Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap
We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that, for a many-body system of cold atoms, the interactions, with a...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-08-01
|
| Series: | Condensed Matter |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2410-3896/4/3/76 |
| _version_ | 1811300539686715392 |
|---|---|
| author | Klaus M. Frahm Leonardo Ermann Dima L. Shepelyansky |
| author_facet | Klaus M. Frahm Leonardo Ermann Dima L. Shepelyansky |
| author_sort | Klaus M. Frahm |
| collection | DOAJ |
| description | We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that, for a many-body system of cold atoms, the interactions, with a strength above a certain quantum chaos border given by the Åberg criterion, lead to the Fermi−Dirac distribution and relaxation of many-body initial states to the thermalized state in the absence of any contact with a thermostate. We discuss the properties of this dynamical thermalization and its links with the Loschmidt−Boltzmann dispute. |
| first_indexed | 2024-04-13T06:52:47Z |
| format | Article |
| id | doaj.art-fc247b6b56374962b301700d7c974bfc |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-04-13T06:52:47Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-fc247b6b56374962b301700d7c974bfc2022-12-22T02:57:21ZengMDPI AGCondensed Matter2410-38962019-08-01437610.3390/condmat4030076condmat4030076Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator TrapKlaus M. Frahm0Leonardo Ermann1Dima L. Shepelyansky2Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, FranceDepartamento de Física Teórica, GIyA, Comisión Nacional de Energía Atómica, CP1650 Buenos Aires, ArgentinaLaboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, FranceWe study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that, for a many-body system of cold atoms, the interactions, with a strength above a certain quantum chaos border given by the Åberg criterion, lead to the Fermi−Dirac distribution and relaxation of many-body initial states to the thermalized state in the absence of any contact with a thermostate. We discuss the properties of this dynamical thermalization and its links with the Loschmidt−Boltzmann dispute.https://www.mdpi.com/2410-3896/4/3/76quantum chaoscold atomsinteracting fermionsthermalizationdynamical chaosSinai oscillator |
| spellingShingle | Klaus M. Frahm Leonardo Ermann Dima L. Shepelyansky Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap Condensed Matter quantum chaos cold atoms interacting fermions thermalization dynamical chaos Sinai oscillator |
| title | Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap |
| title_full | Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap |
| title_fullStr | Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap |
| title_full_unstemmed | Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap |
| title_short | Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap |
| title_sort | dynamical thermalization of interacting fermionic atoms in a sinai oscillator trap |
| topic | quantum chaos cold atoms interacting fermions thermalization dynamical chaos Sinai oscillator |
| url | https://www.mdpi.com/2410-3896/4/3/76 |
| work_keys_str_mv | AT klausmfrahm dynamicalthermalizationofinteractingfermionicatomsinasinaioscillatortrap AT leonardoermann dynamicalthermalizationofinteractingfermionicatomsinasinaioscillatortrap AT dimalshepelyansky dynamicalthermalizationofinteractingfermionicatomsinasinaioscillatortrap |