Faraday waves in Bose–Einstein condensates with engineering three-body interactions
We consider Bose–Einstein condensates with two- and three-body interactions periodically varying in time. Two models of time-dependent three-body interactions, with quadratic and quartic dependence on the two-body atomic scattering length as, are studied. It is shown that parametric instabilities...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
IOP Publishing
2015
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/47594/ http://irep.iium.edu.my/47594/1/2016-jpb.pdf http://irep.iium.edu.my/47594/3/47594_Faraday%20waves%20in%20Bose-Einstein%20condensates_scopus.pdf |
| _version_ | 1848783171645079552 |
|---|---|
| author | Abdullaev, Fatkhulla Gammal, A Tomio, Lauro |
| author_facet | Abdullaev, Fatkhulla Gammal, A Tomio, Lauro |
| author_sort | Abdullaev, Fatkhulla |
| building | IIUM Repository |
| collection | Online Access |
| description | We consider Bose–Einstein condensates with two- and three-body interactions periodically
varying in time. Two models of time-dependent three-body interactions, with quadratic and
quartic dependence on the two-body atomic scattering length as, are studied. It is shown that
parametric instabilities in the condensate lead to the generation of Faraday waves (FWs), with
wavelengths depending on the background scattering length, as well as on the frequency and
amplitude of the modulations of as. From an experimental perspective, this opens a new
possibility to tune the period of Faraday patterns by varying not only the frequency of
modulations and background scattering length, but also the amplitude of the modulations. The
latter effect can be used to estimate the parameters of three-body interactions from the FW
experimental results. Theoretical predictions are confirmed by numerical simulations of the
corresponding extended Gross–Pitaevskii equation. |
| first_indexed | 2025-11-14T16:17:07Z |
| format | Article |
| id | iium-47594 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:17:07Z |
| publishDate | 2015 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-475942017-10-21T00:41:00Z http://irep.iium.edu.my/47594/ Faraday waves in Bose–Einstein condensates with engineering three-body interactions Abdullaev, Fatkhulla Gammal, A Tomio, Lauro QC Physics We consider Bose–Einstein condensates with two- and three-body interactions periodically varying in time. Two models of time-dependent three-body interactions, with quadratic and quartic dependence on the two-body atomic scattering length as, are studied. It is shown that parametric instabilities in the condensate lead to the generation of Faraday waves (FWs), with wavelengths depending on the background scattering length, as well as on the frequency and amplitude of the modulations of as. From an experimental perspective, this opens a new possibility to tune the period of Faraday patterns by varying not only the frequency of modulations and background scattering length, but also the amplitude of the modulations. The latter effect can be used to estimate the parameters of three-body interactions from the FW experimental results. Theoretical predictions are confirmed by numerical simulations of the corresponding extended Gross–Pitaevskii equation. IOP Publishing 2015-12 Article PeerReviewed application/pdf en http://irep.iium.edu.my/47594/1/2016-jpb.pdf application/pdf en http://irep.iium.edu.my/47594/3/47594_Faraday%20waves%20in%20Bose-Einstein%20condensates_scopus.pdf Abdullaev, Fatkhulla and Gammal, A and Tomio, Lauro (2015) Faraday waves in Bose–Einstein condensates with engineering three-body interactions. Journal of Physics B: Atomic, Molecular and Optical Physics, 49 (2). pp. 1-12. ISSN 0953-4075 http://iopscience.iop.org/0953-4075/ 10.1088/0953-4075/49/2/025302 |
| spellingShingle | QC Physics Abdullaev, Fatkhulla Gammal, A Tomio, Lauro Faraday waves in Bose–Einstein condensates with engineering three-body interactions |
| title | Faraday waves in Bose–Einstein
condensates with engineering three-body
interactions |
| title_full | Faraday waves in Bose–Einstein
condensates with engineering three-body
interactions |
| title_fullStr | Faraday waves in Bose–Einstein
condensates with engineering three-body
interactions |
| title_full_unstemmed | Faraday waves in Bose–Einstein
condensates with engineering three-body
interactions |
| title_short | Faraday waves in Bose–Einstein
condensates with engineering three-body
interactions |
| title_sort | faraday waves in bose–einstein
condensates with engineering three-body
interactions |
| topic | QC Physics |
| url | http://irep.iium.edu.my/47594/ http://irep.iium.edu.my/47594/ http://irep.iium.edu.my/47594/ http://irep.iium.edu.my/47594/1/2016-jpb.pdf http://irep.iium.edu.my/47594/3/47594_Faraday%20waves%20in%20Bose-Einstein%20condensates_scopus.pdf |