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arXiv · 1804.10755

Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions

Chen-Xi Zhu·Wei Yi·Guang-Can Guo·Zheng-Wei Zhou
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Abstract

We study the instability of a ring Bose-Einstein condensate under a periodic modulation of inter-atomic interactions. The condensate exhibits temporal and spatial patterns induced by the parametric resonance, which can be characterized by Bogoliubov quasi-particle excitations in the Floquet basis. As the ring geometry significantly limits the number of excitable Bogoliubov modes, we are able to capture the non-linear dynamics of the condensate using a three-mode model. We further demonstrate the robustness of the temporal and spatial patterns against disorder, which are attributed to the mode-locking mechanism under the ring geometry. Our results can be observed in cold atomic systems and are also relevant to physical systems described by the non-linear Schrodinger's equation.

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Chen-Xi Zhu, Wei Yi, Guang-Can Guo, Zheng-Wei Zhou. 2018-04-28. Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions. https://doi.org/10.1103/physreva.99.023619

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