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Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the…

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

A dense vortex lattice in a rotating dilute Bose-Einstein condensate is studied with the Thomas-Fermi approximation. The upper critical angular velocity Omega_{c2} occurs when the intervortex separation b becomes comparable with the vortex…

Statistical Mechanics · Physics 2009-11-07 Alexander L. Fetter

We present a quantum mechanical treatment of the mechanical stirring of Bose-Einstein condensates using classical field techniques. In our approach the condensate and excited modes are described using a Hamiltonian classical field method in…

Other Condensed Matter · Physics 2008-12-03 T. M. Wright , R. J. Ballagh , A. S. Bradley , P. B. Blakie , C. W. Gardiner

The instability condition of the non-vortex state toward vortex formation is exa mined within the Bogoliubov theory when a Bose-Einstein condensate is under exte rnally forced rotation. The obtained critical angular velocity combined with…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Kazushige Machida

Numerical computations of stationary states of fast-rotating Bose-Einstein condensates require high spatial resolution due to the presence of a large number of quantized vortices. In this paper we propose a low-order finite element method…

Quantum Gases · Physics 2015-05-18 Ionut Danaila , Frederic Hecht

The stability and chaotic behaviors of Bose-Einstein condensates with two- and three-atom interactions in optical lattices are discussed with analytical and numerical methods. It is found that the steady-state relative population appears…

Quantum Gases · Physics 2015-05-13 Yan Chen , Ke-Zhi Zhang , Yong Chen

We theoretically investigate the non-equilibrium dynamics of quantum vortices in a two-dimensional rotating Bose-Einstein condensate following an interaction quench. Using an ab initio and numerically exact quantum many-body approach, we…

Quantum Gases · Physics 2026-02-24 L. A. Machado , B. Chatterjee , M. A. Caracanhas , L. Madeira , V. S. Bagnato , B. Chakrabarti

Multiply quantized vortices in trapped Bose-Einstein condensates are studied using the Bogoliubov theory. Suitable combinations of a localized pinning potential and external rotation of the system are found to energetically stabilize, both…

Soft Condensed Matter · Physics 2008-07-10 T. P. Simula , S. M. M. Virtanen , M. M. Salomaa

We consider a finite-temperature Bose-Einstein condensate in a quasi-two-dimensional trap containing a single precessing vortex. We find that such a configuration arises naturally as an ergodic equilibrium of the projected Gross-Pitaevskii…

Quantum Gases · Physics 2009-11-29 T. M. Wright , A. S. Bradley , R. J. Ballagh

We numerically study the vortex-vortex interaction in multi-component homogeneous Bose-Einstein condensates within the realm of the Gross-Pitaevskii theory. We provide strong evidences that pairwise vortex interaction captures the…

We study the changes in the spatial distribution of vortices in a rotating Bose-Einstein condensate due to an increasing anisotropy of the trapping potential. Once the rotational symmetry is broken, we find that the vortex system undergoes…

Quantum Gases · Physics 2013-05-29 N. Lo Gullo , Th. Busch , M. Paternostro

We investigate numerically the response of an atomic Bose-Einstein condensate to a weakly-elliptical rotating trap over a large range of rotation frequencies. We analyse the quadrupolar shape oscillation excited by rotation, and…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , C. S. Adams

Dilute ultracold quantum gases form an ideal and highly tunable system in which superuidity can be studied. Recently quantum turbulence in Bose-Einstein condensates was reported [PRL 103, 045310 (2009)], opening up a new experimental system…

Quantum Gases · Physics 2017-07-27 Nick Verhelst , Timour Ichmoukhamedov , Jacques Tempere

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 investigate energetic stability of vortices near the surface of a Bose-Einstein condensate. From an energy functional of a rotating Bose-Einstein condensate, written in terms of variables local to the surface, and a suitable trial…

Statistical Mechanics · Physics 2007-05-23 U. Al Khawaja

We observe interlaced square vortex lattices in rotating two-component dilute-gas Bose-Einstein condensates (BEC). After preparing a hexagonal vortex lattice in a single-component BEC in an internal state $|1>$ of $^{87}$Rb atoms, we…

Other Condensed Matter · Physics 2009-11-10 V. Schweikhard , I. Coddington , P. Engels , S. Tung , E. A. Cornell

We study the three-dimensional ground state vortex lattice structures of purely dipolar Bose-Einstein condensate (BEC). By using the mean-field model we obtain a stability diagram for the vortex states in purely dipolar BECs as a function…

Using a focused laser beam we stir a Bose-Einstein condensate confined in a magnetic trap. When the stirring frequency lies near the transverse quadrupolar mode resonance we observe the nucleation of vortices. When several vortices are…

Statistical Mechanics · Physics 2007-05-23 F. Chevy , K. Madison , V. Bretin , J. Dalibard

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

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…