One-dimensional three-boson problem with two- and three-body interactions
PublisherAmerican Physical Society (APS)
Rights accessOpen Access
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.
CitationGuijarro, G., Pricoupenko, A., Astrakharchik, G., Boronat, J., Petrov, D. One-dimensional three-boson problem with two- and three-body interactions. "Physical review A", 14 Juny 2018, vol. 97, p. 061605-1-061605-5.