Turbulence in a matter-wave supersolid

C. H. Hsueh, Y. C. Tsai, T. L. Horng, M. Tsubota, W. C. Wu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number12589
JournalScientific reports
Issue number1
Publication statusPublished - 2018 Dec 1

ASJC Scopus subject areas

  • General


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