Universal Turbulent States of Miscible Two-Component Bose-Einstein Condensates

Abstract

We investigate turbulence in miscible two-component Bose-Einstein condensates confined in a box potential using the coupled Gross-Pitaevskii equations. Turbulence is driven by an oscillating force, causing the components to oscillate either in-phase (co-oscillating) or out-of-phase (counter-oscillating). A parameter measuring component separation (0 for overlap, 1 for full separation) reveals two turbulent states: coupled (the parameter $\sim 0$) and decoupled (the parameter $\sim 0.5$). Co-oscillating flows transition between these states at a critical interaction strength, while counter-oscillating flows consistently show the decoupled state. A probabilistic model predicts the decoupled state's parameter as $\sqrt{4/\pi -1}=0.523$, consistent with simulations.

8 pages, 6 figures

References in corpus (6)

• Emergence of turbulence in an oscillating Bose-Einstein condensate
• Emergence of a Turbulent Cascade in a Quantum Gas
• Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Binary Quantum Turbulence Arising from Countersuperflow Instability in Two-Component Bose-Einstein Condensates
• Countersuperflow instability in miscible two-component Bose-Einstein condensates
• Universal equation of state for wave turbulence in a quantum gas