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We analyze the vortex dynamics and vortex-vortex interactions in Bose-Einstein condensates confined in toroidal traps. We show that this particular geometry strongly distorts the vortex dynamics. The numerically calculated vortex…

Condensed Matter · Physics 2009-11-07 T. Schulte , L. Santos , A. Sanpera , M. Lewenstein

We address the challenging proposition of using real experimental parameters in a three-dimensional numerical simulation of fast rotating Bose-Einstein condensates. We simulate recent experiments [V. Bretin, S. Stock, Y. Seurin and J.…

Superconductivity · Physics 2009-11-11 Ionut Danaila

We study vortex dynamics in trapped two-component Bose-Einstein condensates with a laser- induced spin-orbit coupling using the numerical analysis of the Gross-Pitaevskii equation. The spin-orbit coupling leads to three distinct ground…

Quantum Gases · Physics 2015-12-09 Kenichi Kasamatsu

We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation. For different initial vortex configurations we calculate…

Quantum Physics · Physics 2007-10-03 Alexander Klein , Dieter Jaksch , Yanzhi Zhang , Weizhu Bao

We consider the evolution of a gas of $N$ bosons in the three-dimensional Gross-Pitaevskii regime (in which particles are initially trapped in a volume of order one and interact through a repulsive potential with scattering length of the…

Mathematical Physics · Physics 2024-07-11 Cristina Caraci , Jakob Oldenburg , Benjamin Schlein

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…

The shift in condensation temperature caused by interactions is studied up to second order in the s-wave scattering length in a Bose-Einstein condensate trapped in a temperature-dependent three-dimensional generic potential. With no…

Quantum Gases · Physics 2020-07-06 E. Castellanos , F. Briscese , M. Grether , M. de Llano

We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We…

Statistical Mechanics · Physics 2015-11-27 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

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…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We study the decay dynamics of an interacting Bose-Einstein condensate in the presence of a metastable trapping potential from which the condensate can escape via tunneling through finite barriers. The time-dependent decay process is…

Other Condensed Matter · Physics 2015-06-25 Peter Schlagheck , Sandro Wimberger

A generalised stochastic Gross-Pitaevskii equation describing a partially condensed trapped Bose gas with rotating thermal component is presented. We elucidate the manner in which the rotation changes the role of the high energy cutoff and…

Other Condensed Matter · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

Recent experiments on ultracold Bose gases in two dimensions have provided evidence for the existence of the Berezinskii-Kosterlitz-Thouless (BKT) phase via analysis of the interference between two independent systems. In this work we study…

Quantum Gases · Physics 2010-11-11 Christopher J. Foster , P. Blair Blakie , Matthew J. Davis

We consider a model of a dilute Bose-Einstein condensed gas at finite temperatures, where the condensate coexists in a trap with a cloud of thermal excitations. Within the ZGN formalism, the dynamics of the condensate is described by a…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

Quantum turbulence indicators in dipolar Bose-Einstein condensed fluids, following emissions of vortex-antivortex pairs generated by a circularly moving detuned laser, are being provided by numerical simulations of the corresponding…

Quantum Gases · Physics 2024-01-18 S. Sabari , R. Kishor Kumar , Lauro Tomio

Bose-Einstein condensates are suitable systems for studying fundamental aspects of quantum backreaction. Here the backreaction problem in 1D condensates is considered from the perspective of energy and momentum conservation. By assuming the…

Quantum Physics · Physics 2024-08-29 Caio C. Holanda Ribeiro

We study the precessing motion of a vortex in a Bose-Einstein condensate of atomic gases. In addition to the former zero-temperature studies, finite temperature systems are treated within the Popov and semiclassical approximations.…

Soft Condensed Matter · Physics 2016-08-16 Tomoya Isoshima , Jukka Huhtamäki , Martti M. Salomaa

We present a method to study the dynamics of a quasi-two dimensional Bose-Einstein condensate which contains initially many vortices at arbitrary locations. We present first the analytical solution of the dynamics in a homogeneous medium…

We consider many-body effects on particle scattering in one, two and three dimensional Bose gases. We show that at zero temperature these effects can be modelled by the simpler two-body T-matrix evaluated off the energy shell. This is…

Condensed Matter · Physics 2009-11-07 M. D. Lee , S. A. Morgan , M. J. Davis , K. Burnett

We explore the topological transformation of quasi-2D Bose-Einstein condensates of dilute atomic gases, and changes in the low-energy quasiparticles associated with the geometry of the confining potential. In particular, we show the density…

Quantum Gases · Physics 2017-11-02 Arko Roy , D. Angom

We analyse the Bose-Einstein condensation process and the Berezinskii-Kosterlitz-Thouless phase transition within the Gross-Pitaevskii model and their interplay with wave turbulence theory. By using numerical experiments we study how the…

Fluid Dynamics · Physics 2014-07-28 Sergey Nazarenko , Miguel Onorato , Davide Proment
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