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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 are pointing out relevant anisotropic effects, related to spatial separation, miscibility and mass-symmetry, due to dipole-dipole interactions in rotating binary dipolar Bose-Einstein condensates, by considering symmetric…

Quantum Gases · Physics 2019-04-10 Ramavarmaraja Kishor Kumar , Lauro Tomio , Arnaldo Gammal

We consider a periodic vortex lattice in a rotating Bose-Einstein condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Cozzini , S. Stringari , C. Tozzo

We investigate the effects of vortex interaction on the formation of interference patterns in a coherent pair of two-dimensional Bose condensed clouds of ultra-cold atoms traveling in opposite directions subject to a harmonic trapping…

Quantum Gases · Physics 2014-12-15 Tao Yang , Andrew J. Henning , Keith A. Benedict

We study the generation of vortices in rotating axially elongated magneto-optical traps, a situation which has been realized in a recent experiment (K. W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806 (2000)). We…

Condensed Matter · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting…

Quantum Gases · Physics 2020-07-01 Srivatsa B. Prasad , Brendan C. Mulkerin , Andrew M. Martin

The spontaneous formation of lattice structure of quantized vortices is a characteristic feature of superfluidity in closed systems under thermal equilibrium. In exciton-polariton Bose-Einstein condensate, which is a typical example of…

Quantum Gases · Physics 2019-07-26 F. X. Sun , Z. X. Niu , Q. H. Gong , Q. Y. He , W. Zhang

We study the formation and stability of a single vortex state in a weakly-interacting Bose-Einstein condensate that is confined in a rotating harmonic potential. Our results are consistent with the fact that any single off-center vortex is…

Other Condensed Matter · Physics 2009-11-10 G. M. Kavoulakis

We study the dynamics of vortex dipoles in erbium ($^{168}$Er) and dysprosium ($^{164}$Dy) dipolar Bose-Einstein condensates (BECs) by applying an oscillating blue-detuned laser (Gaussian obstacle). For observing vortex dipoles, we solve a…

Quantum Gases · Physics 2018-09-21 S. Sabari , R. Kishor Kumar

We explore vortices in non-equilibrium Dirac Bose-Einstein condensates (Dirac BEC) described by a stationary Dirac Gross-Pitaevskii equations (GPE). We find that the multi-component structure of Dirac equation enables the difference in…

Quantum Gases · Physics 2022-02-16 J. Schaltegger , A. V. Balatsky

Recent experimental advancements enabled the creation of various systems exhibiting superfluid behavior, with one notable achievement being the development of dipolar Bose-Einstein condensates (dBECs). When confined along one or more…

Quantum Gases · Physics 2025-07-17 Alberto Villois , Miguel Onorato , Davide Proment

Recently, we presented a new numerical scheme for vortex lattice formation in a rotating Bose-Einstein condensate (BEC) using smoothed particle hydrodynamics (SPH) with an explicit time-integrating scheme; our SPH scheme could reproduce the…

Computational Physics · Physics 2024-09-04 Satori Tsuzuki , Eri Itoh , Katsuhiro Nishinari

Rapidly rotating Bose-Einstein condensates confined in anharmonic traps can exhibit a rich variety of vortex phases, including a vortex lattice, a vortex lattice with a hole, and a giant vortex. Using an augmented Thomas-Fermi variational…

Statistical Mechanics · Physics 2009-11-07 George Kavoulakis , Gordon Baym

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

The dynamical vortex production, with a trap-confining time-dependent stirred potential, is studied by using mass-imbalanced cold-atom coupled Bose-Einstein condensates (BEC). The vortex formation is explored by considering that both…

Quantum Gases · Physics 2023-03-29 Anacé N. da Silva , R. Kishor Kumar , Ashton S. Bradley , Lauro Tomio

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 calculate the structure of individual vortices in rotating Bose-Einstein condensates in a transverse harmonic trap. Making a Wigner-Seitz approximation for the unit cell of the vortex lattice, we derive the Gross-Pitaevskii equation for…

Other Condensed Matter · Physics 2007-05-23 Gentaro Watanabe , S. Andrew Gifford , Gordon Baym , C. J. Pethick

Recently observed signatures of Bose-Einstein condensation and superfluidity of dipolar excitons have drawn enormous attention to excitonic semiconductor bilayers. In superfluids, stabilization and observation of vortex matter is usually a…

Other Condensed Matter · Physics 2025-07-29 Sara Conti , Andrey Chaves , Luis A. Pena Ardila , David Neilson , Milorad V. Milosevic

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