Scattering and bound states in two-dimensional anisotropic potentials

Details Scattering and bound states in two-dimensional anisotropic potentials Scattering and bound states in two-dimensional anisotropic potentials

2012-01-30

arxiv.org/abs/1201.6167v1

Phys. Rev. A 84, 050701(R) (2011)

Physics

Condensed Matter

Quantum Gases

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.84.050701

We propose a framework for calculating scattering and bound state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the method is suitable for efficient numerical computations. We calculate the s-wave phase shift and binding energy of polar molecules in two layers polarized by an external field along an arbitrary direction. We find that scattering depends strongly on their polarization direction and that absolute interlayer binding energies are larger than thermal energies at typical ultracold temperatures.

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