One-dimensional three-boson problem with two- and three-body interactions

Abstract

We solve the three-boson problem with contact two- and three-body interactions in one dimension and analytically calculate the ground and excited trimer-state energies. Then, by using the diffusion Monte Carlo technique we calculate the binding energy of three dimers formed in a one-dimensional Bose-Bose or Fermi-Bose mixture with attractive interspecies and repulsive intraspecies interactions. Combining these results with our three-body analytics we extract the three-dimer scattering length close to the dimer-dimer zero crossing. In both considered cases the three-dimer interaction turns out to be repulsive. Our results constitute a concrete proposal for obtaining a one-dimensional gas with a pure three-body repulsion.

arXiv commentpublished version

References in corpus (13)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Dynamics of dark solitons in elongated Bose-Einstein condensates
• Monte Carlo Analysis of a New Interatomic Potential for He
• Dilute Quantum Droplets
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Strongly Interacting Isotopic Bose-Fermi Mixture Immersed in a Fermi Sea
• Three-Body Interacting Bosons in Free Space
• Potassium ground state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy
• Friction and diffusion of matter-wave bright solitons
• Quantum droplet of one-dimensional bosons with a three-body attraction
• Universal bound states of one-dimensional bosons with two- and three-body attractions
• A Pure Confinement Induced Trimer in One-Dimensional Atomic Waveguides
• Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture

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