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arXiv · 2210.07896

Entropy of the quantum work distribution

Anthony Kiely·Eoin O'Connor·Thomás Fogarty·Gabriel T. Landi·Steve Campbell
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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-Andr\'e-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.

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Anthony Kiely, Eoin O'Connor, Thomás Fogarty, Gabriel T. Landi, Steve Campbell. 2022-10-14. Entropy of the quantum work distribution. https://doi.org/10.1103/physrevresearch.5.l022010

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