Bose-Einstein Condensation Dynamics from the Numerical Solution of the Gross-Pitaevskii Equation by the Pseudospectral Method

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dc.creatorMuruganandam, Paulsamy
dc.creatorAdhikari, Sadhan K.
dc.date2003-10-17
dc.date2003-10-21
dc.date.accessioned2026-07-07T02:54:15Z
dc.date.available2026-07-07T02:54:15Z
dc.descriptionWe study certain stationary and time-evolution problems of trapped Bose-Einstein condensates of weakly interacting alkali atoms described by a nonlinear Gross-Pitaevskii (GP) equation. We suggest a pseudospectral method involving Laguerre polynomials to solve the time dependent GP for a spherically symmetric trap potential. The radial wavefunction and energy values have been calculated for different nonlinearities. Further, we study the effect of suddenly changing the interatomic scattering length or harmonic oscillator trap potential in the condensate. We also investigate the frequency of oscillation due to the variation in the strength of nonlinearity.
dc.description4 pages, 2 eps figures, to appear in the conference proceedings - NCNSD (Dec. 28-30 2003), IIT, Kharaghpur, India
dc.identifierhttps://arxiv.org/abs/cond-mat/0310403
dc.identifierhttp://arxiv.org/abs/cond-mat/0310403
dc.identifierProc. First National Conferece on Nonlinear Dynamics & Syst., Dec. 28-30, 2003 (IIT, Kharaghpur, 2003) pp.73-76
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22469
dc.subjectSoft Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleBose-Einstein Condensation Dynamics from the Numerical Solution of the Gross-Pitaevskii Equation by the Pseudospectral Method
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