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DY: Fachverband Dynamik und Statistische Physik
DY 62: Poster - Dynamics
DY 62.22: Poster
Thursday, March 19, 2015, 16:00–18:00, Poster A
Non-Equilibrium Heating Dynamics of Interacting Luttinger Liquids — •Sebastian Huber1,2, Michael Buchhold1,2, and Sebastian Diehl1,2 — 1Institute of Theoretical Physics, Technische Universität Dresden, 01069 Dresden, Germany — 2Institute of Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria
Thermalization dynamics of one dimensional bosonic systems have recently attracted strong attention. As a generic example of a non-integrable model, we investigate the dynamics of an interacting Luttinger Liquid driven out of equilibrium by persistent heating. In order to find signatures of thermalization and determine the non-equilibrium dynamics of this system, we derive the kinetic equation for the time dependent phonon density and self-energy in a Keldysh non-equilibrium framework.
The resulting dynamics of the time dependent phonon density can be separated into two distinct momentum regimes. For large momenta, an effective thermalization process sets in, spreading continously to lower momenta. In contrast, at low momenta, the system is described by a non-equilibrium distribution, growing linear in the momentum variable. This linear increase is protected by the structure of the three-phonon scattering vertex.
In the non-equilibrium regime, the scaling form of the phonon lifetimes is modified compared to the known equilibrium result, resulting in a new universal exponent. We show that both the structure of the phonon density and the scaling of the phonon lifetimes can be experimentally detected by means of Bragg spectroscopy.