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

Dragi Karevski, Gunter M. Schütz

SciPost Phys. 6, 068 (2019) · published 17 June 2019

- doi: 10.21468/SciPostPhys.6.6.068
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### 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.

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^{1 }Dragi Karevski, -
^{2 }Gunter Schütz