Wave turbulence in driven dipolar gases across the superfluid to supersolid transition

Turbulence in a physical system involves the transport of energy among different length

scales. Ultracold gases provide fertile platforms to explore this phenomenon, due to the

involvement of a wide range of length scales ranging from short ones e.g. the healing

length determined by the s-wave interactions to macroscopic scales set by external traps.

Gases with long-range interactions, such as magnetic dipoles, may further aid in

unveiling the universal characteristics of quantum turbulence due to the existence of

competing interactions. We unravel the emergent energy cascade in quasi-two-

dimensional dipolar gases within the extended Gross-Pitaevskii framework. To initiate

such a cascade, the system is periodically driven across the superfluid to supersolid

transition and vice versa. A power-law decay is observed in the long-wavelength limit of

the energy density spectrum and the momentum distribution. The exponent of such a

decay is investigated for different initial states and characteristics of the driving

protocol, revealing signatures of wave quantum turbulence.