Work and reversibility in quantum thermodynamics
Abstract
It is a central question in quantum thermodynamics to determine how irreversible is a process that transforms an initial state ρ to a final state σ and whether such irreversibility can be thought of as a useful resource. For example, we might ask how much work can be obtained by thermalizing ρ to a thermal state σ at temperature T of an ambient heat bath. Here, we show that, for different sets of resourcetheoretic thermodynamic operations, the amount of entropy produced along a transition is characterized by how reversible the process is. More specifically, this entropy production depends on how well we can return the state σ to its original form ρ without investing any work. At the same time, the entropy production can be linked to the work that can be extracted along a given transition and we explore the consequences that this fact has for our results. We also exhibit an explicit reversal operation in terms of the Petz recovery channel coming from quantum information theory. Our result establishes a quantitative link between the reversibility of thermodynamical processes and the corresponding work gain.
 Publication:

Physical Review A
 Pub Date:
 June 2018
 DOI:
 10.1103/PhysRevA.97.062114
 arXiv:
 arXiv:1506.08145
 Bibcode:
 2018PhRvA..97f2114A
 Keywords:

 Quantum Physics;
 Condensed Matter  Statistical Mechanics
 EPrint:
 14 pages