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Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps | | E. L. Bolda
; E. Tiesinga
; P. S. Julienne
; | | Date: |
31 Mar 2003 | | Subject: | Quantum Physics; Atomic Physics | quant-ph physics.atom-ph | | 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. | | Source: | arXiv, quant-ph/0304001 | | Services: | Forum | Review | PDF | Favorites | |
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