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We study the decay of vortices in Bose-Einstein condensates at finite temperatures by means of the Zaremba Nikuni Griffin formalism, in which the condensate is modelled by a Gross Pitaevskiiequation, which is coupled to a Boltzmann kinetic…

Statistical Mechanics · Physics 2015-05-13 B. Jackson , N. P. Proukakis , C. F. Barenghi , E. Zaremba

We study the dynamics of a single and a pair of vortices in quasi two-dimensional Bose-Einstein condensates at finite temperatures. We use the stochastic Gross-Pitaevskii equation, which is the Langevin equation for the Bose-Einstein…

Quantum Gases · Physics 2014-02-04 S. Gautam , Arko Roy , Subroto Mukerjee

We derive the finite temperature oscillation modes of a harmonically confined Bose-Einstein condensed gas undergoing rigid body rotation supported by a vortex lattice in the condensate. The hydrodynamic modes separate into two classes…

Soft Condensed Matter · Physics 2009-11-10 Armen Sedrakian , Ira Wasserman

The dynamics of vortex lattices in stirred Bose-Einstein condensates have been studied at finite temperatures. The decay of the vortex lattice was observed non-destructively by monitoring the centrifugal distortions of the rotating…

Soft Condensed Matter · Physics 2009-11-07 J. R. Abo-Shaeer , C. Raman , W. Ketterle

We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and…

Statistical Mechanics · Physics 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a {\em rotating} dilute Bose gas. The theory is used to model the dynamical and equilibrium properties of a rapidly rotating Bose gas…

Quantum Physics · Physics 2008-09-13 A. S. Bradley , C. W. Gardiner , M. J. Davis

We demonstrate that the precessional frequencies of vortices in Bose Einstein condensates (BECs) are determined by a conservation law, and not by the lowest lying excitation energy mode. We determine the precessional frequency for a single…

Quantum Gases · Physics 2009-10-13 B. G. Wild , D. A. W. Hutchinson

Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of constrained optimization. In a non-rotating axially…

Quantum Gases · Physics 2021-08-09 Julien Garaud , Jin Dai , Antti J. Niemi

We characterize several equilibrium vortex effects in a rotating Bose-Einstein condensate. Specifically we attempt precision measurements of vortex lattice spacing and the vortex core size over a range of condensate densities and rotation…

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

We study the precessing motion of a vortex in a Bose-Einstein condensate of atomic gases. In addition to the former zero-temperature studies, finite temperature systems are treated within the Popov and semiclassical approximations.…

Soft Condensed Matter · Physics 2016-08-16 Tomoya Isoshima , Jukka Huhtamäki , Martti M. Salomaa

The dynamics of Bose-Einstein condensate (BEC) is studied at nonzero temperatures using our variational time-dependent-HFB formalism. We have shown that this approach is an efficient tool to study the expansion and collective excitations of…

Quantum Gases · Physics 2013-08-29 Abdelâali Boudjemâa

The formation of quantized vortices in trapped, gaseous Bose-Einstein condensates is considered. The thermodynamic stability of vortex states and the essential role of the surface excitations as a route for vortex penetration into the…

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

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

Numerical simulations of vortex motion in a trapped Bose-Einstein condensate were performed by solving the two-dimensional Gross-Pitaevskii equation in the presence of a simple phenomenological model of interaction between the condensate…

Other Condensed Matter · Physics 2008-07-24 Eniko J. M. Madarassy

We numerically model decaying quantum turbulence in two-dimensional disk-shaped Bose-Einstein condensates, and investigate the effects of finite temperature on the turbulent dynamics. We prepare initial states with a range of condensate…

Quantum Gases · Physics 2020-03-18 Andrew J. Groszek , Matthew J. Davis , Tapio P. Simula

In this paper, we systematically examine the stability and dynamics of vortices under the effect of a phenomenological dissipation used as a simplified model for the inclusion of the effect of finite temperatures in atomic Bose-Einstein…

We consider a model of a dilute Bose-Einstein condensed gas at finite temperatures, where the condensate coexists in a trap with a cloud of thermal excitations. Within the ZGN formalism, the dynamics of the condensate is described by a…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

The surface mode spectrum is computed self-consistently for dilute Bose-Einstein condensates, providing the temperature dependence of the surface mode induced vortex nucleation frequency. Both the thermodynamic critical frequency for vortex…

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

The properties of vortex states in a Bose-Einstein condensed cloud of atoms are considered at zero temperature. Using both analytical and numerical methods we solve the time-dependent Gross-Pitaevskii equation for the case when a cloud of…

Condensed Matter · Physics 2009-10-31 Emil Lundh , C. J. Pethick , H. Smith

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner
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