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Charge-current correlation equalities for quantum systems far from equilibrium

by D. Karevski, G. M. Schütz

This Submission thread is now published as SciPost Phys. 6, 068 (2019)

Submission summary

As Contributors: Gunter Schütz
Arxiv Link: (pdf)
Date accepted: 2019-06-06
Date submitted: 2019-05-18 02:00
Submitted by: Schütz, Gunter
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
  • Statistical and Soft Matter Physics
Approach: Theoretical


We prove that a recently derived correlation equality between conserved charges and their associated conserved currents for quantum systems far from equilibrium [O.A. Castro-Alvaredo et al., Phys. Rev. X \textbf{6}, 041065 (2016)], is valid under more general conditions than assumed so far. Similar correlation identities, which in generalized Gibbs ensembles give rise to a current symmetry somewhat reminiscent of the Onsager relations, turn out to hold also in the absence of translation invariance, for lattice models, and in any space dimension, and to imply a symmetry of the non-equilibrium linear response functions.

Ontology / Topics

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Generalized Gibbs ensemble (GGE) Onsager relation Open quantum systems Out-of-equilibrium systems

Published as SciPost Phys. 6, 068 (2019)

Reports on this Submission

Anonymous Report 1 on 2019-6-5 (Invited Report)


quite exhaustive discussion
clear explanations, well organised
some results surprising




I think the authors have improved the manuscript greatly. I like how exhaustive it is, and how it makes clear the consequences of each assumptions. The results - in particular the relations obtained without space translation invariance - are quite interesting. This is a very nice work.

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