## 摘要

Quantum turbulence associated with wave and vortex dynamics is numerically investigated for a two-dimensional trapped atomic Rydberg-dressed Bose-Einstein condensate (BEC). When the coupling constant of the soft-core interaction is over a critical value, the superfluid (SF) system can transition into a hexagonal supersolid (SS) state. Based on the Gross-Pitaevskii equation approach, we have discovered a new characteristic k^{−13/3} scaling law for wave turbulence in the SS state, that coexists with the waveaction k^{−1/3} and energy k^{−1} cascades commonly existing in a SF BEC. The new k^{−13/3} scaling law implies that the SS system exhibits a negative, minus-one power energy dispersion (E ~ k^{−1}) at the wavevector consistent with the radius of the SS droplet. For vortex turbulence, in addition to the presence of the Kolmogorov energy k^{−5/3} and Saffman enstrophy k^{−4} cascades, it is found that large amount of independent vortices and antivortices pinned to the interior of the oscillating SS results in a strong k^{−1} scaling at the wavevector consistent with the SS lattice constant.

原文 | 英語 |
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文章編號 | 12589 |

期刊 | Scientific reports |

卷 | 8 |

發行號 | 1 |

DOIs | |

出版狀態 | 已發佈 - 2018 12月 1 |

## ASJC Scopus subject areas

- 多學科