Three particles in an external trap: Nature of the complete J=0 spectrum
| dc.creator | Blume, D. | |
| dc.creator | Greene, Chris H. | |
| dc.date | 2002-02-23 | |
| dc.date.accessioned | 2026-07-07T12:37:44Z | |
| dc.date.available | 2026-07-07T12:37:44Z | |
| dc.description | Three bosonic, spin-polarized atoms in a spherical oscillator potential constitutes the simplest nontrivial Bose-Einstein condensate (BEC). The present paper develops the tools needed to understand the nature of the complete J=0 energy spectrum for this prototype system, assuming a sum of two-body potentials. The resulting spectrum is calculated as a function of the two-body scattering length a_sc, which documents the evolution of certain many-body levels that evolve from BEC-type to molecular-type as the scattering length is decreased. Implications for the behavior of the condensate excited-state spectrum and for condensate formation and decay are elucidated. The energy levels evolve smoothly, even through the regime where the number of two-body bound states N_b increases by 1, and a_{sc} switches from -infinity to infinity. We point out the possibility of suppressing three-body recombination by tuning the two-body scattering length to values that are larger than the size of the condensate ground state. Comparisons with mean-field treatments are presented. | |
| dc.identifier | https://arxiv.org/abs/physics/0202060 | |
| dc.identifier | http://arxiv.org/abs/physics/0202060 | |
| dc.identifier | Phys.Rev.A66:013601,2002 | |
| dc.identifier | doi:10.1103/PhysRevA.66.013601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218543 | |
| dc.subject | Atomic Physics | |
| dc.title | Three particles in an external trap: Nature of the complete J=0 spectrum | |
| dc.type | text |