1D to 3D beyond-mean-field dimensional crossover in mixture quantum droplets

TL;DR

This paper investigates the dimensional crossover of quantum droplets in binary Bose-Einstein condensates from 1D to 3D, highlighting the changing role of beyond-mean-field effects and proposing experimental realizations.

Contribution

It provides a detailed analysis of the 1D to 3D crossover in quantum droplets, emphasizing the experimental feasibility and implications for testing beyond-mean-field theories.

Findings

Quantum droplets exist across all mean-field interaction signs.

Crossover reduces three-body losses, aiding experimental observation.

Realistic parameters for observing the crossover are provided.

Abstract

The existence of quantum droplets in binary Bose-Einstein condensate mixtures rely on beyondmean field effects, competing with mean-field effects. Interestingly, the beyond-mean field effect is changing from repulsive in 3D to attractive in 1D leading to drastically different behaviors. We study in detail the crossover between these two regimes in a quasi-1D regime where the radial wavefunction is frozen. Quantum droplets exist for all values and sign of the mean-field interaction. We find that approaching the crossover is experimentally appealing as it reduces the relative importance of three-body losses and give realistic numbers for the realization of quantum droplet in the crossover, which would permit to test beyond-mean-field theories to an unprecedented precision.