# Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature

### Submission summary

 As Contributors: Alessio Calzona Arxiv Link: http://arxiv.org/abs/1711.02967v1 Date submitted: 2017-11-09 Submitted by: Calzona, Alessio Submitted to: SciPost Physics Domain(s): Theoretical Subject area: Condensed Matter Physics - Theory

### Abstract

We investigate the influence of thermal effects on the relaxation dynamics of a one-dimensional quantum system of interacting fermions subject to a sudden quench of the interaction strength. It has been shown that quantum quench in a one-dimensional interacting system induces entanglement between counter-propagating excitations, whose signature is reflected in finite two-point bosonic cross-correlators. At zero temperature, their relaxation dynamics is governed by a universal power law $\propto t^{-2}$, whose behavior can be detected in transport properties. Here, we consider the system initially prepared in a thermal state and we demonstrate that these quench-induced features are stable and robust against thermal effects. Remarkably, we argue that the long-time dynamics of the current injected from a biased probe still exhibits a universal power law relaxation $\propto t^{-2}$, even at finite temperature. This result is in sharp contrast with the non-quenched case, for which the current features a fast exponential relaxation towards its steady value, and thus represents a fingerprint of quench-induced dynamics.

#### Current status:

Editor-in-charge assigned, manuscript under review