Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions

Details Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions

2011-04-21

arxiv.org/abs/1104.4352v2

Phys. Rev. A 84, 052727 (2011)

Physics

Condensed Matter

Quantum Gases

Extended version with 14 pages and 14 figures

Scientific paper

10.1103/PhysRevA.84.052727

We study few-body problems in mixed dimensions with $N \ge 2$ heavy atoms trapped individually in parallel one-dimensional tubes or two-dimensional disks, and a single light atom travels freely in three dimensions. By using the Born-Oppenheimer approximation, we find three- and four-body bound states for a broad region of heavy-light atom scattering length combinations. Specifically, the existence of trimer and tetramer states persist to negative scattering lengths regime, where no two-body bound state is present. These few-body bound states are analogous to the Efimov states in three dimensions, but are stable against three-body recombination due to geometric separation. In addition, we find that the binding energy of the ground trimer and tetramer state reaches its maximum value when the scattering lengths are comparable to the separation between the low-dimensional traps. This resonant behavior is a unique feature for the few-body bound states in mixed dimensions.

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