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Transport fluctuations in integrable models out of equilibrium

by Jason Myers, M. J. Bhaseen, Rosemary J. Harris, Benjamin Doyon

Submission summary

As Contributors: Benjamin Doyon
Arxiv Link: https://arxiv.org/abs/1812.02082v3
Date submitted: 2019-06-28
Submitted by: Doyon, Benjamin
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

We present exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We do this by combining insights from generalised hydrodynamics with a theory of large deviations in ballistic transport. The results are applicable to a wide variety of physical systems, including the Lieb-Liniger gas and the Heisenberg chain. We confirm the predictions by Monte Carlo simulations of the classical hard rod gas. We verify numerically that the exact results obey the correct non-equilibrium fluctuation relations with the appropriate initial conditions.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1812.02082v3 on 28 June 2019

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