys. Rev. X 6, 041065 (2016)