2024 - T1 - Quantum many-body systems out-of-equilibrium

Collection 2024 - T1 - Quantum many-body systems out-of-equilibrium

Organisateur(s) Fazio, Rosario ; Giamarchi, Thierry ; Minguzzi, Anna ; Vignolo, Patrizia
Date(s) 08/01/2024 - 22/03/2024
URL associée https://indico.math.cnrs.fr/event/8995/
65 76

Grey solitons in the nonlinear Schrödinger equation: quenches, phase-slips and shock waves

De Romain Dubessy

In this seminar I will discuss the physics of interacting bosons on a ring. I will first consider the stability of metastable current states, in a presence of a localized barrier. In particular I will show that for large barriers a universal dynamics emerges that involves dispersive shock waves, at all interaction strengths, that can be understood using the generalized hydrodynamics framework. I will then focus on the weak barrier regime and show that the dynamics is non-universal and involves in the mean-field regime thermally activated grey solitons. In a second part I will introduce the tools of the inverse scattering transform to study far from equilibrium states and discuss how they can be adapted to the ring geometry. Finally I will conclude by pointing out a few perspectives in the study of non-integrable systems and soliton gases.

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