Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Poster - Quanten Systems
DY 26.13: Poster
Dienstag, 8. März 2016, 18:15–21:00, Poster C
Thermalization in Two Uncoupled Wires of Interacting Luttinger Liquids — •Sebastian Huber1,2,3, Michael Buchhold2,3 und Sebastian Diehl2,3 — 1Physics Department, Ludwig-Maximilians-Universität München, 80333 Munich, Germany — 2Institute of Theoretical Physics, Technische Universität Dresden, 01069 Dresden, Germany — 3Institute of Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria
Coherently splitting a one-dimensional Bose gas provides an attractive, experimentally established platform to investigate thermalization dynamics. After the split, the two wires are in a strongly entangled non-equilibrium state with equal longitudinal phase profiles. The dynamics is generated by interactions within the two uncoupled Luttinger Liquids.
In order to find signatures of thermalization and to calculate the non-equilibrium dynamics of this system, we derive the kinetic equations for the time dependent normal and anomalous phonon densities in a Keldysh framework. We determine the spatial expansion of the relative phase correlation function numerically at each time step, which is experimentally detectable by means of matter-wave interferometry.
The time evolution of the relative phase correlation function has two distinct regimes: At early times the system evolves to a prethermal state characterized by a light-cone behaviour and described by a GGE state. However, the presence of phonon scattering induces late time dynamics, during which the relative phase correlation function shows clear signatures of thermalization.