Feshbach resonant scattering of three fermions in one-dimensional wells

Details Feshbach resonant scattering of three fermions in one-dimensional wells Feshbach resonant scattering of three fermions in one-dimensional wells

2009-04-22

arxiv.org/abs/0904.3477v1

Phys. Rev. A 80, 033611 (2009)

Physics

Condensed Matter

Quantum Gases

10 pages, 5 figures

Scientific paper

10.1103/PhysRevA.80.033611

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.

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