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We extend the earlier model of condensate growth of Davis et al [Davis MJ, Gardiner CW and Ballagh RJ 2000, Phys. Rev. A 62, 063608] to include the effect of gravity in a magnetic trap. We carry out calculations to model the experiment…

Condensed Matter · Physics 2009-11-07 MJ Davis , CW Gardiner

We investigate the ground-state phases and spin-scissors dynamics of binary Bose-Einstein condensates confined in a twisted two-dimensional harmonic trap. The ground state hosts three distinct phases-phase-separated, polarized, and…

Quantum Gases · Physics 2025-09-16 Huaxin He , Fengtao Pang , Xianchao Zhang , Yongping Zhang , Chunlei Qu

We study the dynamics of two interacting Bose-Einstein condensates, by numerically solving two coupled Gross-Pitaevskii equations at zero temperature. We consider the case of a sudden transfer of atoms between two trapped states with…

Condensed Matter · Physics 2009-10-31 M. Modugno , F. Dalfovo , C. Fort , P. Maddaloni , F. Minardi

We study the sensitivity of coupled condensate formation dynamics on the history of initial stochastic domain formation in the context of instantaneously quenched elongated harmonically-trapped immiscible two-component atomic Bose gases.…

We report the formation of a dual-species Bose-Einstein condensate of $^{87}$Rb and $^{133}$Cs in the same trapping potential. Our method exploits the efficient sympathetic cooling of $^{133}$Cs via elastic collisions with $^{87}$Rb,…

Atomic Physics · Physics 2011-08-09 D. J. McCarron , H. W. Cho , D. L. Jenkin , M. P. Köppinger , S. L. Cornish

A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a…

Quantum Physics · Physics 2014-06-12 Andreas Löhle , Holger Cartarius , Daniel Haag , Dennis Dast , Jörg Main , Günter Wunner

We study theoretically Bose-Einstein condensates with polarized dipolar interactions in anisotropic traps. We map the parameter space by varying the trap frequencies and dipolar interaction strengths and find an irregular-shaped region of…

Quantum Gases · Physics 2012-11-28 A. D. Martin , P. B. Blakie

In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose-Einstein condensates in one- and two-dimensional settings. In particular, we illustrate the trapping conditions that allow the…

Other Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , D. J. Frantzeskakis

Bose-Einstein condensates in a double-well potential contain the essential ingredients to study many-body systems within a rich classical phase-space that includes an unstable point and a separatrix. Employing a selfconsistent finite…

Quantum Physics · Physics 2025-02-28 D. J. Nader , E. Serrano-Ensástiga

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

The theory of Bose-Einstein condensation in a two-dimensional(2D) harmonic trap is developed from 2D Gross-Pitaevskii equation. The 2D interaction strength is obtained from a 2D collision theory. We show the realization of 2D condensation…

Statistical Mechanics · Physics 2016-08-31 Sang-Hoon Kim , Changyeon Won , Sung Dahm Oh , Wonho Jhe

We theoretically investigate quadrupolar collective excitations in two-component Bose-Einstein condensates and their nonlinear dynamics associated with harmonic generation and mode coupling. Under the Thomas-Fermi approximation and the…

Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose--Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the…

Quantum Gases · Physics 2022-06-29 Victor P. Ruban

A Bose-Einstein condensate of atoms with attractive interactions exhibits growth and collapse cycles, when it is fed by a thermal cloud. Recently this phenomenon has been directly observed in a trapped Li-7 gas. We offer a quantitative…

Soft Condensed Matter · Physics 2007-05-23 Kerson Huang

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic…

Soft Condensed Matter · Physics 2009-11-07 F. Kh. Abdullaev , J. C. Bronski , R. M. Galimzyanov

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

We report on experiments that demonstrate dynamical instability in a Bose-Einstein condensate at the band-edge of a one-dimensional optical lattice. The instability manifests as rapid depletion of the condensate and conversion to a thermal…

Other Condensed Matter · Physics 2009-11-13 Andrew J. Ferris , Matthew J. Davis , Reece W. Geursen , P. Blair Blakie , Andrew C. Wilson

We perform a mean-field study of the binary Bose-Einstein condensate mixtures as a function of the mutual repulsive interaction strength. In the phase segregated regime, we find that there are two distinct phases: the weakly segregated…

Condensed Matter · Physics 2009-10-31 P. Ao , S. T. Chui

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

We present experimental observations and numerical simulations of nonequilibrium spatial structures in a trapped Bose-Einstein condensate subject to oscillatory perturbations. In experiment, first, there appear collective excitations,…

Quantum Gases · Physics 2015-06-22 V. I. Yukalov , A. N. Novikov , V. S. Bagnato