Generalized local frame transformation theory for ultralong-range Rydberg molecules

Abstract

A detailed theoretical framework for highly excited Rydberg molecules is developed based on the generalized local frame transformation. Our approach avoids the use of pseudopotentials and yields analytical expressions for the body-frame reaction matrix. The latter is used to obtain the molecular potential energy curves, but equally it can be employed for photodissociation, photoionization, or other processes. To illustrate the reliability and accuracy of our treatment we consider the Rb${}^{\ast }-$Rb Rydberg molecule and compare our treatment with state-of-the-art alternative approaches. As a second application, the present formalism is used to re-analyze the vibrational spectra of Sr${}^{\ast }-$Sr molecules, providing additional physical insight into their properties and a comparison of our results with corresponding measurements.

arXiv comment13 pages, 8 figures and 1 table

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Cited by in corpus (7)

• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Synthetic dimension-induced conical intersections in Rydberg molecules
• Heteronuclear long-range Rydberg molecules
• Dressed ion-pair states of an ultralong-range Rydberg molecule
• Electric field-induced wave-packet dynamics and geometrical rearrangement of trilobite Rydberg molecules
• Green's function treatment of Rydberg molecules with spins
• Kato's theorem and ultralong-range Rydberg molecules