Maximum one-shot dissipated work from Rényi divergences
Thermodynamics describes large-scale, slowly evolving systems. Two modern approaches generalize thermodynamics: fluctuation theorems, which concern finite-time nonequilibrium processes, and one-shot statistical mechanics, which concerns small scales and finite numbers of trials. Combining these appr...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2018
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| _version_ | 1826280383770001408 |
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| author | Yunger Halpern, N Garner, A Dahlsten, O Vedral, V |
| author_facet | Yunger Halpern, N Garner, A Dahlsten, O Vedral, V |
| author_sort | Yunger Halpern, N |
| collection | OXFORD |
| description | Thermodynamics describes large-scale, slowly evolving systems. Two modern approaches generalize thermodynamics: fluctuation theorems, which concern finite-time nonequilibrium processes, and one-shot statistical mechanics, which concerns small scales and finite numbers of trials. Combining these approaches, we calculate a one-shot analog of the average dissipated work defined in fluctuation contexts: the cost of performing a protocol in finite time instead of quasistatically. The average dissipated work has been shown to be proportional to a relative entropy between phase-space densities, to a relative entropy between quantum states, and to a relative entropy between probability distributions over possible values of work. We derive one-shot analogs of all three equations, demonstrating that the order-infinity Rényi divergence is proportional to the maximum possible dissipated work in each case. These one-shot analogs of fluctuation-theorem results contribute to the unification of these two toolkits for small-scale, nonequilibrium statistical physics. |
| first_indexed | 2024-03-07T00:12:54Z |
| format | Journal article |
| id | oxford-uuid:79d802e4-e97c-46f7-a770-3c9b3b1d635d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:12:54Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:79d802e4-e97c-46f7-a770-3c9b3b1d635d2022-03-26T20:40:04ZMaximum one-shot dissipated work from Rényi divergencesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:79d802e4-e97c-46f7-a770-3c9b3b1d635dEnglishSymplectic Elements at OxfordAmerican Physical Society2018Yunger Halpern, NGarner, ADahlsten, OVedral, VThermodynamics describes large-scale, slowly evolving systems. Two modern approaches generalize thermodynamics: fluctuation theorems, which concern finite-time nonequilibrium processes, and one-shot statistical mechanics, which concerns small scales and finite numbers of trials. Combining these approaches, we calculate a one-shot analog of the average dissipated work defined in fluctuation contexts: the cost of performing a protocol in finite time instead of quasistatically. The average dissipated work has been shown to be proportional to a relative entropy between phase-space densities, to a relative entropy between quantum states, and to a relative entropy between probability distributions over possible values of work. We derive one-shot analogs of all three equations, demonstrating that the order-infinity Rényi divergence is proportional to the maximum possible dissipated work in each case. These one-shot analogs of fluctuation-theorem results contribute to the unification of these two toolkits for small-scale, nonequilibrium statistical physics. |
| spellingShingle | Yunger Halpern, N Garner, A Dahlsten, O Vedral, V Maximum one-shot dissipated work from Rényi divergences |
| title | Maximum one-shot dissipated work from Rényi divergences |
| title_full | Maximum one-shot dissipated work from Rényi divergences |
| title_fullStr | Maximum one-shot dissipated work from Rényi divergences |
| title_full_unstemmed | Maximum one-shot dissipated work from Rényi divergences |
| title_short | Maximum one-shot dissipated work from Rényi divergences |
| title_sort | maximum one shot dissipated work from renyi divergences |
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