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We study the equilibrium states of a vortex in a Bose-Einstein condensate in a one-dimensional optical lattice. We find that quantum effects can be important and that it is even possible for the vortex to be strongly squeezed, which…

Statistical Mechanics · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

We theoretically study the coherent expansion of a Bose-Einstein condensate in the presence of a confining impenetrable hard-wall potential. The nonlinear dynamics of the macroscopically coherent matter field results in rich and complex…

Statistical Mechanics · Physics 2009-10-31 J. Ruostekoski , B. Kneer , W. P. Schleich

The tensor-virial method is applied for a study of oscillation modes of uniformly rotating Bose-Einstein condensed gases, whose rigid body rotation is supported by an vortex array. The second order virial equations are derived in the…

Condensed Matter · Physics 2009-10-31 A. Sedrakian , I. Wasserman

We propose the novel mechanism leading to superfluidity breakdown in dilute Bose-condensed gases. We discuss the properties and highlight the role played by surface excitations in trapped condensates. We show that the critical velocity…

Soft Condensed Matter · Physics 2007-05-23 A. E. Muryshev , P. O. Fedichev

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

The first- and second-order correlation functions of trapped, interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space and momentum space are treated. The…

Other Condensed Matter · Physics 2008-08-18 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We study rotational motion of an interacting atomic Bose-Einstein condensate confined in a quadratic-plus-quartic potential. We calculate the lowest energy surface mode frequency and show that a symmetric trapped (harmonic and quartic)…

Soft Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

We solve the Gross-Pitaevskii equation to study energy transfer from an oscillating `object' to a trapped Bose-Einstein condensate. Two regimes are found: for object velocities below a critical value, energy is transferred by excitation of…

Statistical Mechanics · Physics 2009-10-31 B. Jackson , J. F. McCann , C. S. Adams

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…

Quantum Gases · Physics 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…

Quantum Gases · Physics 2020-07-29 Luca Giacomelli , Iacopo Carusotto

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. Due to the competition between vortex-vortex interactions and pinning to the optical lattice we find a very…

Other Condensed Matter · Physics 2015-05-13 Daniel S. Goldbaum , Erich J. Mueller

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

We study the dynamics of a straight vortex line in a partially Bose-Einstein condensed atomic gas. Using a variational approach to the stochastic field equation that describes the dynamics of the condensate at nonzero temperature, we derive…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , B. W. A. Leurs , H. T. C. Stoof

The study of collective excitations is a crucial tool for understanding many-body quantum systems. For instance, they play a central role in the exploration of superfluidity and other quantum macroscopic phenomena in Bose and Fermi systems.…

Quantum Gases · Physics 2025-02-21 A. del Río-Lima , J. A. Seman , R. Jáuregui , F. J. Poveda-Cuevas

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

We present a theoretical model to describe the dynamics of Bose-Einstein condensates in anharmonic trapping potentials. To first approximation the center-of-mass motion is separated from the internal condensate dynamics and the problem is…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortagh , C. Zimmermann

In this brief review we summarize a number of recent developments in the study of vortices in Bose-Einstein condensates, a topic of considerable theoretical and experimental interest in the past few years. We examine the generation of…

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

We calculate the angular momentum and energy of a vortex dipole in a trapped atomic Bose-Einstein condensate. Fully analytic expressions are obtained. We apply the results to understand a novel phenomenon in the MIT group experiment, an…

Superconductivity · Physics 2009-11-10 Qi Zhou , Hui Zhai

In this paper, we systematically examine the stability and dynamics of vortices under the effect of a phenomenological dissipation used as a simplified model for the inclusion of the effect of finite temperatures in atomic Bose-Einstein…