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arXiv · 1711.07276

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

Yuta Sekino·Yusuke Nishida
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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 $E_N/E_3\to\exp(8N^2/\sqrt3\pi)$ with increasing particle number $N\gg1$. The realization of our system with coupled two-component bosons in an optical lattice is also discussed.

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Yuta Sekino, Yusuke Nishida. 2017-11-20. Quantum droplet of one-dimensional bosons with a three-body attraction. https://doi.org/10.1103/physreva.97.011602

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