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Single particle states in the atomic trap employing the rotating magnetic field are found using the full time-dependent instantaneous trapping potential. These states are compared with those of the effective time-averaged potential. We show…

We present a systematic theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate. We introduce the dynamical equations of motion, identify the associated conserved…

We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states…

Other Condensed Matter · Physics 2009-06-10 Weibin Li , Masudul Haque , Stavros Komineas

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 calculate the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap, and analyse their dynamical stability. The static solutions and their regimes of…

Other Condensed Matter · Physics 2015-06-25 R. M. W. van Bijnen , D. H. J. O'Dell , N. G. Parker , A. M. Martin

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 briefly discuss energy, normal modes and dynamics of a vortex in a trapped Bose-Einstein condensate. Theoretical results are compared with current experiments.

Statistical Mechanics · Physics 2007-05-23 Alexander L. Fetter , Anatoly A. Svidzinsky

We study the vortex dynamics and vortex pinning effect in Bose-Einstein condensate in a rotating double-well trap potential and co-rotating optical lattice. We show that, in agreement with the experiment, the vortex number do not diverge…

Quantum Gases · Physics 2014-08-25 T. Mithun , K. Porsezian , Bishwajyoti Dey

We study experimentally and theoretically a cold trapped Bose gas under critical rotation, i.e. with a rotation frequency close to the frequency of the radial confinement. We identify two regimes: the regime of explosion where the cloud…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Rosenbusch , D. S. Petrov , S. Sinha , F. Chevy , V. Bretin , Y. Castin , G. Shlyapnikov , J. Dalibard

Motivated by a recent experiment [K.C. Wright et. al. Phys. Rev. Lett. 110, 025302 (2013)], we investigate deterministic discontinuous jumps between quantized circulation states in a toroidally trapped Bose-Einstein condensate. These phase…

Quantum Gases · Physics 2015-06-22 A. I. Yakimenko , Y. M. Bidasyuk , M. Weyrauch , Y. I. Kuriatnikov , S. I. Vilchinskii

We report experimental observations and numerical simulations of the formation, dynamics, and lifetimes of single and multiply charged quantized vortex dipoles in highly oblate dilute-gas Bose-Einstein condensates (BECs). We nucleate pairs…

Quantum Gases · Physics 2015-05-14 T. W. Neely , E. C. Samson , A. S. Bradley , M. J. Davis , B. P. Anderson

We theoretically examine the rotation of an atomic Bose-Einstein condensate in an elliptical trap, both in the absence and presence of a quantized vortex. Two methods of introducing the rotating potential are considered - adiabatically…

Other Condensed Matter · Physics 2009-11-13 I. Corro , N. G. Parker , A. M. Martin

We study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular…

Statistical Mechanics · Physics 2009-11-07 M. S. Hussein , O. K. Vorov

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

The state of a rotating Bose-Einstein condensate in a harmonic trap is modeled by a wave function that minimizes the Gross-Pitaevskii functional. The resulting minimization problem has two new features compared to other similar functionals…

Analysis of PDEs · Mathematics 2014-08-29 Ayman Kachmar

We predict solitary vortices in quasi-planar condensates of dipolar atoms, polarized parallel to the confinement direction, with the effective sign of the dipole-dipole interaction inverted by means of a rapidly rotating field. Energy…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , B. A. Malomed , A. Vardi

The behaviors of a rapid rotating Bose-Einstein condensate under extreme elongation in a 2D anisotropic harmonic plus quartic trap are investigated. Due to the quartic trap, the system remains stable at high rotating velocity, $\Omega\geq…

Other Condensed Matter · Physics 2012-06-13 C. C. Huang , C. H. Liu , W. C. Wu

A relaxation method is employed to study a rotating dense Bose-Einstein condensate beyond Thomas-Fermi approximation. We use a slave-boson model to describe the strongly interacting condensate and derive a generalized non-linear…

Other Condensed Matter · Physics 2008-08-07 V. P. Barros , Ch. Moseley , A. Gammal , K. Ziegler

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

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su ciently strong, there is no theoretical limit to the rotation…

Quantum Gases · Physics 2019-10-01 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason