Scattering and bound states in two-dimensional anisotropic potentials

Abstract

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.

5 pages, 2 figures

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Cited by in corpus (8)

• Mathematical models and numerical methods for spinor Bose-Einstein condensates
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• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
• Interwires polar soliton molecules in a biwire system
• Exact two-body solutions and Quantum defect theory of two dimensional dipolar quantum gas
• Proof of universality in one-dimensional few-body systems including anisotropic interactions
• Non-local divergence-free currents for the account of symmetries in two-dimensional wave scattering
• Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence