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The Two-Body Universal Energy Spectrum of Interacting Ultracold Atoms Near Feshbach Resonances

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Title: The Two-Body Universal Energy Spectrum of Interacting Ultracold Atoms Near Feshbach Resonances
Author: Han, Alex C.
Issue Date: 2009-05-05
Citation: Han, Alex C. 2009. The Two-Body Universal Energy Spectrum of Interacting Ultracold Atoms Near Feshbach Resonances. Undergraduate Honours Thesis. Department of Physics and Astronomy. University of British Columbia.
Series/Report no. Undergraduate Honours Theses
Abstract: In this undergraduate thesis, we discuss the two-body quantum mechanical problem of two ultra- cold bosonic atoms at low energy limit, interacting through a square potential with and without an external confinement. The two-body s-wave scattering length is introduced in terms of the radial wavefunction. In free space with no confinement, the interaction-scattering length relation is calculated and compared in 3- and 1-dimensions; we show the recurring resonance regions where the scattering length diverges and the existence of dimer bound state with positively large scattering length. Lastly, in the case of a 3-dimensional isotropic harmonic confinement, again under the ultracold limit, we obtain the universal (s-state) energy spectrum of the two atoms in terms of the scattering length.
Affiliation: Physics and Astronomy, Dept of
URI: http://hdl.handle.net/2429/7878
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