Equivalent definitions of the quantum nonadiabatic entropy production
arXiv:1403.7778 · doi:10.1007/s10955-014-0991-1
Abstract
The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy production have appeared in the literature, one based on the quantum relative entropy and the other based on quantum trajectories. We show that these two formulations are equivalent. Furthermore, this equivalence leads us to a proof of the monotonicity of the quantum relative entropy under a special class of completely-positive, trace-preserving quantum maps, which circumvents difficulties associated with the noncommuntative structure of operators.
13 pages
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Cited by in corpus (7)
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- Comparison between quantum jumps and master equation in the presence of a finite environment
- Information geometry of transitions between quantum nonequilibrium steady states
- Calorimetric measurement of work for a driven harmonic oscillator
- Quantum thermodynamics under continuous monitoring: a general framework
- The correlational entropy production during the local relaxation in a many body system with Ising interactions