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We obtain analytic solutions to the Gross-Pitaevskii equation with negative scattering length in highly asymmetric traps. We find that in these traps the Bose--Einstein condensates behave like quasiparticles and do not expand when the…

Quantum Physics · Physics 2009-10-31 Victor M. Perez-Garcia , H. Michinel , H. Herrero

We investigate the 2D weakly interacting Bose-Einstein condensate in a rotating trap by the tools of quantum information theory. The critical exponents of the ground state fidelity susceptibility and the correlation length of the system are…

Quantum Gases · Physics 2009-12-04 Zhao Liu , Hongli Guo , Shu Chen , Heng Fan

We consider a Bose-Einstein condensate confined in a ``Mexican hat'' potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the…

Other Condensed Matter · Physics 2009-11-11 M. Cozzini , B. Jackson , S. Stringari

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

Ring-trapped Bose-Einstein condensates subject to spin-orbit coupling support localized dark soliton excitations that show periodic density dynamics in real space. In addition to the density feature, solitons also carry a localized…

Quantum Gases · Physics 2012-05-24 O. Fialko , J. Brand , U. Zülicke

We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find that the condensate undergoes elliptic deformation, followed by…

Condensed Matter · Physics 2007-05-23 Makoto Tsubota , Kenichi Kasamatsu , Masahito Ueda

We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and…

Statistical Mechanics · Physics 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

We derive the frequency of precession and conditions for stability for a quantized vortex in a single-component and a two-component Bose-Einstein condensate. The frequency of precession is proportional to the gradient of the free energy…

Soft Condensed Matter · Physics 2009-10-31 S. A. McGee , M. J. Holland

We present a comprehensive theoretical study of vortex lattice formation in atomic Bose-Einstein condensates confined by a rotating elliptical trap. We consider rotating solutions of the classical hydrodynamic equations, their response to…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , R. M. W. van Bijnen , A. M. Martin

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 have investigated the formation of vortices by rotating the purely magnetic potential confining a Bose-Einstein condensate. We modified the bias field of an axially symmetric TOP trap to create an elliptical potential that rotates in the…

Statistical Mechanics · Physics 2009-11-07 E. Hodby , G. Hechenblaikner , S. A. Hopkins , O. M. Maragò , C. J. Foot

The response of a trapped Bose-Einstein condensed gas to a periodic driving force is studied theoretically in the framework of the nonlinear Gross-Pitaevskii equation. The monopole mode is driven by periodical modulation of the frequency of…

Other Condensed Matter · Physics 2007-05-23 Emil Lundh

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is…

Quantum Gases · Physics 2020-10-28 Matthew Edmonds , Muneto Nitta

By applying a position-dependent detuning to a spin-orbit-coupled Hamiltonian with equal Rashba and Dresselhaus coupling, we exploit the behavior of the angular momentum of a harmonically trapped Bose-Einstein condensed atomic gas and…

Quantum Gases · Physics 2018-05-07 Chunlei Qu , Sandro Stringari

The possibility of effectively inverting the sign of the dipole-dipole interaction, by fast rotation of the dipole polarization, is examined within a harmonically trapped dipolar Bose-Einstein condensate. Our analysis is based on the…

Quantum Physics · Physics 2019-02-13 S. B. Prasad , T. Bland , B. C. Mulkerin , N. G. Parker , A. M. Martin

We present a kinetic theory for Bose-Einstein condensation of a weakly interacting atomic gas in a trap. Starting from first principles, we establish a Markovian kinetic description for the evolution towards equilibrium. In particular, we…

Statistical Mechanics · Physics 2009-10-31 R. Walser , J. Williams , J. Cooper , M. Holland

In this letter, atom optic techniques are proposed to control the excitation of a Bose-Einstein condensate in an atomic trap. We show that by employing the dipole potential induced by four highly detuned travelling-wave laser beams with…

Statistical Mechanics · Physics 2009-10-30 Karl-Peter Marzlin , Weiping Zhang

We study the motion of a vortex dipole in a Bose-Einstein condensate confined to an anisotropic trap. We focus on a system of ordinary differential equations describing the vortices' motion, which is in turn a reduced model of the…

Quantum Gases · Physics 2015-03-31 Roy H. Goodman , Panayotis G. Kevrekidis , Ricardo Carretero-Gonzalez

We investigate the vortex lattice configuration in a rotating spin orbit-coupled spin-2 Bose-Einstein condensate confined in a quasi-two-dimensional harmonic trap. By considering the interplay between rotation frequency, spin-orbit…

Quantum Gases · Physics 2023-10-10 Paramjeet Banger

We present a simple mechanism to produce vortices at any desired spatial locations in harmonically trapped Bose-Einstein condensates (BEC) with multicomponent spin states coupled to external transverse and axial magnetic fields. The…

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