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

TL;DR

This paper explores turbulence in two-component Bose-Einstein condensates, revealing universal states and transitions driven by oscillating forces, with a probabilistic model predicting the decoupled state.

Contribution

It introduces a new understanding of turbulence states in two-component BECs and a probabilistic model predicting component separation.

Findings

Identification of coupled and decoupled turbulent states.

Transition behavior at critical interaction strength.

Probabilistic model accurately predicts the decoupled state's parameter.

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 $\sim0$) and decoupled (the parameter $\sim0.5$). 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.