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Numerical and variational solutions of the dipolar Gross-Pitaevskii equation in reduced dimensions

  • Physics of Cold Trapped Atoms
  • Published:
Laser Physics

Abstract

We suggest a simple Gaussian Lagrangian variational scheme for the reduced time-dependent quasi-one-and quasi-two-dimensional Gross-Pitaevskii (GP) equations of a dipolar Bose-Einstein condensate (BEC) in cigar and disk configurations, respectively. The variational approximation for stationary states and breathing oscillation dynamics in reduced dimensions agrees well with the numerical solution of the GP equation even for moderately large short-range and dipolar nonlinearities. The Lagrangian variational scheme also provides much physical insight about soliton formation in dipolar BEC.

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Authors and Affiliations

  1. Instituto de Física Teórica, UNESP—Universidade Estadual Paulista, 01.140-070, São Paulo, São Paulo, Brazil

    P. Muruganandam & S. K. Adhikari

  2. School of Physics, Bharathidasan University, Palkalaiperur Campus, Tiruchirappalli, 620024, Tamilnadu, India

    P. Muruganandam

Authors
  1. P. Muruganandam
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  2. S. K. Adhikari
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Original Text © Astro, Ltd., 2012.

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Muruganandam, P., Adhikari, S.K. Numerical and variational solutions of the dipolar Gross-Pitaevskii equation in reduced dimensions. Laser Phys. 22, 813–820 (2012). https://doi.org/10.1134/S1054660X12040135

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  • DOI: https://doi.org/10.1134/S1054660X12040135

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