Adiabatic potentials of cesium $(nD_J)_2$ Rydberg-Rydberg macrodimers

TL;DR

This paper calculates the adiabatic potentials of cesium $(nD_J)_2$ Rydberg macrodimers for principal quantum numbers 56 to 62, analyzing their properties and proposing an experimental preparation scheme.

Contribution

It provides detailed calculations of adiabatic potentials for cesium Rydberg macrodimers across various quantum numbers and discusses their experimental relevance and formation methods.

Findings

Most combinations $(n, M, J)$ have a single binding potential.

Binding energies and lengths scale with the effective principal quantum number.

Avoided crossings influence potential shapes and scaling behaviors.

Abstract

Electrostatic multipole interactions generate long-range Rydberg-Rydberg macrodimer. We calculate the adiabatic potentials of cesium $(nD_{J})_2$ Rydberg macrodimers for principal quantum numbers $n$ ranging from 56 to 62, for $J=3/2$ and $5/2$, and for the allowed values of the conserved sum of the atomic angular-momentum components along the internuclear axis, $M$. For most combinations $(n, M, J)$ exactly one binding potential exists, which should give rise to Rydberg macrodimer states. We study the dependence of the adiabatic potentials on the size of the two-body basis sets used in the calculation, and on the maximal order, $q_{max}$, of the multipole terms included in the calculation. We determine the binding energies and lengths of the binding adiabatic potentials, and investigate their scaling behaviors as a function of the effective principal quantum number; these parameters are relevant to experimental preparation of Rydberg-atom macrodimers. Avoided crossings between adiabatic potentials affect the well shapes and the scaling behaviors differently in two distinct domains in $n$. We discuss an experimental scheme for preparing $(nD_J)_2$ Rydberg-atom macrodimers using two-color double-resonant photoassociation.