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Near-threshold bound states of the dipole-dipole interaction.

Karman, Tijs and Frye, Matthew D. and Reddel, John D. and Hutson, Jeremy M. (2018) 'Near-threshold bound states of the dipole-dipole interaction.', Physical review A., 98 (6). 062502.


We study the two-body bound states of a model Hamiltonian that describes the interaction between two field-oriented dipole moments. This model has been used extensively in the many-body physics of ultracold polar molecules and magnetic atoms, but its few-body physics has been explored less fully. With a hard-wall short-range boundary condition, the dipole-dipole bound states are universal and exhibit a complicated pattern of avoided crossings between states of different character. For more realistic Lennard–Jones short-range interactions, we consider parameters representative of magnetic atoms and polar molecules. For magnetic atoms, the bound states are dominated by the Lennard–Jones potential, and the perturbative dipole-dipole interaction is suppressed by the special structure of van der Waals bound states. For polar molecules, we find a dense manifold of dipole-dipole bound states with many avoided crossings as a function of induced dipole or applied field, similar to those for hard-wall boundary conditions. This universal pattern of states may be observable spectroscopically for pairs of ultracold polar molecules.

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Publisher statement:Reprinted with permission from the American Physical Society: Karman, Tijs, Frye, Matthew D., Reddel, John D. & Hutson, Jeremy M. (2018). Near-threshold bound states of the dipole-dipole interaction. Physical Review A 98(6): 062502 © 2018 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:No date available
Date deposited:13 December 2018
Date of first online publication:04 December 2018
Date first made open access:13 December 2018

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