Quantum Reciprocity Conjecture for the Non-Equilibrium Steady State

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.

References revised to take account of related work on Onsager reciprocity in mesoscopics by Christen, and in hydrodynamics by Mclennan, Dufty and Rubi

References in corpus (4)

• Free Energy Functional for Nonequilibrium Systems: An Exactly Solvable Case
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• On the perturbative expansion of the magnetization in the out-of-equilibrium Kondo model
• Is the quantum dot at large bias a weak-coupling problem?

Cited by in corpus (3)

• Relationship of Time Reversal Symmetry Breaking with Optical Kerr Rotation
• Semi-fermionic representation for spin systems under equilibrium and non-equilibrium conditions
• A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field