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 $E_N/E_3\to \exp (8N^2/\sqrt{3}\pi )$ with increasing particle number $N\gg 1$. The realization of our system with coupled two-component bosons in an optical lattice is also discussed.

5 pages; published version

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Three-body forces: From cold atoms to nuclei
• Feshbach resonances in ultracold K(39)
• Universal Properties of Two-Dimensional Boson Droplets
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Elastic Multi-Body Interactions on a Lattice

Cited by in corpus (10)

• Symmetry breaking of quantum droplets in a dual-core trap
• Tunable three-body interactions in driven two-component Bose-Einstein condensates
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Three-body repulsive forces among identical bosons in one dimension
• Higher-order effective interactions for bosons near a two-body zero crossing
• Quantum droplet in a mixture of Bose-Fermi superfluids
• Anomalous frequency shifts in a one-dimensional trapped Bose gas
• Virial Expansion for a Three-Component Fermi Gas in One Dimension: The Quantum Anomaly Correspondence
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
• Quantum droplets in two-dimensional optical lattices