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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 registered SciPost users): | Gunter Schütz |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1812.03020v3 (pdf) |
| Date accepted: | June 6, 2019 |
| Date submitted: | May 18, 2019, 2 a.m. |
| Submitted by: | Schütz, Gunter |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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
Strengths
quite exhaustive discussion
clear explanations, well organised
some results surprising
clear explanations, well organised
some results surprising
Weaknesses
none
Report
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.
Requested changes
none