Entropy current and efficiency of quantum machines driven by nonequilibrium incoherent reservoirs

Abstract

Nanotechnology has not only provided us the possibility of developing quantum machines but also noncanonical power sources able to drive them. Here we focus on studying the performance of quantum machines driven by arbitrary combinations of equilibrium reservoirs and a form of engineered reservoirs consisting of noninteracting particles but whose distribution functions are nonthermal. We provide the expressions for calculating the maximum efficiency of those machines without needing any knowledge of how the nonequilibrium reservoirs were actually made. The formulas require the calculation of a quantity that we term entropy current, which we also derive. We illustrate our methodology through a solvable toy model where heat "spontaneously" flows against the temperature gradient.

References in corpus (5)

• Experimental study of mutual information in a Maxwell Demon
• Thermodynamics of a physical model implementing a Maxwell demon
• Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
• Energy relaxation and thermalization of hot electrons in quantum wires
• Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors