Coupled dynamics of polaron and Bose-Einstein condensate in a parabolic potential

We study various regimes of coherent coupled motion of a polaron and one-dimensional Bose-Einstein condensate in a harmonic potential. By using qualitative analysis, perturbation theory and direct numerical solution of the Gross-Pitaevskii equation, we show that the entire dynamics is strongly nonli...

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Bibliographic Details
Published inPhysica scripta Vol. 96; no. 3; pp. 35205 - 35215
Main Authors Mardonov, Sh N, Sherman, E Ya
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.03.2021
Subjects
Bose-Einstein condensate
Gross-Pitaevskii equation
nonlinear oscillations
Polaron
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Summary:We study various regimes of coherent coupled motion of a polaron and one-dimensional Bose-Einstein condensate in a harmonic potential. By using qualitative analysis, perturbation theory and direct numerical solution of the Gross-Pitaevskii equation, we show that the entire dynamics is strongly nonlinear and critically depends on the sign of the self-interaction in the condensate and the sign of the interaction between the polaron-forming embedded particle and the condensate. Strongly mutually related evolution of the condensate shape, its center of mass position, and polaron coordinate is studied for coupled nonlinear polaron-condensate oscillations and transmission/reflection of the polaron through/by the condensate.
Bibliography:PHYSSCR-112528
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/abd120