On optimal currents of indistinguishable particles
Quantum Physics
2017-03-03 v2 Mesoscale and Nanoscale Physics
Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We establish a mathematically rigorous, general and quantitative framework to describe currents of non- (or weakly) interacting, indistinguishable particles driven far from equilibrium. We derive tight upper and lower bounds for the achievable fermionic and bosonic steady state current, respectively, which can serve as benchmarks for special cases of interacting many-particle dynamics. For fermionic currents, we identify a symmetry-induced enhancement mechanism in parameter regimes where the coupling between system and reservoirs is weak. This mechanism is broadly applicable provided the inter-particle interaction strength is small as compared to typical exchange interactions.
Keywords
Cite
@article{arxiv.1606.02768,
title = {On optimal currents of indistinguishable particles},
author = {Mattia Walschaers and Andreas Buchleitner and Mark Fannes},
journal= {arXiv preprint arXiv:1606.02768},
year = {2017}
}