Entropy of the quantum work distribution
arXiv:2210.07896 · doi:10.1103/PhysRevResearch.5.L022010
Abstract
The statistics of work done on a quantum system can be quantified by the two-point measurement scheme. We show how the Shannon entropy of the work distribution admits a general upper bound depending on the initial diagonal entropy, and a purely quantum term associated to the relative entropy of coherence. We demonstrate that this approach captures strong signatures of the underlying physics in a diverse range of settings. In particular, we carry out a detailed study of the Aubry-André-Harper model and show that the entropy of the work distribution conveys very clearly the physics of the localization transition, which is not apparent from the statistical moments.
7 pages, 3 figures. Close to published version
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Cited by in corpus (9)
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- Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
- Detailed fluctuation theorem from the one-time measurement scheme
- Ergotopy transport in a one dimensional spin chain
- Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
- Quantum work statistics of controlled evolutions
- Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
- Thermodynamic perspective on quantum fluctuations
- Edge States Effects in Quantum Work Statistics