Quantum and classical ergotropy from relative entropies
| dc.contributor.author | Sone, Akira | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2021-04-08T17:20:29Z | |
| dc.date.available | 2021-04-08T17:20:29Z | |
| dc.date.issued | 2021-08-25 | |
| dc.description.abstract | The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. We prove that the ergotropy can be expressed as the difference of quantum and classical relative entropies of the quantum state with respect to the thermal state. This insight is exploited to define the classical ergotropy, which quantifies how much work can be extracted from distributions that are inhomogeneous on the energy surfaces. A unified approach to treat both, quantum as well as classical scenarios, is provided by geometric quantum mechanics, for which we define the geometric relative entropy. The analysis is concluded with an application of the conceptual insight to conditional thermal states, and the correspondingly tightened maximum work theorem. | en_US |
| dc.description.sponsorship | We would like to thank Fabio Anza, Christopher Jarzynski, and Kanupriya Sinha for insightful discussions. A.S. was supported by the U.S. Department of Energy, the Laboratory Directed Research and Development (LDRD) program and the Center for Nonlinear Studies at LANL. He is now supported by the internal R&D from Aliro Technologies, Inc. S.D. acknowledges support from the U.S. National Science Foundation under Grant No. DMR2010127. | en_US |
| dc.description.uri | https://www.mdpi.com/1099-4300/23/9/1107 | en_US |
| dc.format.extent | 13 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier | doi:10.13016/m22e2e-yqh7 | |
| dc.identifier.citation | Sone, Akira, and Sebastian Deffner. 2021. "Quantum and Classical Ergotropy from Relative Entropies" Entropy 23, no. 9: 1107. https://doi.org/10.3390/e23091107 | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/21300 | |
| dc.identifier.uri | https://doi.org/10.3390/e23091107 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | MDPI | |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights | Attribution 4.0 International (CC BY 4.0) | * |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
| dc.title | Quantum and classical ergotropy from relative entropies | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0003-0504-6932 |