On the electrostatic interactions involving long-range Rydberg molecules

Abstract

A ground state atom immersed in the wave function of the valence electron of a Rydberg atom can generate a long-range Rydberg molecule (LRRM). In this work, using the multipole expansion of the electrostatic interaction in prolate spheroidal coordinates, approximate and compact expressions of the electrostatic potential that determine the chemistry of trilobite and butterfly LRRM are explored. It is shown that even the spheroidal monopole term can be used to describe general features of the potential generated by a LRRM at short distances. It is also shown that even at long separations that allow a perturbative description of the intermolecular interaction between two LRRM, the convergence of the multipole spheroidal expansion is faster than that of its spherical analogue.

arXiv comment17 pages, 9 figures

References in corpus (22)

• Production of trilobite Rydberg molecule dimers with thousand-Debye permanent electric dipole moments
• Observation of pendular butterfly Rydberg molecules
• Ultracold Rydberg Molecules
• Observation of blue-shifted ultralong-range Cs${}_2$ Rydberg molecules
• Alignment of D-state Rydberg molecules
• Photoassociation of long-range $nD$ Rydberg molecules
• Ultralong-Range Rydberg Molecules in a Divalent-Atomic System
• Excitation of weakly-bound molecules to trilobite-like Rydberg states
• A Hamiltonian for the inclusion of spin effects in long-range Rydberg molecules
• Ultralong-range Rydberg molecules
• Trilobites, butterflies, and other exotic specimens of long-range Rydberg molecules
• Polyatomic Molecules Formed with a Rydberg Atom in an Ultracold Environment
• Long-range Rydberg-atom-ion molecules of Rb and Cs
• Ultracold molecular Rydberg physics in a high density environment
• Photo-association of trilobite Rydberg molecules via resonant spin-orbit coupling
• Electrically Dressed Ultralong-Range Polar Rydberg Molecules
• Heteronuclear long-range Rydberg molecules
• Polyatomic trilobite Rydberg molecules in a dense random gas
• Dressed ion-pair states of an ultralong-range Rydberg molecule
• Anisotropic blockade using pendular Rydberg butterfly molecules
• Alignment of s-state Rydberg molecules in magnetic fields
• Electric field-induced wave-packet dynamics and geometrical rearrangement of trilobite Rydberg molecules