Finite temperature master equation
We study the behavior of two weakly coupled quantum systems, described by a separable density operator. One of them is a single oscillator, representing a microscopic system, while the other is a set of oscillators, which perform the role of a reservoir in thermal equilibrium. From the Liouville-Von...
Saved in:
| Main Author: | |
|---|---|
| Format: | Online |
| Language: | Portuguese |
| Published: |
Universidade Estadual de Campinas
2020
|
| Subjects: | |
| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3254 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1864358295015260160 |
|---|---|
| author | Oliveira , Renan Cunha de |
| author_facet | Oliveira , Renan Cunha de |
| author_sort | Oliveira , Renan Cunha de |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 |
| description | We study the behavior of two weakly coupled quantum systems, described by a separable density operator. One of them is a single oscillator, representing a microscopic system, while the other is a set of oscillators, which perform the role of a reservoir in thermal equilibrium. From the Liouville-Von Neumann equation for the reduced density operator, we devise the master equation that governs the evolution of the microscopic system, incorporating the effects of temperature via Thermofield Dynamics formalism and suitably redefining the vacuum of the macroscopic system. As applications, we study an oscillator interacting with a set of boson oscillators at finite temperature, usually employed in quantum mechanics to describe a Brownian particle; and investigate the behavior of an oscillator in the presence of a heat bath consisting of a set of fermion oscillators. |
| first_indexed | 2025-10-08T13:49:19Z |
| format | Online |
| id | ojs-article-3254 |
| institution | Universidade Estadual de Campinas |
| issn | 2236-7535 |
| language | por |
| last_indexed | 2025-10-08T13:49:19Z |
| publishDate | 2020 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-32542020-05-15T15:30:07Z Finite temperature master equation Oliveira , Renan Cunha de Quantum systems Single oscillator We study the behavior of two weakly coupled quantum systems, described by a separable density operator. One of them is a single oscillator, representing a microscopic system, while the other is a set of oscillators, which perform the role of a reservoir in thermal equilibrium. From the Liouville-Von Neumann equation for the reduced density operator, we devise the master equation that governs the evolution of the microscopic system, incorporating the effects of temperature via Thermofield Dynamics formalism and suitably redefining the vacuum of the macroscopic system. As applications, we study an oscillator interacting with a set of boson oscillators at finite temperature, usually employed in quantum mechanics to describe a Brownian particle; and investigate the behavior of an oscillator in the presence of a heat bath consisting of a set of fermion oscillators. Universidade Estadual de Campinas 2020-05-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3254 Physicae Proceedings; Vol. 1 No. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 Physicae Proceedings; v. 1 n. 1 (2012): Proceedings XI Young Researchers Meeting ; 1-1 2236-7535 por https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3254/3190 Copyright (c) 2012 Physicae |
| spellingShingle | Oliveira , Renan Cunha de Quantum systems Single oscillator Finite temperature master equation |
| title | Finite temperature master equation |
| title_full | Finite temperature master equation |
| title_fullStr | Finite temperature master equation |
| title_full_unstemmed | Finite temperature master equation |
| title_short | Finite temperature master equation |
| title_sort | finite temperature master equation |
| topic | Quantum systems Single oscillator |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/phyproceedings/article/view/3254 |
| work_keys_str_mv | AT oliveirarenancunhade finitetemperaturemasterequation |
