Role of correlations in the thermalization of quantum systems
We investigate the equilibration and thermalization properties of quantum systems interacting with a finite-dimensional environment. By exploiting the concept of time-averaged states, we introduce a completely positive map which allows us to describe in a quantitative way the dependence of the equil...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/11/113034 |
| _version_ | 1797751671297671168 |
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| author | A Smirne E-M Laine H-P Breuer J Piilo B Vacchini |
| author_facet | A Smirne E-M Laine H-P Breuer J Piilo B Vacchini |
| author_sort | A Smirne |
| collection | DOAJ |
| description | We investigate the equilibration and thermalization properties of quantum systems interacting with a finite-dimensional environment. By exploiting the concept of time-averaged states, we introduce a completely positive map which allows us to describe in a quantitative way the dependence of the equilibrium state on the initial condition. Our results show that the thermalization of quantum systems is favored if the dynamics induces small system–environment correlations, as well as small changes in the environment, as measured by the trace distance. |
| first_indexed | 2024-03-12T16:51:56Z |
| format | Article |
| id | doaj.art-bbe93033377f4863a71bcbfc0a03171b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:56Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-bbe93033377f4863a71bcbfc0a03171b2023-08-08T11:08:34ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141111303410.1088/1367-2630/14/11/113034Role of correlations in the thermalization of quantum systemsA Smirne0E-M Laine1H-P Breuer2J Piilo3B Vacchini4Dipartimento di Fisica, Università degli Studi di Milano , Via Celoria 16, I-20133 Milan, Italy; INFN, Sezione di Milano, Via Celoria 16, I-20133 Milan, ItalyTurku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku , FI-20014 Turun yliopisto, FinlandPhysikalisches Institut, Universität Freiburg , Hermann-Herder-Strasse 3, D-79104 Freiburg, GermanyTurku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku , FI-20014 Turun yliopisto, FinlandDipartimento di Fisica, Università degli Studi di Milano , Via Celoria 16, I-20133 Milan, Italy; INFN, Sezione di Milano, Via Celoria 16, I-20133 Milan, ItalyWe investigate the equilibration and thermalization properties of quantum systems interacting with a finite-dimensional environment. By exploiting the concept of time-averaged states, we introduce a completely positive map which allows us to describe in a quantitative way the dependence of the equilibrium state on the initial condition. Our results show that the thermalization of quantum systems is favored if the dynamics induces small system–environment correlations, as well as small changes in the environment, as measured by the trace distance.https://doi.org/10.1088/1367-2630/14/11/113034 |
| spellingShingle | A Smirne E-M Laine H-P Breuer J Piilo B Vacchini Role of correlations in the thermalization of quantum systems New Journal of Physics |
| title | Role of correlations in the thermalization of quantum systems |
| title_full | Role of correlations in the thermalization of quantum systems |
| title_fullStr | Role of correlations in the thermalization of quantum systems |
| title_full_unstemmed | Role of correlations in the thermalization of quantum systems |
| title_short | Role of correlations in the thermalization of quantum systems |
| title_sort | role of correlations in the thermalization of quantum systems |
| url | https://doi.org/10.1088/1367-2630/14/11/113034 |
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