Moving binary Bose-Einstein condensates in a weak random potential

TL;DR

This paper analyzes how weak disorder and relative motion affect the properties and stability of binary Bose-Einstein condensates, revealing that motion can suppress localization and quantum fluctuations.

Contribution

It provides analytical and numerical insights into the combined effects of disorder and relative motion on binary BECs, highlighting the destruction of Bose glass states.

Findings

Relative motion alters stability conditions.

Disorder effects are suppressed by velocity.

Quantum fluctuations decrease with increasing velocity.

Abstract

We study the behavior of moving Bose-Bose mixtures in a weak disordered potential in the realm of the Bogoliubov-Huang-Meng theory. Corrections due to the quantum fluctuations, disorder effects and the relative motion of two fluids to the glassy fraction, the condensed depletion, the anomalous density, and the equation of state of each species are obtained analytically for small velocity. We show that the intriguing interplay of the relative motion and the disorder potential could not only change the stability condition, but destroy also the localization process in the two condensates preventing the formation of a Bose glass state. Unexpectedly, we find that the quantum fluctuations reduce with the velocity of the two fluids. The obtained theoretical predictions are checked by our numerical results.