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

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.

Thermal instability, evaporation, and thermodynamics of one-dimensional liquids in weakly interacting Bose-Bose mixtures

“…One-dimensional configurations can be achieved in current quantum liquid experiments [29], and this leads to strongly reduced three-body losses [27,28]. As such both the thermal dynamical instability and the evaporation discussed in this paper could be directly and unambiguously observed.…”

“…These quantum liquids have been predicted to exist also in one-dimensional (1D) Bose-Bose mixtures [24][25][26], where beyond-mean-field effects are greatly enhanced, and threebody collisions strongly reduced [27,28]. A 1D configuration should therefore allow for a more precise characterization of the evaporation process.…”

Two-dimensional supersolidity in a dipolar quantum gas

“…, interpolating between a Gaussian and a flat-top profile characteristic of quantum droplets [40]. For a given total number of atoms N and droplet number N D , energy minimization provides the atom number N j in each droplet, as well as their widths σ ρ(z),j , exponents r ρ(z),j , and positions ρ j = (x j , y j ).…”