Faraday waves in BEC with engineering three-body interactions

Abstract

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 $a_s$, are studied. It is shown that parametric instabilities in the condensate leads to the generation of Faraday waves (FW), with wavelengths depending on the background scattering length, as well as on the frequency and amplitude of the modulations of $a_s$. In 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 through 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.

19 pages, 11 figures, to appear in J.Phys.B

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Cited by in corpus (5)

• Solitons and Josephson-type oscillations in Bose-Einstein condensates with spin-orbit coupling and time-varying Raman frequency
• Faraday patterns in spin-orbit coupled Bose-Einstein condensates
• Generation of density waves in dipolar quantum gases by time-periodic modulation of atomic interactions
• Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
• Faraday waves on a bubble Bose-Einstein condensed binary mixture