Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates

Faraday and resonant density waves emerge in Bose-Einstein condensates as a result of harmonic driving of the system. They represent nonlinear excitations and are generated due to the interaction-induced coupling of collective oscillation modes and the existence of parametric resonances. Using a mea...

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Main Authors: Dušan Vudragović, Antun Balaž
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/11/9/1090
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spelling doaj-32b53f14d75e41b9bc1206bc99dec9f52020-11-25T01:39:51ZengMDPI AGSymmetry2073-89942019-09-01119109010.3390/sym11091090sym11091090Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein CondensatesDušan Vudragović0Antun Balaž1Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, SerbiaScientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, SerbiaFaraday and resonant density waves emerge in Bose-Einstein condensates as a result of harmonic driving of the system. They represent nonlinear excitations and are generated due to the interaction-induced coupling of collective oscillation modes and the existence of parametric resonances. Using a mean-field variational and a full numerical approach, we studied density waves in dipolar condensates at zero temperature, where breaking of the symmetry due to anisotropy of the dipole-dipole interaction (DDI) plays an important role. We derived variational equations of motion for the dynamics of a driven dipolar system and identify the most unstable modes that correspond to the Faraday and resonant waves. Based on this, we derived the analytical expressions for spatial periods of both types of density waves as functions of the contact and the DDI strength. We compared the obtained variational results with the results of extensive numerical simulations that solve the dipolar Gross-Pitaevskii equation in 3D, and found a very good agreement.https://www.mdpi.com/2073-8994/11/9/1090Bose-Einstein condensatepattern formationdipole-dipole interactionparametric resonanceinteraction effects
collection DOAJ
language English
format Article
sources DOAJ
author Dušan Vudragović
Antun Balaž
spellingShingle Dušan Vudragović
Antun Balaž
Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
Symmetry
Bose-Einstein condensate
pattern formation
dipole-dipole interaction
parametric resonance
interaction effects
author_facet Dušan Vudragović
Antun Balaž
author_sort Dušan Vudragović
title Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
title_short Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
title_full Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
title_fullStr Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
title_full_unstemmed Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
title_sort faraday and resonant waves in dipolar cigar-shaped bose-einstein condensates
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-09-01
description Faraday and resonant density waves emerge in Bose-Einstein condensates as a result of harmonic driving of the system. They represent nonlinear excitations and are generated due to the interaction-induced coupling of collective oscillation modes and the existence of parametric resonances. Using a mean-field variational and a full numerical approach, we studied density waves in dipolar condensates at zero temperature, where breaking of the symmetry due to anisotropy of the dipole-dipole interaction (DDI) plays an important role. We derived variational equations of motion for the dynamics of a driven dipolar system and identify the most unstable modes that correspond to the Faraday and resonant waves. Based on this, we derived the analytical expressions for spatial periods of both types of density waves as functions of the contact and the DDI strength. We compared the obtained variational results with the results of extensive numerical simulations that solve the dipolar Gross-Pitaevskii equation in 3D, and found a very good agreement.
topic Bose-Einstein condensate
pattern formation
dipole-dipole interaction
parametric resonance
interaction effects
url https://www.mdpi.com/2073-8994/11/9/1090
work_keys_str_mv AT dusanvudragovic faradayandresonantwavesindipolarcigarshapedboseeinsteincondensates
AT antunbalaz faradayandresonantwavesindipolarcigarshapedboseeinsteincondensates
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