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arXiv · 2211.00403

Quantum dynamics of impurities in a Bose-Einstein condensate

Javed Akram
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Abstract

We study the quantum dynamics of the two impurities in a trapped quasi-one-dimensional Bose-Einstein condensate (BEC). We explore the effect of impurity-BEC and impurity-impurity interaction strengths on the dynamics of impurities inside the Bose-Einstein condensate. By studying the auto-correlation function of impurities and the BEC, we analyze and quantify the trapping of impurities inside the BEC. We find out that for the small value of inter-species coupling strength the BEC starts to oscillate inside the trap. For mild coupling strengths, attractive and repulsive impurities are captured after a few cycles of oscillation inside the BEC. In the strong interaction strength regime, the to-and-fro motion of impurities is suppressed quite fast. Our conclusion indicates that quench dynamics can be a tool for studying impurity BEC interactions or impurity-impurity interactions. Our analysis shows that the generation of phonon, shock waves, soliton trains, and self-trapping is strongly dependent on the impurity-BEC coupling coefficient.

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Javed Akram. 2022-11-01. Quantum dynamics of impurities in a Bose-Einstein condensate. https://doi.org/10.1007/s00340-021-07653-2

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