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Charge-current correlation equalities for quantum systems far from equilibrium

by D. Karevski, G. M. Schütz

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Submission summary

Authors (as Contributors): Gunter Schütz
Submission information
Arxiv Link: (pdf)
Date accepted: 2019-06-06
Date submitted: 2019-05-18 02:00
Submitted by: Schütz, Gunter
Submitted to: SciPost Physics
Ontological classification
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.

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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