Entropy of the quantum work distribution

• URL: http://arxiv.org/abs/2210.07896v2
• Date: Wed, 3 May 2023 07:03:38 GMT
• Title: Entropy of the quantum work distribution
• Authors: Anthony Kiely, Eoin O'Connor, Thom\'as Fogarty, Gabriel T. Landi, Steve Campbell
• Abstract summary: We show how the Shannon entropy of the work distribution admits a general upper bound depending on the initial diagonal entropy. We demonstrate that this approach captures strong signatures of the underlying physics in a diverse range of settings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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