School Seminars and Colloquia

Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State

Mathematical Physics Seminar

by Elena Tartaglia

Institution: SISSA (Trieste)
Date: Tue 24th October 2017
Time: 1:00 PM
Location: Peter Hall 213

Abstract: I will talk about my recent project in the area of non-equilibrium dynamics of closed quantum many-body systems. Firstly, I will give an introduction to the area, explaining how local observables subject to unitary time evolution can reach stationary values described by appropriate statistical ensembles. I will give an example in terms of the XX model and then move to describing our recent work with the infinitely repulsive Hubbard model. I will explain how for a certain class of initial states we are able to determine the steady state using the so called Quench Action method, which can be used to describe the long-time behaviour of observables in the thermodynamic limit of interacting integrable models.