One-dimensional three-boson problem with two- and three-body interactions
Quantum Gases
2018-06-20 v2
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.
Keywords
Cite
@article{arxiv.1803.08603,
title = {One-dimensional three-boson problem with two- and three-body interactions},
author = {G. Guijarro and A. Pricoupenko and G. E. Astrakharchik and J. Boronat and D. S. Petrov},
journal= {arXiv preprint arXiv:1803.08603},
year = {2018}
}
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published version