Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate

Nikos Kyriakopoulos, Vassilis Koukouloyannis, Charalampos Skokos, Panayotis Kevrekidis

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Motivated by recent experimental works, we investigate a system of vortex dynamics in an atomic Bose-Einstein condensate (BEC), consisting of three vortices, two of which have the same charge. These vortices are modeled as a system of point particles which possesses a Hamiltonian structure. This tripole system constitutes a prototypical model of vortices in BECs exhibiting chaos. By using the angular momentum integral of motion we reduce the study of the system to the investigation of a two degree of freedom Hamiltonian model and acquire quantitative results about its chaotic behavior. Our investigation tool is the construction of scan maps by using the Smaller ALignment Index (SALI) as a chaos indicator. Applying this approach to a large number of initial conditions we manage to accurately and efficiently measure the extent of chaos in the model and its dependence on physically important parameters like the energy and the angular momentum of the system.
Original languageEnglish
Article number024410
JournalChaos
Volume24
Issue number2
DOIs
Publication statusPublished - Jun 2014

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Bose-Einstein Condensate
Chaotic Behavior
Bose-Einstein condensates
Vortex
Vortex flow
Chaos theory
vortices
chaos
Hamiltonians
Angular momentum
Chaos
Angular Momentum
angular momentum
Vortex Dynamics
Integrals of Motion
Hamiltonian Structure
degrees of freedom
alignment
Alignment
Initial conditions

Keywords

  • nlin.CD

Cite this

Kyriakopoulos, N., Koukouloyannis, V., Skokos, C., & Kevrekidis, P. (2014). Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate. Chaos, 24(2), [024410]. https://doi.org/10.1063/1.4882169

Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate. / Kyriakopoulos, Nikos; Koukouloyannis, Vassilis; Skokos, Charalampos; Kevrekidis, Panayotis.

In: Chaos, Vol. 24, No. 2, 024410, 06.2014.

Research output: Contribution to journalArticle

Kyriakopoulos, N, Koukouloyannis, V, Skokos, C & Kevrekidis, P 2014, 'Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate', Chaos, vol. 24, no. 2, 024410. https://doi.org/10.1063/1.4882169
Kyriakopoulos N, Koukouloyannis V, Skokos C, Kevrekidis P. Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate. Chaos. 2014 Jun;24(2). 024410. https://doi.org/10.1063/1.4882169
Kyriakopoulos, Nikos ; Koukouloyannis, Vassilis ; Skokos, Charalampos ; Kevrekidis, Panayotis. / Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate. In: Chaos. 2014 ; Vol. 24, No. 2.
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