Bound Dimers in Bilayers of Cold Polar Molecules

Details Bound Dimers in Bilayers of Cold Polar Molecules Bound Dimers in Bilayers of Cold Polar Molecules

2010-12-22

arxiv.org/abs/1012.4957v3

J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 125301

Physics

Condensed Matter

Quantum Gases

25 pages, 9 figures, final version

Scientific paper

10.1088/0953-4075/44/12/125301

The exploration of cold polar molecules in different geometries is a rapidly developing experimental and theoretical pursuit. Recently, the implementation of optical lattices has enabled confinement in stacks of planes, the number of which is also controllable. Here we consider the bound state structure of two polar molecules confined in two adjacent planes as function of the polarization angle of the dipole moment of the molecules. We prove analytically and present numerical evidence for the existence of bound states for arbitrary dipole moments and polarization directions in this two-dimensional geometry. The spatial structure of the bound states is dominated by two-dimensional s- and p-waves, where the latter exceeds 40 percent over a large range of polarization angles for intermediate or strong dipole strength. Finally, we consider the influence of the dimer bound states on the potential many-body ground-state of the system.

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