dorsal/arxiv
View SchemaOne-dimensional Bose chemistry: effects of non-integrability
| Authors | V. A. Yurovsky, A. Ben-Reuven, M. Olshanii |
|---|---|
| Categories | |
| ArXiv ID | physics/0512033 |
| URL | https://arxiv.org/abs/physics/0512033 |
| DOI | 10.1103/PhysRevLett.96.163201 |
| Journal | Phys. Rev. Lett. 96, 163201 (2006) |
Abstract
Three-body collisions of ultracold identical Bose atoms under tight cylindrical confinement are analyzed. A Feshbach resonance in two-body collisions is described by a two-channel zero-range interaction. Elimination of the closed channel in the three-body problem reduces the interaction to a one-channel zero-range one with an energy dependent strength. The related problem with an energy independent strength (the Lieb-Liniger-McGuire model) has an exact solution and forbids all chemical processes, such as three-atom association and diatom dissociation, as well as reflection in atom-diatom collisions. The resonant case is analyzed by a numerical solution of the Faddeev-Lovelace equations. The results demonstrate that as the internal symmetry of the Lieb-Liniger-McGuire model is lifted, the reflection and chemical reactions become allowed and may be observed in experiments.
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"abstract": "Three-body collisions of ultracold identical Bose atoms under tight\ncylindrical confinement are analyzed. A Feshbach resonance in two-body\ncollisions is described by a two-channel zero-range interaction. Elimination of\nthe closed channel in the three-body problem reduces the interaction to a\none-channel zero-range one with an energy dependent strength. The related\nproblem with an energy independent strength (the Lieb-Liniger-McGuire model)\nhas an exact solution and forbids all chemical processes, such as three-atom\nassociation and diatom dissociation, as well as reflection in atom-diatom\ncollisions. The resonant case is analyzed by a numerical solution of the\nFaddeev-Lovelace equations. The results demonstrate that as the internal\nsymmetry of the Lieb-Liniger-McGuire model is lifted, the reflection and\nchemical reactions become allowed and may be observed in experiments.",
"arxiv_id": "physics/0512033",
"authors": [
"V. A. Yurovsky",
"A. Ben-Reuven",
"M. Olshanii"
],
"categories": [
"physics.atom-ph",
"cond-mat.soft",
"quant-ph"
],
"doi": "10.1103/PhysRevLett.96.163201",
"journal_ref": "Phys. Rev. Lett. 96, 163201 (2006)",
"title": "One-dimensional Bose chemistry: effects of non-integrability",
"url": "https://arxiv.org/abs/physics/0512033"
},
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