|
| related topics |
| {energy, state, states} |
| {trap, ion, state} |
| {wave, scattering, interference} |
| {equation, function, exp} |
| {temperature, thermal, energy} |
| {cos, sin, state} |
| {level, atom, field} |
|
Pseudopotential model of ultracold atomic collisions in quasi-one- and
two-dimensional traps
E. L. Bolda, E. Tiesinga, P. S. Julienne
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0304001
- categories:
- quant-ph physics.atom-ph
- comments:
- 9 pages, 8 figures; submitted to Phys. Rev. A
- doi:
- 10.1103/PhysRevA.68.032702
- arxiv_id:
- quant-ph/0304001
- created:
- 2003-03-31
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