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By studying the dynamic stability of Bose-Einstein condensed binary mixtures trapped on the surface of an ideal two-dimensional spherical bubble, we show how the Rabi coupling between the species can modulate the interactions leading to…

Quantum Gases · Physics 2025-11-04 Leonardo Brito , Lauro Tomio , Arnaldo Gammal

We investigate parametric excitation and pattern formation in a harmonically trapped two-component Bose-Einstein condensate. We assume the condensate to be in the miscible phase, but near the miscible-immiscible phase transition, where…

Quantum Physics · Physics 2025-12-16 Meiling Wang , Juan Wang , Yan Li , Franco Dalfovo , Chunlei Qu

We investigate the spin Faraday pattern formation in a periodically driven, pancake-shaped spin-orbit-coupled (SOC) Bose-Einstein condensate (BEC) prepared with stripe phase. By modulating atomic interactions using in-phase and out-of-phase…

Quantum Gases · Physics 2025-12-16 Shixiang Chen , Hongguang Liang , Juan Wang , Yan Li

We study the Faraday patterns generated by spin-orbit-coupling induced parametric resonance in a spinor Bose-Einstein condensate with repulsive interaction. The collective elementary excitations of the Bose-Einstein condensate, including…

Quantum Gases · Physics 2022-06-22 Huan Zhang , Sheng Liu , Yongsheng Zhang

Faraday waves in a cigar-shaped Bose-Einstein condensate are created. It is shown that periodically modulating the transverse confinement, and thus the nonlinear interactions in the BEC, excites small amplitude longitudinal oscillations…

Other Condensed Matter · Physics 2007-05-23 P. Engels , C. Atherton , M. A. Hoefer

The onset of pattern formation in a spatially homogeneous system subjected to external driving is an important topic in various scientific fields. A celebrated classical example is the Faraday instability, where a vertically oscillated…

Temporal periodic modulation of the interatomic s-wave scattering length in Bose-Einstein condensates is shown to excite subharmonic patterns of atom density through a parametric resonance. The dominating wavelength of the spatial…

Statistical Mechanics · Physics 2009-11-07 Kestutis Staliunas , Stefano Longhi , German J. de Valcarcel

We consider the interaction between a single-mode quantized perturbing external field and a Bose-Einstein condensate (BEC) out of equilibrium. The usual Rabi type oscillations between the ground and the excited state of the coherent…

Statistical Mechanics · Physics 2009-11-11 Aranya B Bhattacherjee , Vikash Ranjan , Man Mohan

We numerically study the dynamics of Faraday waves in a pancake-shaped Bose--Einstein condensate (BEC) subject to periodic modulation of the interaction. After the modulation starts, Faraday waves appear and, thereafter, the BEC enters the…

Quantum Gases · Physics 2021-02-18 Kasumi Okazaki , Junsik Han , Makoto Tsubota

Motivated by recent experiments on Faraday waves in Bose Einstein condensates (BEC) we investigate the dynamics of two component cigar shaped BEC subject to periodic modulation of the strength of the transverse confinement. It is shown that…

Other Condensed Matter · Physics 2009-12-02 Aranya B. Bhattacherjee

Pattern formation is ubiquitous in nature from morphogenesis and cloud formation to galaxy filamentation. More often than not, patterns arise in a medium driven far from equilibrium due to the interplay of dynamical instability and…

Quantum Gases · Physics 2020-06-30 Zhendong Zhang , Kai-Xuan Yao , Lei Feng , Jiazhong Hu , Cheng Chin

It is shown that spin-orbit interaction leads to drastic changes in wave patterns generated by a flow of two-component Bose-Einstein condensate (BEC) past an obstacle. The combined Rashba and Dresselhaus spin-orbit interaction affects in…

Quantum Gases · Physics 2015-06-18 Y. V. Kartashov , A. M. Kamchatnov

Faraday and resonant density waves emerge in Bose-Einstein condensates as a result of harmonic driving of the system. They represent nonlinear excitations and are generated due to the interaction-induced coupling of collective oscillation…

Quantum Gases · Physics 2019-09-11 Dusan Vudragovic , Antun Balaz

We study the emergence of density waves in dipolar Bose-Einstein condensates (BEC) when the strength of dipole-dipole atomic interactions is periodically varied in time. The proposed theoretical model, based on the evolution of small…

Quantum Gases · Physics 2020-05-20 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev

Using a time-dependent linear (Rabi) coupling between the components of a weakly interacting multicomponent Bose-Einstein condensate (BEC), we propose a protocol for transferring the wavefunction of one component to the other. This "Rabi…

Other Condensed Matter · Physics 2008-11-21 H. E. Nistazakis , Z. Rapti , D. J. Frantzeskakis , P. G. Kevrekidis , P. Sodano , A. Trombettoni

We show by extensive numerical simulations and analytical variational calculations that elongated binary non-miscible Bose-Einstein condensates subject to periodic modulations of the radial confinement exhibit a Faraday instability similar…

Quantum Gases · Physics 2012-12-20 Antun Balaz , Alexandru I. Nicolin

We study Faraday and resonant waves in two-component quasi-one-dimensional (cigar-shaped) collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. We show by means of extensive…

A Faraday-wave-like parametric instability is investigated via mean-field and Floquet analysis in immiscible binary Bose-Einstein condensates. The condensates form a so-called \textit{ball-shell} structure in a two-dimensional harmonic…

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…

Quantum Gases · Physics 2016-01-20 Fatkhulla Kh. Abdullaev , Arnaldo Gammal , Lauro Tomio

We numerically study the dynamics of Faraday waves for Bose-Einstein condensates(BECs) trapped by anisotropic potentials using the three-dimensional Gross-Pitaevskii equation. In previous studies, Faraday waves were excited by periodic…

Quantum Gases · Physics 2023-05-25 Nobuyuki Shukuno , Yuto Sano , Makoto Tsubota
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