Quantum and Classical Ergotropy from Relative Entropies
The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given 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, we defi...
| Published in: | Entropy |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
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| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/9/1107 |
| _version_ | 1850421183496847360 |
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| author | Akira Sone Sebastian Deffner |
| author_facet | Akira Sone Sebastian Deffner |
| author_sort | Akira Sone |
| collection | DOAJ |
| container_title | Entropy |
| description | The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given 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, we 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. |
| format | Article |
| id | doaj-art-e2d8a09c84a24317bc7a5c8fce156fb6 |
| institution | Directory of Open Access Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-e2d8a09c84a24317bc7a5c8fce156fb62025-08-19T22:42:28ZengMDPI AGEntropy1099-43002021-08-01239110710.3390/e23091107Quantum and Classical Ergotropy from Relative EntropiesAkira Sone0Sebastian Deffner1Aliro Technologies, Inc., Boston, MA 02135, USADepartment of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USAThe quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given 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, we 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.https://www.mdpi.com/1099-4300/23/9/1107ergotropygeometric quantum mechanicsconditional thermal state |
| spellingShingle | Akira Sone Sebastian Deffner Quantum and Classical Ergotropy from Relative Entropies ergotropy geometric quantum mechanics conditional thermal state |
| title | Quantum and Classical Ergotropy from Relative Entropies |
| title_full | Quantum and Classical Ergotropy from Relative Entropies |
| title_fullStr | Quantum and Classical Ergotropy from Relative Entropies |
| title_full_unstemmed | Quantum and Classical Ergotropy from Relative Entropies |
| title_short | Quantum and Classical Ergotropy from Relative Entropies |
| title_sort | quantum and classical ergotropy from relative entropies |
| topic | ergotropy geometric quantum mechanics conditional thermal state |
| url | https://www.mdpi.com/1099-4300/23/9/1107 |
| work_keys_str_mv | AT akirasone quantumandclassicalergotropyfromrelativeentropies AT sebastiandeffner quantumandclassicalergotropyfromrelativeentropies |