Non-Abelian transport distinguishes three usually equivalent notions of entropy production
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909328022175744 |
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| author | Upadhyaya, Twesh Braasch, Jr., William F. Landi, Gabriel T. Halpern, Nicole Yunger |
| author_facet | Upadhyaya, Twesh Braasch, Jr., William F. Landi, Gabriel T. Halpern, Nicole Yunger |
| contents | We extend entropy production to a deeply quantum regime involving noncommuting conserved quantities. Consider a unitary transporting conserved quantities ("charges") between two systems initialized in thermal states. Three common formulae model the entropy produced. They respectively cast entropy as an extensive thermodynamic variable, as an information-theoretic uncertainty measure, and as a quantifier of irreversibility. Often, the charges are assumed to commute with each other (e.g., energy and particle number). Yet quantum charges can fail to commute. Noncommutation invites generalizations, which we posit and justify, of the three formulae. Charges' noncommutation, we find, breaks the formulae's equivalence. Furthermore, different formulae quantify different physical effects of charges' noncommutation on entropy production. For instance, entropy production can signal contextuality - true nonclassicality - by becoming nonreal. This work opens up stochastic thermodynamics to noncommuting - and so particularly quantum - charges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_15480 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Abelian transport distinguishes three usually equivalent notions of entropy production Upadhyaya, Twesh Braasch, Jr., William F. Landi, Gabriel T. Halpern, Nicole Yunger Quantum Physics Statistical Mechanics Chemical Physics We extend entropy production to a deeply quantum regime involving noncommuting conserved quantities. Consider a unitary transporting conserved quantities ("charges") between two systems initialized in thermal states. Three common formulae model the entropy produced. They respectively cast entropy as an extensive thermodynamic variable, as an information-theoretic uncertainty measure, and as a quantifier of irreversibility. Often, the charges are assumed to commute with each other (e.g., energy and particle number). Yet quantum charges can fail to commute. Noncommutation invites generalizations, which we posit and justify, of the three formulae. Charges' noncommutation, we find, breaks the formulae's equivalence. Furthermore, different formulae quantify different physical effects of charges' noncommutation on entropy production. For instance, entropy production can signal contextuality - true nonclassicality - by becoming nonreal. This work opens up stochastic thermodynamics to noncommuting - and so particularly quantum - charges. |
| title | Non-Abelian transport distinguishes three usually equivalent notions of entropy production |
| topic | Quantum Physics Statistical Mechanics Chemical Physics |
| url | https://arxiv.org/abs/2305.15480 |