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Exploring vortex dynamics in the presence of dissipation: Analytical and numerical results

Lookup NU author(s): Professor Nikolaos ProukakisORCiD

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Abstract

In this paper, we examine the dynamical properties of vortices in atomic Bose-Einstein condensates in the presence of phenomenological dissipation, used as a basic model for the effect of finite temperatures. In the context of this so-called dissipative Gross-Pitaevskii model, we derive analytical results for the motion of single vortices and, importantly, for vortex dipoles, which have become very relevant experimentally. Our analytical results are shown to compare favorably to the full numerical solution of the dissipative Gross-Pitaevskii equation where appropriate. We also present results on the stability of vortices and vortex dipoles, revealing good agreement between numerical and analytical results for the internal excitation eigenfrequencies, which extends even beyond the regime of validity of this equation for cold atoms.

Publication metadata

Author(s): Yan D, Carretero-Gonzalez R, Frantzeskakis DJ, Kevrekidis PG, Proukakis NP, Spirn D

Publication type: Article

Publication status: Published

Journal: Physical Review A

Year: 2014

Volume: 89

Issue: 4

Online publication date: 21/04/2014

ISSN (print): 1050-2947

ISSN (electronic): 1094-1622

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevA.89.043613

DOI: 10.1103/PhysRevA.89.043613

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