Feshbach resonant scattering of three fermions in one-dimensional wells

We study the weak-tunnelling limit for a system of cold 40K atoms trapped in a one-dimensional optical lattice close to an s-wave Feshbach resonance. We calculate the local spectrum for three atoms at one site of the lattice within a two-channel model. Our results indicate that, for this one-dimensi...

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Bibliographic Details
Published in:arXiv.org 2009-04
Main Authors: Duric, T, Ho, A F, Lee, D K K
Format: Article
Language:English
Subjects:
Cold traps
Energy spectra
Fermions
Level crossings
Optical lattices
Phase transitions
Online Access:Get full text
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Summary:We study the weak-tunnelling limit for a system of cold 40K atoms trapped in a one-dimensional optical lattice close to an s-wave Feshbach resonance. We calculate the local spectrum for three atoms at one site of the lattice within a two-channel model. 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 non-uniform density.
ISSN:2331-8422
DOI:10.48550/arxiv.0904.3477