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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

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

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

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

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 study the emergence of Faraday waves in cigar-shaped collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. Considering a Gaussian-shaped radially inhomogeneous scattering length,…

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…

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 investigate nonlinear dynamics induced by the modulation instability of a two-component mixture in an atomic Bose-Einstein condensate. The nonlinear dynamics is examined using numerical simulations of the time-dependent coupled…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Makoto Tsubota

We study theoretically the superfluidity and stability of a Bose-Einstein condensate (BEC) whose interatomic scattering length is periodically modulated with optical Feshbach resonance. Our numerical study finds that the properties of this…

Quantum Gases · Physics 2013-02-08 Shao-Liang Zhang , Zheng-Wei Zhou , Biao Wu

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

In this paper we give a frame for application of the averaging method to Bose-Einstein condensates (BECs) and obtain an abstract result upon the dynamics of BECs. Using aver- aging method, we determine the location where the modulated…

Chaotic Dynamics · Physics 2015-05-27 Qihuai Liu , Dingbian Qian

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…

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 modulational instability of matter-waves in Bose-Einstein condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an optical lattice and homogeneous BEC are considered in the framework of the Gross-Pitaevskii…

Other Condensed Matter · Physics 2008-12-15 F. Kh. Abdullaev , A. A. Abdumalikov , R. M. Galimzyanov

The aim of the present review is to introduce the reader to some of the physical notions and of the mathematical methods that are relevant to the study of nonlinear waves in Bose-Einstein Condensates (BECs). Upon introducing the general…

Other Condensed Matter · Physics 2010-12-10 R. Carretero-Gonzalez , D. J. Frantzeskakis , P. G. Kevrekidis

We explore, both experimentally and theoretically, the response of an elongated Bose-Einstein condensate to modulated interactions. We identify two distinct regimes differing in modulation frequency and modulation strength. Longitudinal…

Quantum Gases · Physics 2019-04-03 J. H. V. Nguyen , M. C. Tsatsos , D. Luo , A. U. J. Lode , G. D. Telles , V. S. Bagnato , R. G. Hulet

Spontaneous pattern formation out of homogeneous media is one of the well-understood examples of hydrodynamic instabilities in classical systems, which naturally leads to the question of its manifestation in quantum fluids. Bose-Einstein…

Quantum Gases · Physics 2026-01-12 Kiryang Kwon , Jae-yoon Choi

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

The interaction between atoms in a two-component Bose-Einstein condensate (BEC) is effectively modulated by the Rabi oscillation. This periodic modulation of the effective interaction is shown to generate Faraday patterns through parametric…

Quantum Gases · Physics 2019-12-11 Terun Chen , Kosuke Shibata , Yujiro Eto , Takuya Hirano , Hiroki Saito
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