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Vortex configurations in rotating Bose-Einstein condensed gases trapped in power-law and anharmonic potentials are studied. When the confining potential is steeper than harmonic in the plane perpendicular to the axis of rotation, vortices…

Condensed Matter · Physics 2009-11-07 Emil Lundh

We study the dynamics of vortex nucleation and lattice formation in a Bose--Einstein condensate in a rotating square optical lattice by numerical simulations of the Gross--Pitaevskii equation. Different dynamical regimes of vortex…

Quantum Gases · Physics 2011-11-23 Akira Kato , Yuki Nakano , Kenichi Kasamatsu , Tetsuo Matsui

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

In this work we perform a numerical study of a rotating, harmonically trapped, Bose-Einstein condensate of microcavity polaritons. An efficient numerical method (toolbox) to solve the complex Gross-Pitaevskii equation is developed. Using…

Quantum Gases · Physics 2015-05-12 Bikash Padhi , Romain Duboscq , Ankita Niranjan , Ravi K. Soni

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

Boundaries strongly affect the behavior of quantized vortices in Bose-Einstein condensates, a phenomenon particularly evident in elongated cigar-shaped traps where vortices tend to orient along a short direction to minimize energy.…

Quantum Gases · Physics 2017-11-03 R. N. Bisset , S. Serafini , E. Iseni , M. Barbiero , T. Bienaimé , G. Lamporesi , G. Ferrari , F. Dalfovo

The dynamics of quantum vortices in a two-dimensional annular condensate are considered by numerically simulating the Gross-Pitaevskii equation. Families of solitary wave sequences are reported, both without and with a persistent flow, for…

Other Condensed Matter · Physics 2012-09-27 Peter Mason , Natalia G. Berloff

We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of 52Cr atoms with dipole-dipole and s-wave contact interactions confined in an axially…

Quantum Gases · Physics 2009-06-24 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

We have studied numerically the Hamiltonian dynamics of two same-sign point vortices in an effectively two-dimensional, harmonically trapped Bose-Einstein condensate. We have found in the phase space of the system an impenetrable wall that…

Quantum Gases · Physics 2016-04-15 Anderson V. Murray , Andrew J. Groszek , Pekko Kuopanportti , Tapio Simula

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…

In strongly nonequilibrium Bose-Einstein condensates described by the generalized Gross-Pitaevskii equation, vortex motion becomes self-accelerated while the long-range vortex-antivortex interaction appears to be repulsive. We numerically…

Quantum Gases · Physics 2020-01-08 Vladimir Gladilin , Michiel Wouters

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

Quantum Gases · Physics 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

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

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

We examine an effectively repulsive Bose-Einstein condensate of atoms, that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the…

Statistical Mechanics · Physics 2015-06-24 A. D. Jackson , G. M. Kavoulakis

We present theoretical analysis and numerical studies of the quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction in harmonic and anharmonic potentials, respectively. The exact quantized…

Quantum Gases · Physics 2015-05-30 Deng-Shan Wang , Shu-Wei Song , Bo Xiong , W. M. Liu

We study the response of a trapped Bose-Einstein condensate to a sudden turn-on of a rotating drive by solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and…

Condensed Matter · Physics 2009-11-07 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

Dynamical vortex production and quantum turbulence emerging in periodic perturbed quasi-two-dimensional (q2D) Bose-Einstein condensates are reported by considering two distinct time-dependent approaches. In both cases, dynamical simulations…

Quantum Gases · Physics 2024-01-19 L. Tomio , A. N. da Silva , S. Sabari , R. Kishor Kumar