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Linearized regime of the generalized hydrodynamics with diffusion

by Miłosz Panfil, Jacek Pawełczyk

Submission summary

As Contributors: Milosz Panfil
Arxiv Link: https://arxiv.org/abs/1905.06257v2
Date submitted: 2019-06-10
Submitted by: Panfil, Milosz
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

We consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model. We construct a general solution to the linearized hydrodynamics equation in terms of the eigenstates of the evolution operator and study two prototypical classes of initial states: delocalized and localized spatially. We exhibit some general features of the resulting dynamics, among them, we highlight the difference between the ballistic and diffusive evolution. The first one governs a spatial scrambling, the second, a scrambling of the quasi-particles content. We also go one step beyond the linear regime and discuss the evolution of the zero momentum mode that does not evolve in the linear regime.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1905.06257v2 on 10 June 2019

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