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Quantum Transport after Inhomogeneous Quenches

Spyros Sotiriadis (Université de Ljubljana, Slovénie)
When Nov 23, 2017
from 01:30 AM to 02:30 AM
Attendees Spyros Sotiriadis
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Jeudi 23 Novembre

 

Title: Quantum Transport after Inhomogeneous Quenches

Spyros Sotiriadis (Université de Ljubljana, Slovénie)

 

Abstract: 

I will discuss quantum dynamics and transport in systems that are initially split in two halves lying at different temperature or particle density and abruptly connected. After such an inhomogeneous quench, a Non-Equilibrium Steady State (NESS) typically forms in the thermodynamic and large time limit. I will demonstrate how the emergence of NESS can be derived from first principles, starting from non-interacting lattice models in one dimension and considering the effects of different boundary conditions and of interacting defects. Next I will focus on a genuinely interacting integrable system, the Lieb-Liniger gas, for which it has been recently conjectured that Generalised Hydrodynamics (GHD) emerges at large times. I will derive an exact formula for the NESS and show how certain predictions of the above conjecture can be deduced from it.