Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation
While many phenomena in cold atoms and other Bose–Einstein condensate (BEC) systems are often described using the mean-field approaches, understanding the kinetics of BECs requires the inclusion of particle scattering via the collision integral of the quantum Boltzmann equation. A rigorous approach...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-11-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1257370/full |
| _version_ | 1827668297148006400 |
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| author | Yuli Lyanda-Geller Yuli Lyanda-Geller |
| author_facet | Yuli Lyanda-Geller Yuli Lyanda-Geller |
| author_sort | Yuli Lyanda-Geller |
| collection | DOAJ |
| description | While many phenomena in cold atoms and other Bose–Einstein condensate (BEC) systems are often described using the mean-field approaches, understanding the kinetics of BECs requires the inclusion of particle scattering via the collision integral of the quantum Boltzmann equation. A rigorous approach for many problems in the dynamics of the BEC, such as the nucleation of the condensate or the decay of the persistent current, requires, in the presence of factors making a symmetry breaking possible, considering collisions with thermal atoms via the collision integral. These collisions permit the emergence of vorticity or other signatures of long-range order in the nucleation of the BEC or the transfer of angular momentum to thermal atoms in the decay of persistent current, due to corresponding terms in system Hamiltonians. Here, we also discuss the kinetics of spin–orbit-coupled BEC. The kinetic equation for the particle spin density matrix is derived. Numerical simulations demonstrate significant effects of the collision integral on the dynamics of the spin–orbit-coupled BEC upon quenching of the Raman coupling that generates synthetic electric and magnetic fields. |
| first_indexed | 2024-03-10T03:35:00Z |
| format | Article |
| id | doaj.art-aaeb3112206c412cafa79eb47d335226 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-10T03:35:00Z |
| publishDate | 2023-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-aaeb3112206c412cafa79eb47d3352262023-11-23T11:48:07ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-11-011110.3389/fphy.2023.12573701257370Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equationYuli Lyanda-Geller0Yuli Lyanda-Geller1Department of Physics and Astronomy, Purdue University, West Lafayette, IN, United StatesQuantum Science and Engineering Institute, Purdue University, West Lafayette, IN, United StatesWhile many phenomena in cold atoms and other Bose–Einstein condensate (BEC) systems are often described using the mean-field approaches, understanding the kinetics of BECs requires the inclusion of particle scattering via the collision integral of the quantum Boltzmann equation. A rigorous approach for many problems in the dynamics of the BEC, such as the nucleation of the condensate or the decay of the persistent current, requires, in the presence of factors making a symmetry breaking possible, considering collisions with thermal atoms via the collision integral. These collisions permit the emergence of vorticity or other signatures of long-range order in the nucleation of the BEC or the transfer of angular momentum to thermal atoms in the decay of persistent current, due to corresponding terms in system Hamiltonians. Here, we also discuss the kinetics of spin–orbit-coupled BEC. The kinetic equation for the particle spin density matrix is derived. Numerical simulations demonstrate significant effects of the collision integral on the dynamics of the spin–orbit-coupled BEC upon quenching of the Raman coupling that generates synthetic electric and magnetic fields.https://www.frontiersin.org/articles/10.3389/fphy.2023.1257370/fullBose–Einstein condensationkinetic equationspin–orbit-coupled Bose–Einstein condensatering-shaped Bose–Einstein systemsdecay of current-carrying statesspin current decay |
| spellingShingle | Yuli Lyanda-Geller Yuli Lyanda-Geller Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation Frontiers in Physics Bose–Einstein condensation kinetic equation spin–orbit-coupled Bose–Einstein condensate ring-shaped Bose–Einstein systems decay of current-carrying states spin current decay |
| title | Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation |
| title_full | Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation |
| title_fullStr | Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation |
| title_full_unstemmed | Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation |
| title_short | Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation |
| title_sort | evolution of bose einstein condensate systems beyond the gross pitaevskii equation |
| topic | Bose–Einstein condensation kinetic equation spin–orbit-coupled Bose–Einstein condensate ring-shaped Bose–Einstein systems decay of current-carrying states spin current decay |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1257370/full |
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