We investigate a system of two polarized molecules in a layered trap. The molecules reside in adjacent layers and interact purely via the dipole-dipole interaction. We determine the properties of the ground state of the system as a function of the dipole moment and polarization angle. A bound state is always present in the system and in the weak binding limit the bound state extends to a very large distance and shows universal behavior.

Aug 14, 20164 citations

arXiv:1101.4562 · Few-Body Systems

Weakly Bound States of Polar Molecules in Bilayers

D. V. Fedorov, J. R. Armstrong, N. T. Zinner, A. S. Jensen

Published Jan 1, 2011• 5 citations

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DOI: 10.1007/s00601-010-0199-0

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Weakly bound states of polar molecules in bilayers⋆

D. V. Fedorov, J. R. Armstrong, Nikolaj Thomas Zinner +1 more

Aug 14, 20164 citations

Low-energy two-dimensional scattering is particularly sensitive to the existence and the properties of weakly bound states. We show that interaction potentials

V(r)

with the vanishing zero-momentum Born approximation $\ensuremath{\int}\mathit{dr} rV(r)=0$ leads to an anomalously weak bound state that crucially modifies the two-dimensional scattering properties. This anomalous case is especially relevant in the context of polar molecules in bilayer arrangements.