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Title: Long time thermal asymptotics of nonlinear Luttinger liquid from inverse scattering
Author(s): Tom Price
As Contributors: Tom Price
Arxiv Link: http://arxiv.org/abs/1708.02170v1
Date submitted: 2017-08-08
Submitted by: Price, Tom
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

Abstract

I derive a Fredholm determinant for the thermal correlator of vertex operators with a conformally invariant density matrix and nonlinear time evolution. Using the method of nonlinear steepest descent I find the long time asymptotics at finite temperature. The asymptotics display exponentially small corrections in temperature to the finite temperature mobile impurity phenomenology.

Current status:

  
Editor-in-charge assigned, manuscript under review