Quantum droplet of one-dimensional bosons with a three-body attraction

Abstract

Ultracold atoms offer valuable opportunities where interparticle interactions can be controlled at will. In particular, by extinguishing the two-body interaction, one can realize unique systems governed by the three-body interaction, which is otherwise hidden behind the two-body interaction.Here we study one-dimensional bosons with a weak three-body attraction and show that they form few-body bound states as well as a many-body droplet stabilized by the quantum mechanical effect. Their binding energies relative to that of three bosons are all universal and the ground-state energy of the dilute droplet is found to grow exponentially as EN /E3 → exp(8N 2 / √ 3π) with increasing particle number N ≫ 1. The realization of our system with coupled two-component bosons in an optical lattice is also discussed.

Three-body interaction near a narrow two-body zero crossing

“…In particular, three-body forces have been considered in the context of droplet formation in three dimensions [16][17][18][19] and as a means for stabilizing supersolid phases of quasi-two-dimensional dipolar atoms or molecules [20]. Quite a few recent theory papers have discussed one-dimensional three-bodyinteracting systems, exploring the kinematic equivalence of the three-body scattering in one dimension and the two-body scattering in two dimensions (see, for example [21][22][23][24][25][26][27][28][29][30][31][32]).…”

A quantum field-theoretical perspective on scale anomalies in 1D systems with three-body interactions

“…(16) can be written entirely in terms of the bound state energy by using Eq. (19) to get rid of the coupling (dimensional transmutation)…”

Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas

“…This result agrees with the result which has been derived by Yuta et.al. in [52]. Moreover, in a weakly coupling regime, the two-particle local correlation functions is given by g 2 (0, 0) = n 2 (1 − 2 √ γ/π).…”