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arXiv · 1803.08603

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

G. Guijarro·A. Pricoupenko·G. E. Astrakharchik·J. Boronat·D. S. Petrov
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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.

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G. Guijarro, A. Pricoupenko, G. E. Astrakharchik, J. Boronat, D. S. Petrov. 2018-03-22. One-dimensional three-boson problem with two- and three-body interactions. https://doi.org/10.1103/physreva.97.061605

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