Trapping collapse: Infinite number of repulsive bosons trapped by a generic short-range potential

  title={Trapping collapse: Infinite number of repulsive bosons trapped by a generic short-range potential},
  author={Kun Chen and Nikolay V Prokof'ev and Boris Svistunov},
  journal={Physical Review A},
Weak potential wells (or traps) in one and two dimensions, and the potential wells slightly deeper than the critical ones in three dimensions, feature shallow bound states with localization length much larger than the well radii. We address a simple fundamental question of how many repulsively interacting bosons can be localized by such traps. We find that under rather generic conditions, for both weakly and strongly repulsive particles, in two and three dimensions--but not in one-dimension… 
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An attempt to answer the question was made in Refs