Near-threshold bound states of the dipole-dipole interaction

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 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.

References in corpus (39)

• A High Phase-Space-Density Gas of Polar Molecules
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• The physics of dipolar bosonic quantum gases
• Quantum computation with trapped polar molecules
• Universality in Few-body Systems with Large Scattering Length
• Bose-Einstein condensation of chromium
• A toolbox for lattice spin models with polar molecules
• The cold atom Hubbard toolbox
• Realizing a lattice spin model with polar molecules
• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Bose-Einstein Condensation of Erbium
• Condensed Matter Theory of Dipolar Quantum Gases
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Ultracold Dipolar Gas of Fermionic ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Molecules cooled below the Doppler limit
• Creation of an ultracold gas of ground-state ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ molecules
• d-wave collapse and explosion of a dipolar Bose-Einstein condensate
• Schemes for robust quantum computation with polar molecules
• Quantum Phases of Cold Polar Molecules in 2D Optical Lattices
• Quantum phase transition in a two-dimensional system of dipoles
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Quantum magnetism with multicomponent polar molecules in an optical lattice
• All-Optical Production of Chromium Bose-Einstein Condensates
• Atomic quantum gases in Kagomé lattices
• Long-Lived Ultracold Molecules with Electric and Magnetic Dipole Moments
• Quantum Magnetism with Polar Alkali Dimers
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Magnetically-Trapped Molecules Efficiently Loaded from a Molecular MOT
• Emergence of chaotic scattering in ultracold Er and Dy
• Quasi-Universal Dipolar Scattering in Cold and Ultracold Gases
• Excitations and Stripe Phase Formation in a 2D Dipolar Bose Gas with Tilted Polarization
• Anisotropy induced Feshbach resonances in a quantum dipolar gas of magnetic atoms
• Long range scattering resonances in strong-field seeking states of polar molecules
• Thermodynamics of a Bose Einstein condensate with free magnetization
• Collisional Control of Ground State Polar Molecules and Universal Dipolar Scattering
• Rotational structures of long-range diatomic molecules
• Frustrated Magnetism of Dipolar Molecules on a Square Optical Lattice: Prediction of a Quantum Paramagnetic Ground State

Cited by in corpus (5)

• Feshbach Resonances in an Erbium-Dysprosium Dipolar Mixture
• BOUND and FIELD: programs for calculating bound states of interacting pairs of atoms and molecules
• Shielding collisions of ultracold CaF molecules with static electric fields
• Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence
• User Manual for MOLSCAT, BOUND and FIELD, Version 2025.0: programs for quantum scattering properties and bound states of interacting pairs of atoms and molecules