The cross-over from Townes solitons to droplets in a 2D Bose mixture
When two Bose–Einstein condensates—labelled 1 and 2—overlap spatially, the equilibrium state of the system depends on the miscibility criterion for the two fluids. Here, we theoretically focus on the non-miscible regime in two spatial dimensions and explore the properties of the localized wave packe...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acaee3 |
| _version_ | 1827871474096013312 |
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| author | B Bakkali-Hassani C Maury S Stringari S Nascimbene J Dalibard J Beugnon |
| author_facet | B Bakkali-Hassani C Maury S Stringari S Nascimbene J Dalibard J Beugnon |
| author_sort | B Bakkali-Hassani |
| collection | DOAJ |
| description | When two Bose–Einstein condensates—labelled 1 and 2—overlap spatially, the equilibrium state of the system depends on the miscibility criterion for the two fluids. Here, we theoretically focus on the non-miscible regime in two spatial dimensions and explore the properties of the localized wave packet formed by the minority component 2 when immersed in an infinite bath formed by component 1. We address the zero-temperature regime and describe the two-fluid system by coupled classical field equations. We show that such a wave packet exists only for an atom number N _2 above a threshold value corresponding to the Townes soliton state. We identify the regimes where this localized state can be described by an effective single-field equation up to the droplet case, where component 2 behaves like an incompressible fluid. We study the near-equilibrium dynamics of the coupled fluids, which reveals specific parameter ranges for the existence of localized excitation modes. |
| first_indexed | 2024-03-12T16:09:39Z |
| format | Article |
| id | doaj.art-8d418bbcef674493aa2087ee9bdc6a72 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:09:39Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-8d418bbcef674493aa2087ee9bdc6a722023-08-09T14:11:02ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125101300710.1088/1367-2630/acaee3The cross-over from Townes solitons to droplets in a 2D Bose mixtureB Bakkali-Hassani0C Maury1S Stringari2S Nascimbene3https://orcid.org/0000-0002-3931-9436J Dalibard4J Beugnon5https://orcid.org/0000-0003-1701-8533Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL University, Sorbonne Université , 11 Place Marcelin Berthelot, 75005 Paris, FranceLaboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL University, Sorbonne Université , 11 Place Marcelin Berthelot, 75005 Paris, FrancePitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento , Trento 38123, Italy; Trento Institute for Fundamental Physics and Applications , INFNLaboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL University, Sorbonne Université , 11 Place Marcelin Berthelot, 75005 Paris, FranceLaboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL University, Sorbonne Université , 11 Place Marcelin Berthelot, 75005 Paris, FranceLaboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL University, Sorbonne Université , 11 Place Marcelin Berthelot, 75005 Paris, FranceWhen two Bose–Einstein condensates—labelled 1 and 2—overlap spatially, the equilibrium state of the system depends on the miscibility criterion for the two fluids. Here, we theoretically focus on the non-miscible regime in two spatial dimensions and explore the properties of the localized wave packet formed by the minority component 2 when immersed in an infinite bath formed by component 1. We address the zero-temperature regime and describe the two-fluid system by coupled classical field equations. We show that such a wave packet exists only for an atom number N _2 above a threshold value corresponding to the Townes soliton state. We identify the regimes where this localized state can be described by an effective single-field equation up to the droplet case, where component 2 behaves like an incompressible fluid. We study the near-equilibrium dynamics of the coupled fluids, which reveals specific parameter ranges for the existence of localized excitation modes.https://doi.org/10.1088/1367-2630/acaee3Townes solitonquantum gas mixturesself-evaporationexcitation modesdroplets |
| spellingShingle | B Bakkali-Hassani C Maury S Stringari S Nascimbene J Dalibard J Beugnon The cross-over from Townes solitons to droplets in a 2D Bose mixture New Journal of Physics Townes soliton quantum gas mixtures self-evaporation excitation modes droplets |
| title | The cross-over from Townes solitons to droplets in a 2D Bose mixture |
| title_full | The cross-over from Townes solitons to droplets in a 2D Bose mixture |
| title_fullStr | The cross-over from Townes solitons to droplets in a 2D Bose mixture |
| title_full_unstemmed | The cross-over from Townes solitons to droplets in a 2D Bose mixture |
| title_short | The cross-over from Townes solitons to droplets in a 2D Bose mixture |
| title_sort | cross over from townes solitons to droplets in a 2d bose mixture |
| topic | Townes soliton quantum gas mixtures self-evaporation excitation modes droplets |
| url | https://doi.org/10.1088/1367-2630/acaee3 |
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