## SciPost Submission Page

# Charge-current correlation equalities for quantum systems far from equilibrium

### by D. Karevski, G. M. Schütz

### Submission summary

As Contributors: | Gunter Schütz |

Arxiv Link: | https://arxiv.org/abs/1812.03020v3 |

Date accepted: | 2019-06-06 |

Date submitted: | 2019-05-18 |

Submitted by: | Schütz, Gunter |

Submitted to: | SciPost Physics |

Domain(s): | Theoretical |

Subject area: | Quantum Physics |

### 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.

###### Current status:

### Submission & Refereeing History

## Reports on this Submission

### Anonymous Report 1 on 2019-6-5 Invited Report

### 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

none