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In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the centre of the condensate. That non-uniform rotation is defined by a rotating parameter called $\lambda$.…

Atomic Physics · Physics 2018-06-21 Saswata Sahu , Dwipesh Majumder

We study the precession of an off-axis straight vortex in a rotating nonaxisymmetric harmonic trap in the Thomas-Fermi (TF) regime. A time-dependent variational Lagrangian analysis yields the dynamical equations of the vortex and the…

Statistical Mechanics · Physics 2007-05-23 Alexander L. Fetter , Jong-kwan Kim

Neutron star glitches -- sudden increases in rotational frequency -- are thought to result from angular momentum transfer via quantized vortices in the superfluid core. To investigate the underlying superfluid dynamics, we employ a…

The Gross-Pitaevskii-type equation is solved for the charge Bose liquid in the external magnetic field at zero temperature. There is a vortex lattice with locally broken charge neutrality. The boson density is modulated in real space and…

Superconductivity · Physics 2009-11-10 V. V. Kabanov , A. S. Alexandrov

Specific topological excitations of energetically stable "core-and-mantle" configurations of trapped two-component immiscible Bose-Einstein condensates are studied numerically within the coupled Gross-Pitaevskii equations. Non-stationary…

Quantum Gases · Physics 2022-01-26 Victor P. Ruban

The threshold conditions for a rotating pancake-like asymmetric quartic-quadratic confined condensate to break in two localized fragments, as well as to produce giant vortex at the center within the vortex-pattern distributions, are…

Atomic Physics · Physics 2021-01-04 Leonardo Brito , Alex Andriati , Lauro Tomio , Arnaldo Gammal

We consider massive vortices in binary condensates, where the immiscibility condition entails the trapping of the minority component in the vortex cores of the majority component. We study such vortices by means of a 2D point-like model,…

Quantum Gases · Physics 2024-08-29 Alice Bellettini , Andrea Richaud , Vittorio Penna

We propose a scheme for generating two-dimensional turbulence in harmonically trapped atomic condensates with the novelty of controlling the polarization (net rotation) of the turbulence. Our scheme is based on an initial giant…

Quantum Gases · Physics 2016-04-06 A. Cidrim , F. E. A. dos Santos , L. Galantucci , V. S. Bagnato , C. F. Barenghi

We study numerically the formation of a vortex lattice inside a rotating bucket containing superfluid helium, paying attention to an important feature which is practically unavoidable in all experiments: the microscopic roughness of the…

Fluid Dynamics · Physics 2020-10-22 N. A. Keepfer , G. W. Stagg , L. Galantucci , C. F. Barenghi , N. G. Parker

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 study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari

We calculate the critical rotation frequency at which a vortex state becomes energetically favorable over the vortex-free ground state in a harmonically trapped Bose-Einstein condensate whose atoms have dipole-dipole interactions as well as…

Other Condensed Matter · Physics 2007-05-23 Duncan H. J. O'Dell , Claudia Eberlein

The dynamics of two-component Bose-Einstein condensates in rotating traps is investigated. In the Thomas-Fermi limit, equations of motion are derived showing multiple static solutions for a vortex free condensate. Dynamic stability analysis…

Other Condensed Matter · Physics 2013-05-29 I. Corro , R. G. Scott , A. M. Martin

We revisit ground states of spinor Bose-Einstein condensates with a Rashba spin-orbit coupling, and find that votices show up as a direct consequence of spontaneous symmetry breaking into a combined gauge, spin, and space rotation symmetry,…

Quantum Gases · Physics 2013-07-17 Zhi-Fang Xu , Shingo Kobayashi , Masahito Ueda

We report observations of the formation and subsequent decay of a vortex lattice in a Bose-Einstein condensate confined in a hybrid optical-magnetic trap. Vortices are induced by rotating the anharmonic magnetic potential that provides…

Atomic Physics · Physics 2016-01-21 A. Rakonjac , A. L. Marchant , T. P. Billam , J. L. Helm , M. M. H. Yu , S. A. Gardiner , S. L. Cornish

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

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

A rotating stationary solution of the vacuum Einstein equations with a cosmological constant is exhibited which reduces to de Sitter's interior cosmological solution when the angular momentum goes to zero. This solution is locally…

Astrophysics · Physics 2008-09-10 G. F. Chapline , P. Marecki

We explore the effect of using two-dimensional matter-wave vortices to confine an ensemble of bosonic quantum impurities. This is modelled theoretically using a mass-imbalanced homogeneous two component Gross-Pitaevskii equation where each…

Quantum Gases · Physics 2021-05-05 Matthew Edmonds , Minoru Eto , Muneto Nitta

Turbulence in classical fluids is characterized by persistent structures that emerge from the chaotic landscape. We investigate the analogous process in fully kinetic plasma turbulence by using high-resolution, direct numerical simulations…