Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments
We formulate exact generalized nonequilibrium fluctuation relations for the quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each of the different baths is prepared in its own individual (in general nonthermal) state. Starting from the exact solution for the oscillator dyna...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/10/105008 |
| _version_ | 1797751734888562688 |
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| author | D Pagel P Nalbach A Alvermann H Fehske M Thorwart |
| author_facet | D Pagel P Nalbach A Alvermann H Fehske M Thorwart |
| author_sort | D Pagel |
| collection | DOAJ |
| description | We formulate exact generalized nonequilibrium fluctuation relations for the quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each of the different baths is prepared in its own individual (in general nonthermal) state. Starting from the exact solution for the oscillator dynamics we study fluctuations of the oscillator position as well as of the energy current through the oscillator under general nonequilibrium conditions. In particular, we formulate a fluctuation–dissipation relation for the oscillator position autocorrelation function that generalizes the standard result for the case of a single bath at thermal equilibrium. Moreover, we show that the generating function for the position operator fulfils a generalized Gallavotti–Cohen-like relation. For the energy transfer through the oscillator, we determine the average energy current together with the current fluctuations. Finally, we discuss the generalization of the cumulant generating function for the energy transfer to nonthermal bath preparations. |
| first_indexed | 2024-03-12T16:53:54Z |
| format | Article |
| id | doaj.art-b11058a3aad540939d4137a87969c67e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:53:54Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-b11058a3aad540939d4137a87969c67e2023-08-08T11:04:21ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151010500810.1088/1367-2630/15/10/105008Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environmentsD Pagel0P Nalbach1A Alvermann2H Fehske3M Thorwart4Institut für Physik, Ernst-Moritz-Arndt-Universität Greifswald , Felix-Hausdorff-Straße 6, D-17489 Greifswald, GermanyI. Institut für Theoretische Physik, Universität Hamburg , Jungiusstraße 9, D-20355 Hamburg, GermanyInstitut für Physik, Ernst-Moritz-Arndt-Universität Greifswald , Felix-Hausdorff-Straße 6, D-17489 Greifswald, GermanyInstitut für Physik, Ernst-Moritz-Arndt-Universität Greifswald , Felix-Hausdorff-Straße 6, D-17489 Greifswald, GermanyI. Institut für Theoretische Physik, Universität Hamburg , Jungiusstraße 9, D-20355 Hamburg, GermanyWe formulate exact generalized nonequilibrium fluctuation relations for the quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each of the different baths is prepared in its own individual (in general nonthermal) state. Starting from the exact solution for the oscillator dynamics we study fluctuations of the oscillator position as well as of the energy current through the oscillator under general nonequilibrium conditions. In particular, we formulate a fluctuation–dissipation relation for the oscillator position autocorrelation function that generalizes the standard result for the case of a single bath at thermal equilibrium. Moreover, we show that the generating function for the position operator fulfils a generalized Gallavotti–Cohen-like relation. For the energy transfer through the oscillator, we determine the average energy current together with the current fluctuations. Finally, we discuss the generalization of the cumulant generating function for the energy transfer to nonthermal bath preparations.https://doi.org/10.1088/1367-2630/15/10/105008 |
| spellingShingle | D Pagel P Nalbach A Alvermann H Fehske M Thorwart Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments New Journal of Physics |
| title | Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments |
| title_full | Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments |
| title_fullStr | Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments |
| title_full_unstemmed | Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments |
| title_short | Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments |
| title_sort | nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments |
| url | https://doi.org/10.1088/1367-2630/15/10/105008 |
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