Quantum Work Statistics with Initial Coherence
The two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau–Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between b...
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| Format: | Article |
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MDPI AG
2020-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/11/1223 |
| _version_ | 1827703430769016832 |
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| author | María García Díaz Giacomo Guarnieri Mauro Paternostro |
| author_facet | María García Díaz Giacomo Guarnieri Mauro Paternostro |
| author_sort | María García Díaz |
| collection | DOAJ |
| description | The two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau–Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between both schemes in terms of the amount of coherence present in the initial state of the system, as quantified by the <inline-formula><math display="inline"><semantics><msub><mi>l</mi><mn>1</mn></msub></semantics></math></inline-formula>-coherence measure. We show that the difference between the two first moments of work, the variances of work, and the average entropy production obtained in both schemes can be cast in terms of such initial coherence. Moreover, we prove that the average entropy production can take negative values in the Margenau–Hill framework. |
| first_indexed | 2024-03-10T15:18:04Z |
| format | Article |
| id | doaj.art-ac897b3ff7384c98b72b3d6f82eefd41 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T15:18:04Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ac897b3ff7384c98b72b3d6f82eefd412023-11-20T18:45:08ZengMDPI AGEntropy1099-43002020-10-012211122310.3390/e22111223Quantum Work Statistics with Initial CoherenceMaría García Díaz0Giacomo Guarnieri1Mauro Paternostro2Física Teòrica: Informació i Fenòmens Quàntics, Departament de Física, Universitat Autònoma de Barcelona, ES-08193 Bellaterra (Barcelona), SpainSchool of Physics, Trinity College Dublin, College Green, Dublin 2, Ireland;<email>guarnieg@tcd.ie</email>Centre for Theoretical Atomic, Molecular, and Optical Physics, School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, UKThe two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau–Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between both schemes in terms of the amount of coherence present in the initial state of the system, as quantified by the <inline-formula><math display="inline"><semantics><msub><mi>l</mi><mn>1</mn></msub></semantics></math></inline-formula>-coherence measure. We show that the difference between the two first moments of work, the variances of work, and the average entropy production obtained in both schemes can be cast in terms of such initial coherence. Moreover, we prove that the average entropy production can take negative values in the Margenau–Hill framework.https://www.mdpi.com/1099-4300/22/11/1223quantum coherencequantum thermodynamicswork distribution |
| spellingShingle | María García Díaz Giacomo Guarnieri Mauro Paternostro Quantum Work Statistics with Initial Coherence Entropy quantum coherence quantum thermodynamics work distribution |
| title | Quantum Work Statistics with Initial Coherence |
| title_full | Quantum Work Statistics with Initial Coherence |
| title_fullStr | Quantum Work Statistics with Initial Coherence |
| title_full_unstemmed | Quantum Work Statistics with Initial Coherence |
| title_short | Quantum Work Statistics with Initial Coherence |
| title_sort | quantum work statistics with initial coherence |
| topic | quantum coherence quantum thermodynamics work distribution |
| url | https://www.mdpi.com/1099-4300/22/11/1223 |
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