Interacting bosons in a nearly-resonant potential well

Details Interacting bosons in a nearly-resonant potential well Interacting bosons in a nearly-resonant potential well

2006-09-27

arxiv.org/abs/cond-mat/0609706v2

Phys. Rev. A 75, 063421 (2007)

Physics

Condensed Matter

Other Condensed Matter

6 pages, 3 figures. Minor changes, version to appear in PRA

Scientific paper

10.1103/PhysRevA.75.063421

We establish that the ability of a localized trapping potential to bind weakly-interacting bosons is dramatically enhanced in the vicinity of the threshold of formation of the single-particle bound-state of the trap. Specifically, for repulsive particles and a super-threshold trapping potential the equilibrium number of bound bosons and the size of the ground state diverge upon approaching the single-particle threshold from above. For attractive interactions and a sub-threshold trap a collective bound state always forms for a sufficiently large number of bosons despite the inability of interparticle attraction alone to form a two-body bound state.

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