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The simplest model of three coupled Bose-Einstein Condensates (BEC) is investigated using a group theoretical method. The stationary solutions are determined using the SU(3) group under the mean field approximation. This semiclassical…

Quantum Physics · Physics 2009-11-06 K. Nemoto , C. A. Holmes , G. J. Milburn , W. J. Munro

We study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly…

Other Condensed Matter · Physics 2009-09-29 Uttam Shrestha

The motto of this paper is: Let's face Bose-Einstein condensation through nonlinear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose-Einstein condensates…

Quantum Physics · Physics 2010-01-12 G. Wunner , H. Cartarius , T. Fabčič , P. Köberle , J. Main , T. Schwidder

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

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

Condensed Matter · Physics 2009-10-30 Tomoya Isoshima , Kazushige Machida

When a Bose-Einstein condensate (BEC) is driven out of equilibrium, density waves interact non-linearly and trigger turbulent cascades. In a turbulent BEC, energy is transferred towards small scales by a direct cascade, whereas the number…

Quantum Gases · Physics 2023-04-05 Ying Zhu , Boris Semisalov , Giorgio Krstulovic , Sergey Nazarenko

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

We analyze the model of an atomic Bose-Einstein condensate (BEC) parametrically coupled to a molecular BEC via a photoassociation process. We show that an interplay of nonlinear inter- and intra-species interactions leads to the formation…

Condensed Matter · Physics 2021-05-26 Benedict J. Cusack , Tristram J. Alexander , Elena A. Ostrovskaya , Yuri S. Kivshar

We observe the breakup dynamics of an elongated cloud of condensed $^{85}$Rb atoms placed in an optical waveguide. The number of localized spatial components observed in the breakup is compared with the number of solitons predicted by a…

We consider a Bose-Einstein condensate (BEC), which is characterized by long-range and anisotropic dipole-dipole interactions and vanishing s-wave scattering length, in a double-well potential. The properties of this system are investigated…

Quantum Gases · Physics 2015-05-14 M. Asad-uz-Zaman , D. Blume

The dynamics of matter-wave solitons in Bose-Einstein condensates (BEC) is considerably affected by the presence of a surrounding thermal cloud and by condensate depletion during its evolution. We analyze these aspects of BEC soliton…

Other Condensed Matter · Physics 2009-11-11 H. Buljan , M. Segev , A. Vardi

The focusing of a propagating untrapped Bose-Einstein condensate is studied theoretically. We use a scaling solution method comprising a time-dependent scaling function to analytically examine the dynamics of a falling Bose-Einstein…

Quantum Gases · Physics 2021-12-14 R. Richberg , A. M. Martin

We demonstrate a spatially resolved autocorrelation measurement with a Bose-Einstein condensate (BEC) and measure the evolution of the spatial profile of its quantum mechanical phase. Upon release of the BEC from the magnetic trap, its…

This study investigates the emergence of chaotic dynamics in Bose-Einstein condensates (BECs) subjected to both alternating (AC) and constant (DC) components of the interaction strength, modeled through the scattering length. We…

Quantum Physics · Physics 2025-06-03 C. Selvaraju , S. Sabari , O. T. Lekeufack , F. Kenmogne , N. Athavan

It is investigated theoretically that magnetized Bose-Einstein condensation (BEC) with the internal (spin) degrees of freedom exhibits a rich variety of phase transitions, depending on the sign of the interaction in the spin channel. In the…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Tetsuo Ohmi , Kazushige Machida

We discuss how to engineer the phase and amplitude of a complex order parameter using localized dissipative perturbations. Our results are applied to generate and control various types of atomic nonlinear matter waves (solitons) by means of…

Other Condensed Matter · Physics 2011-07-05 Valeriy A. Brazhnyi , Vladimir V. Konotop , Victor M. Perez-Garcia , Herwig Ott

Emission of matter-wave jets from a parametrically driven condensate has attracted significant experimental and theoretical attention due to the appealing visual effects and potential metrological applications. In this work, we investigate…

Quantum Gases · Physics 2024-09-02 L. Q. Lai , Z. Li

Motivated by recent experiments on Faraday waves in Bose-Einstein condensates we investigate both analytically and numerically the dynamics of cigar-shaped Bose-condensed gases subject to periodic modulation of the strength of the…

Other Condensed Matter · Physics 2010-12-10 Alexandru I. Nicolin , R. Carretero-Gonzalez , P. G. Kevrekidis

The dynamical behavior of matter wave solitons of two-component Bose-Einstein condensates (BEC) in combined linear and nonlinear optical lattices (OLs) is investigated. In particular, the dependence of the frequency of the oscillating…

Quantum Gases · Physics 2015-06-04 Golam Ali Sekh , Mario Salerno , Aparna Saha , Benoy Talukdar

We study numerically the coupling between a qubit and a Bose-Einstein condensate (BEC) moving in a kicked optical lattice, using Gross-Pitaevskii equation. In the regime where the BEC size is smaller than the lattice period, the chaotic…

Statistical Mechanics · Physics 2009-06-16 J. Martin , B. Georgeot , D. L. Shepelyansky