dorsal/arxiv
View SchemaThree particles in an external trap: Nature of the complete J=0 spectrum
| Authors | D. Blume, Chris H. Greene |
|---|---|
| Categories | |
| ArXiv ID | physics/0202060 |
| URL | https://arxiv.org/abs/physics/0202060 |
| DOI | 10.1103/PhysRevA.66.013601 |
| Journal | Phys.Rev.A66:013601,2002 |
Abstract
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.
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"abstract": "Three bosonic, spin-polarized atoms in a spherical oscillator potential\nconstitutes the simplest nontrivial Bose-Einstein condensate (BEC). The present\npaper develops the tools needed to understand the nature of the complete J=0\nenergy spectrum for this prototype system, assuming a sum of two-body\npotentials. The resulting spectrum is calculated as a function of the two-body\nscattering length a_sc, which documents the evolution of certain many-body\nlevels that evolve from BEC-type to molecular-type as the scattering length is\ndecreased. Implications for the behavior of the condensate excited-state\nspectrum and for condensate formation and decay are elucidated. The energy\nlevels evolve smoothly, even through the regime where the number of two-body\nbound states N_b increases by 1, and a_{sc} switches from -infinity to\ninfinity. We point out the possibility of suppressing three-body recombination\nby tuning the two-body scattering length to values that are larger than the\nsize of the condensate ground state. Comparisons with mean-field treatments are\npresented.",
"arxiv_id": "physics/0202060",
"authors": [
"D. Blume",
"Chris H. Greene"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.66.013601",
"journal_ref": "Phys.Rev.A66:013601,2002",
"title": "Three particles in an external trap: Nature of the complete J=0 spectrum",
"url": "https://arxiv.org/abs/physics/0202060"
},
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