# Séminaire du LPTMS: Spyros Sotiriadis

## Quantum transport after inhomogeneous quenches

### Spyros Sotiriadis (University of Ljubljana, Slovenia)

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 determinant formula for the NESS and show how certain predictions of the above conjecture can be deduced from it.

**Date/Time : ** 28/11/2017 - *11:00 - 12:00*

**Location : ** LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay

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