Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps

Journal Article · Mon Sep 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.032702· OSTI ID:20640176

Bolda, E L; Tiesinga, E; Julienne, P S ^[1]

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1. Atomic Physics Division, National Institute of Standards and Technology, 100 Bureau Drive, Stop 8423, Gaithersburg, Maryland 20899-8423, USA (United States)

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 modeled 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 bound state of low energy and nearly-isotropic wave function extending on the order of the tightest trap width.

• OSTI ID: 20640176
• Journal Information: Physical Review. A, Vol. 68, Issue 3; Other Information: DOI: 10.1103/PhysRevA.68.032702; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
ATOMS
AXIAL SYMMETRY
BOUND STATE
CONFINEMENT
CRYOGENICS
EIGENFUNCTIONS
EIGENVALUES
FERMI INTERACTIONS
GROUND STATES
S WAVES
SCATTERING
SCATTERING AMPLITUDES
SCATTERING LENGTHS
TRAPS
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS