On optimal currents of indistinguishable particles

Mattia Walschaers, Andreas Buchleitner, Mark Fannes
2017 New Journal of Physics  
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
more » ... egimes 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.
doi:10.1088/1367-2630/aa5ae8 fatcat:turdeu46orc6rn7ni75g4sbbbi