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We derive the equations for the non-linear effective dynamics of a so called pseudo-spinor Bose-Einstein condensate, which emerges from the linear many-body Schr\"odinger equation at the leading order in the number of particles. The…

数学物理 · 物理学 2017-10-19 Alessandro Michelangeli , Alessandro Olgiati

In an atomic Bose-Einstein condensate quenched to the unitary regime, we predict the sequential formation of a significant fraction of condensed pairs and triples. At short-distances, we demonstrate the two-body and Efimovian character of…

We consider an ultracold dipolar Bose gas in a one-dimensional lattice. For a sufficiently large lattice recoil energy, such a system becomes a series of non-overlapping Bose-Einstein condensates that interact via the long-range…

量子气体 · 物理学 2015-05-20 Ryan M. Wilson , John L. Bohn

The Bogoliubov equations are solved for a three-dimensional Bose-Einstein condensate containing a doubly quantized vortex, trapped in a harmonic potential. Complex frequencies, signifying dynamical instability, are found for certain ranges…

其他凝聚态物理 · 物理学 2009-11-11 Emil Lundh , Halvor M. Nilsen

We study stationary clusters of vortices and antivortices in dilute pancake-shaped Bose-Einstein condensates confined in nonrotating harmonic traps. Previous theoretical results on the stability properties of these topologically nontrivial…

统计力学 · 物理学 2009-11-13 V. Pietila , M. Mottonen , T. Isoshima , J. A. M. Huhtamaki , S. M. M. Virtanen

In this paper, we study the stability of three-dimensional Bose-Einstein condensates of finite temperatures at which both elastic and inelastic collisions are taken into account. The modeled governing Gross-Pitaevski equation reveals…

量子气体 · 物理学 2025-04-08 R. Sasireka , O. T. Lekeufack , S. Sabari , A. Uthayakumar

The stability of doubly quantized vortices in dilute Bose-Einstein condensates of 23Na is examined at zero temperature. The eigenmode spectrum of the Bogoliubov equations for a harmonically trapped cigar-shaped condensate is computed and it…

软凝聚态物质 · 物理学 2009-11-10 M. Mottonen , T. Mizushima , T. Isoshima , M. M. Salomaa , K. Machida

We have achieved the first full implementation of the stochastic projected Gross-Pitaevskii equation for a three-dimensional trapped Bose gas at finite temperature. Our work advances previous applications of this theory, which have only…

量子气体 · 物理学 2012-12-04 S. J. Rooney , P. B. Blakie , A. S. Bradley

Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation for attractive interaction (with cubic or Kerr nonlinearity) we show that a stable bound state can appear in a Bose-Einstein condensate (BEC) in a…

其他凝聚态物理 · 物理学 2009-11-11 Sadhan K. Adhikari

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…

The dynamics of a bright matter wave soliton in a quasi 1D Bose-Einstein condensate with periodically rapidly varying trap is considered. The governing equation is derived based on averaging over fast modulations of the Gross-Pitaevskii…

软凝聚态物质 · 物理学 2009-11-07 F. Kh. Abdullaev , R. Galimzyanov

Multiquantum vortices in dilute atomic Bose-Einstein condensates confined in long cigar-shaped traps are known to be both energetically and dynamically unstable. They tend to split into single-quantum vortices even in the ultralow…

统计力学 · 物理学 2009-11-11 J. A. M. Huhtamäki , M. Möttönen , S. M. M. Virtanen

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

量子气体 · 物理学 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

量子气体 · 物理学 2020-07-29 Luca Giacomelli , Iacopo Carusotto

The stochastic Gross-Pitaevskii equation is used as a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg Landau equation with a trapping potential and an additive space-time white noise.…

偏微分方程分析 · 数学 2017-09-26 Anne de Bouard , Arnaud Debussche , Reika Fukuizumi

We observe the suppression of the 1D transport of an interacting elongated Bose-Einstein condensate in a random potential with a standard deviation small compared to the typical energy per atom, dominated by the interaction energy.…

Using the time-dependent mean-field Gross-Pitaevskii equation we study the dynamics of small repulsive Bose-Einstein condensed vortex states of ^{85}Rb atoms in a cylindrical trap with low angular momentum hbar L per atom (L <= 6), when the…

软凝聚态物质 · 物理学 2009-11-07 Sadhan K. Adhikari

We derive Ehrenfest like equations for the coupled Gross Pitaevskii equations (CGPE) which describe the dynamics of the binary Bose-Einstein condensate (BBEC) both in the free particle regime and in the regime where condensate is well…

量子气体 · 物理学 2017-12-06 Sukla Pal , Jayanta K. Bhattacharjee

We apply a variational technique to solve the time-dependent Gross-Pitaevskii equation for Bose-Einstein condensates in which an additional dipole-dipole interaction between the atoms is present with the goal of modelling the dynamics of…

量子物理 · 物理学 2009-02-10 Patrick Köberle , Holger Cartarius , Tomaž Fabčič , Jörg Main , Günter Wunner

The existence and stability of solitons in Bose-Einstein condensates with attractive inter-atomic interactions, described by the Gross-Pitaevskii equation with a three-dimensional (3D) periodic potential, are investigated in a systematic…

斑图形成与孤子 · 物理学 2009-11-11 D. Mihalache , D. Mazilu , F. Lederer , B. A. Malomed , L. -C. Crasovan , Y. V. Kartashov , L. Torner
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