Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate
We study the breathing (monopole) oscillations and their damping in a harmonically trapped one-dimensional (1D) Bose gas in the quasicondensate regime using a finite-temperature classical field approach. By characterising the oscillations via the dynamics of the density profile’s rms width over long...
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Académie des sciences
2023-03-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.131/ |
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| author | Bayocboc, Jr., Francis A. Kheruntsyan, Karen V. |
| author_facet | Bayocboc, Jr., Francis A. Kheruntsyan, Karen V. |
| author_sort | Bayocboc, Jr., Francis A. |
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| description | We study the breathing (monopole) oscillations and their damping in a harmonically trapped one-dimensional (1D) Bose gas in the quasicondensate regime using a finite-temperature classical field approach. By characterising the oscillations via the dynamics of the density profile’s rms width over long time, we find that the rms width displays beating of two distinct frequencies. This means that the 1D Bose gas oscillates not at a single breathing mode frequency, as found in previous studies, but as a superposition of two distinct breathing modes, one oscillating at frequency close to $\simeq \!\sqrt{3}\omega $ and the other at $\simeq \!2\omega $, where $\omega $ is the trapping frequency. The breathing mode at $\sim \!\sqrt{3}\omega $ dominates the beating at lower temperatures, deep in the quasicondensate regime, and can be attributed to the oscillations of the bulk of the density distribution comprised of particles populating low-energy, highly-occupied states. The breathing mode at $\simeq \!2\omega $, on the other hand, dominates the beating at higher temperatures, close to the nearly ideal, degenerate Bose gas regime, and is attributed to the oscillations of the tails of the density distribution comprised of thermal particles in higher energy states. The two breathing modes have distinct damping rates, with the damping rate of the bulk component being approximately four times larger than that of the tails component. |
| format | Article |
| id | doaj-art-7ea4f6ab1c7c41bf92470c4c8fa95ecb |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Académie des sciences |
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| spelling | doaj-art-7ea4f6ab1c7c41bf92470c4c8fa95ecb2025-02-07T13:53:11ZengAcadémie des sciencesComptes Rendus. Physique1878-15352023-03-0124S3153810.5802/crphys.13110.5802/crphys.131Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensateBayocboc, Jr., Francis A.0Kheruntsyan, Karen V.1https://orcid.org/0000-0001-5813-3621School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, AustraliaSchool of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, AustraliaWe study the breathing (monopole) oscillations and their damping in a harmonically trapped one-dimensional (1D) Bose gas in the quasicondensate regime using a finite-temperature classical field approach. By characterising the oscillations via the dynamics of the density profile’s rms width over long time, we find that the rms width displays beating of two distinct frequencies. This means that the 1D Bose gas oscillates not at a single breathing mode frequency, as found in previous studies, but as a superposition of two distinct breathing modes, one oscillating at frequency close to $\simeq \!\sqrt{3}\omega $ and the other at $\simeq \!2\omega $, where $\omega $ is the trapping frequency. The breathing mode at $\sim \!\sqrt{3}\omega $ dominates the beating at lower temperatures, deep in the quasicondensate regime, and can be attributed to the oscillations of the bulk of the density distribution comprised of particles populating low-energy, highly-occupied states. The breathing mode at $\simeq \!2\omega $, on the other hand, dominates the beating at higher temperatures, close to the nearly ideal, degenerate Bose gas regime, and is attributed to the oscillations of the tails of the density distribution comprised of thermal particles in higher energy states. The two breathing modes have distinct damping rates, with the damping rate of the bulk component being approximately four times larger than that of the tails component.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.131/Ultracold AtomsDynamics of 1D Bose GasesClassical Field SimulationsBreathing Mode OscillationsDamping of Collective Oscillations |
| spellingShingle | Bayocboc, Jr., Francis A. Kheruntsyan, Karen V. Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate Comptes Rendus. Physique Ultracold Atoms Dynamics of 1D Bose Gases Classical Field Simulations Breathing Mode Oscillations Damping of Collective Oscillations |
| title | Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate |
| title_full | Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate |
| title_fullStr | Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate |
| title_full_unstemmed | Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate |
| title_short | Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate |
| title_sort | frequency beating and damping of breathing oscillations of a harmonically trapped one dimensional quasicondensate |
| topic | Ultracold Atoms Dynamics of 1D Bose Gases Classical Field Simulations Breathing Mode Oscillations Damping of Collective Oscillations |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.131/ |
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