Cloud parameter estimation for interacting BEC after time-of-flight
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909992664170496 |
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| author | Andersen, Rasmus Malthe Fiil Frederiksen, Stine Stokholm, Laurits Zebergs, Ilja Kristensen, Mick Weidner, Carrie Arlt, Jan Joachim |
| author_facet | Andersen, Rasmus Malthe Fiil Frederiksen, Stine Stokholm, Laurits Zebergs, Ilja Kristensen, Mick Weidner, Carrie Arlt, Jan Joachim |
| contents | Experiments on Bose-Einstein condensates at finite temperature typically extract the system parameters, such as temperature, atom number, and condensed fraction from time-of-flight images taken after a free expansion time. This paper systematically examines the effect of repulsive interactions between the condensed and thermal atoms in partially condensed clouds on the expansion profile of the thermal cloud. An analytical expression for the expansion can be obtained only if the interactions between the Bose-Einstein condensate and thermal atoms are neglected, resulting in a Bose-enhanced distribution for the thermal component. Here, the deformation of the cloud due to interactions and the effects on estimated parameters are investigated by simulating the expansion using a ballistic approximation. By fitting the simulated expansion profiles with a Bose-enhanced distribution, the errors of using such a fit are estimated, and the results are explained phenomenologically. The simulation was also used as a fitting function for experimental data, showing better agreement of the extracted condensed fraction with the semi-ideal model than results from a Bose-enhanced fit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10415 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cloud parameter estimation for interacting BEC after time-of-flight Andersen, Rasmus Malthe Fiil Frederiksen, Stine Stokholm, Laurits Zebergs, Ilja Kristensen, Mick Weidner, Carrie Arlt, Jan Joachim Quantum Gases Atomic Physics Quantum Physics Experiments on Bose-Einstein condensates at finite temperature typically extract the system parameters, such as temperature, atom number, and condensed fraction from time-of-flight images taken after a free expansion time. This paper systematically examines the effect of repulsive interactions between the condensed and thermal atoms in partially condensed clouds on the expansion profile of the thermal cloud. An analytical expression for the expansion can be obtained only if the interactions between the Bose-Einstein condensate and thermal atoms are neglected, resulting in a Bose-enhanced distribution for the thermal component. Here, the deformation of the cloud due to interactions and the effects on estimated parameters are investigated by simulating the expansion using a ballistic approximation. By fitting the simulated expansion profiles with a Bose-enhanced distribution, the errors of using such a fit are estimated, and the results are explained phenomenologically. The simulation was also used as a fitting function for experimental data, showing better agreement of the extracted condensed fraction with the semi-ideal model than results from a Bose-enhanced fit. |
| title | Cloud parameter estimation for interacting BEC after time-of-flight |
| topic | Quantum Gases Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2601.10415 |