Parametric excitations in a harmonically trapped binary Bose-Einstein condensate
Year: 2025
Authors: Wang ML., Wang J., Li Y., Dalfovo F., Qu CL.
Autors Affiliation: East China Normal Univ, Sch Phys & Elect Sci, Dept Phys, Shanghai 200241, Peoples R China; Chongqing Inst East China Normal Univ, Chongqing Key Lab Precis Opt, Chongqing 401120, Peoples R China; Univ Trento, Pitaevskii BEC Ctr, CNR INO, via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, via Sommar 14, I-38123 Trento, Italy; Stevens Inst Technol, Dept Phys, 1 Castle Point Terrace, Hoboken, NJ 07030 USA; Stevens Inst Technol, Ctr Quantum Sci & Engn, 1 Castle Point Terrace, Hoboken, NJ 07030 USA.
Abstract: We investigate parametric excitation and pattern formation in a harmonically trapped two-component BoseEinstein condensate. We assume the condensate to be in the miscible phase, but near the miscible-immiscible phase transition, where total-density and spin-density excitations are decoupled. By periodically modulating the atomic scattering lengths, Faraday patterns can be generated in both density and spin channels. In an elongated condensate, the pattern in the spin channel corresponds to a one-dimensional standing wave with the two components exhibiting an out-of-phase density oscillation, where the modulation frequency and the oscillation period are related to the velocity of the spin sound. After the spin pattern is fully developed, the system quickly enters a nonlinear destabilization regime. For a pancake-shaped condensate, a two-dimensional Faraday pattern is generated with an interesting l-fold rotational symmetry. The number of nodes along the radial and angular directions increases with larger modulation frequencies. We also compare the growth rates of spin Faraday patterns generated with different modulation protocols, which are accessible to current experiments.
Journal/Review: PHYSICAL REVIEW A
Volume: 112 (6) Pages from: 63303-1 to: 63303-10
More Information: M.W., J.W., and Y.L. are supported by the National Key Research and Development Program of China (Grant No. 2025Y FF0515200) , the National Natural Science Foundation of China (Grants No. 11774093 and No. 12074120) , the Natural Science Foundation of Shanghai (Grant No. 23ZR118700) , the Innovation Program of Shanghai Municipal Education Commission (Grant No. 202101070008E00099) , and the Pro-gram of Chongqing Natural Science Foundation (Grant No. CSTB2022NSCQMSX0585) . C.Q. is supported by ACC-New Jersey under Contract No. W15QKN-18-D-0040. F.D. is sup-ported by Provincia Autonoma di Trento.KeyWords: Pattern-formationDOI: 10.1103/rj7v-q9gy
