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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: | 2019-06-06 |
| Date submitted: | 2019-05-18 02:00 |
| Submitted by: | Schütz, Gunter |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| 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
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
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