Duric, T., Ho, A. F. and Lee, D. K. K. (2009) Feshbach resonant scattering of three fermions in one-dimensional wells. Physical Review A, 80 (3).
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We calculate the spectrum for three atoms in a one-dimensional harmonic well near an s-wave Feshbach resonance using a two-channel model to describe the Feshbach physics. This is relevant to the study of cold K-40 atoms trapped in a one-dimensional optical lattice. Our results indicate that, for this one-dimensional system, one-and two-channel models will differ close to the Feshbach resonance, although the two theories would converge in the limit of strong Feshbach coupling. We also find level crossings in the low-energy spectrum of a single well with three atoms that may lead to quantum phase transition for an optical lattice of many wells. We discuss the stability of the system to a phase with nonuniform density.
This is a Submitted version This version's date is: 9/2009 This item is not peer reviewed
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