dorsal/arxiv
View SchemaPseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps
| Authors | E. L. Bolda, E. Tiesinga, P. S. Julienne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304001 |
| URL | https://arxiv.org/abs/quant-ph/0304001 |
| DOI | 10.1103/PhysRevA.68.032702 |
Abstract
We describe a model for s-wave collisions between ground state atoms in optical lattices, considering especially the limits of quasi-one and two dimensional axisymmetric harmonic confinement. When the atomic interactions are modelled by an s-wave Fermi-pseudopotential, the relative motion energy eigenvalues can easily be obtained. The results show that except for a bound state, the trap eigenvalues are consistent with one- and two- dimensional scattering with renormalized scattering amplitudes. For absolute scattering lengths large compared with the tightest trap width, our model predicts a novel bound state of low energy and nearly-isotropic wavefunction extending on the order of the tightest trap width.
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"date_created": "2026-03-02T18:01:59.923000Z",
"date_modified": "2026-03-02T18:01:59.923000Z",
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"abstract": "We describe a model for s-wave collisions between ground state atoms in\noptical lattices, considering especially the limits of quasi-one and two\ndimensional axisymmetric harmonic confinement. When the atomic interactions are\nmodelled by an s-wave Fermi-pseudopotential, the relative motion energy\neigenvalues can easily be obtained. The results show that except for a bound\nstate, the trap eigenvalues are consistent with one- and two- dimensional\nscattering with renormalized scattering amplitudes. For absolute scattering\nlengths large compared with the tightest trap width, our model predicts a novel\nbound state of low energy and nearly-isotropic wavefunction extending on the\norder of the tightest trap width.",
"arxiv_id": "quant-ph/0304001",
"authors": [
"E. L. Bolda",
"E. Tiesinga",
"P. S. Julienne"
],
"categories": [
"quant-ph",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.68.032702",
"title": "Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps",
"url": "https://arxiv.org/abs/quant-ph/0304001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d68f8221-5de8-41de-b5a0-ea9410a4458e",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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