Near-threshold bound states of the dipole-dipole interaction

Karman, Tijs; Frye, Matthew D.; Reddel, John D.; Hutson, Jeremy M.

Abstract

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.

Citation

Karman, T., Frye, M. D., Reddel, J. D., & Hutson, J. M. (2018). Near-threshold bound states of the dipole-dipole interaction. Physical Review A, 98(6), Article 062502. https://doi.org/10.1103/physreva.98.062502

• Journal Article Type: Article
• Online Publication Date: Dec 4, 2018
• Publication Date: Dec 4, 2018
• Deposit Date: Dec 13, 2018
• Publicly Available Date: Dec 13, 2018
• Journal: Physical Review A
• Print ISSN: 1050-2947
• Electronic ISSN: 1094-1622
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 98
• Issue: 6
• Article Number: 062502
• DOI: https://doi.org/10.1103/physreva.98.062502