Turbulence in a matter-wave supersolid

Area of Science:

• Quantum physics
• Condensed matter physics
• Atomic physics

Background:

• Bose-Einstein condensates (BECs) exhibit superfluid properties.
• Quantum turbulence is a key phenomenon in superfluids.
• Rydberg-dressed BECs allow for tunable interactions and novel quantum states.

Purpose of the Study:

• To numerically investigate quantum turbulence in a 2D trapped atomic Rydberg-dressed BEC.
• To explore the transition from a superfluid (SF) to a hexagonal supersolid (SS) state.
• To identify novel scaling laws for wave and vortex dynamics in the SS phase.

Main Methods:

• Numerical simulations using the Gross-Pitaevskii equation approach.
• Analysis of wave and vortex dynamics in a two-dimensional trapped atomic Rydberg-dressed BEC.
• Identification of characteristic scaling laws for turbulence.

Main Results:

• A new k-13/3 scaling law for wave turbulence was discovered in the SS state, coexisting with k-1/3 and k-1 cascades.
• The SS system exhibits a negative energy dispersion (E ~ k-1) related to the SS droplet radius.
• Vortex turbulence in the SS state shows a strong k-1 scaling, influenced by pinned vortices and antivortices.

Conclusions:

• The hexagonal supersolid state in Rydberg-dressed BECs exhibits distinct quantum turbulence characteristics.
• New scaling laws provide insights into the complex interplay of waves and vortices in supersolids.
• The findings contribute to understanding quantum turbulence in exotic quantum states of matter.