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: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
IOP Publishing
2015
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| Subjects: | |
| Online Access: | 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 |
| Summary: | 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. |
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