Quantum Reciprocity Conjecture for the Non-Equilibrium Steady State
Strongly Correlated Electrons
2007-05-23 v2
Abstract
By considering the lack of history dependence in the non-equilibrium steady state of a quantum system we are led to conjecture that in such a system, there is a set of quantum mechanical observables whose retarded response functions are insensitive to the arrow of time, and which consequently satisfy a quantum analog of the Onsager reciprocity relations. Systems which satisfy this conjecture can be described by an effective Free energy functional. We demonstrate that the conjecture holds in a resonant level model of a multi-lead quantum dot.
Cite
@article{arxiv.cond-mat/0205004,
title = {Quantum Reciprocity Conjecture for the Non-Equilibrium Steady State},
author = {P. Coleman and W. Mao},
journal= {arXiv preprint arXiv:cond-mat/0205004},
year = {2007}
}
Comments
References revised to take account of related work on Onsager reciprocity in mesoscopics by Christen, and in hydrodynamics by Mclennan, Dufty and Rubi