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Matter sound waves in two-component Bose-Einstein condensates

B. B. BaizakovPhysical-Technical Institute, Uzbek Academy of Sciences, 100084, Tashkent, UzbekistanA. M. KamchatnovInstitute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, 142190, RussiaMario SalernoDipartimento di Fisica ‘E R Caianiello’, Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Universitá di Salerno, via S Allende I-84081, Baronissi (SA), Italy
2008en

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Abstract. The creation and propagation of sound waves in two-component Bose-Einstein condensates (BEC) are investigated and a new method of wave generation in binary BEC mixtures is proposed. The method is based on a fast change of the interspecies interaction constant and is illustrated for two experimental settings: a drop-like condensate immersed into a second large repulsive condensate, and a binary mixture of two homogeneous repulsive BEC’s. A mathematical model based on the linearized coupled Gross-Pitaevskii equations is developed and explicit formulae for the space and time dependence of sound waves are provided. Comparison of the analytical and numerical results shows excellent agreement, confirming the validity of the proposed approach. PACS numbers: 03.75.Kk Submitted to: J. Phys. B: At. Mol. Phys. Matter sound waves in two-component Bose-Einstein condensates 2 1.

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