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A generalized class of ultra-long-range Rydberg molecules is proposed which consist of a multichannel Rydberg atom whose outermost electron creates a chemical bond with a distant ground state atom. Such multichannel Rydberg molecules…

Atomic Physics · Physics 2015-11-11 Matthew T. Eiles , Chris H. Greene

We report on the observation of highly excited ($\nu \sim 100)$ vibrational states of a trilobite ultralong-range Rydberg molecule in $^{87}$Rb. These states manifest spectroscopically in a regularly spaced series of peaks red-detuned from…

We present a novel binding mechanism where a neutral Rydberg atom and an atomic ion form a molecular bound state at large internuclear distance. The binding mechanism is based on Stark shifts and level crossings which are induced in the…

Atomic Physics · Physics 2021-12-28 Markus Deiß , Shinsuke Haze , Johannes Hecker Denschlag

We calculate properties of dipolar interacting ultracold molecules or Rydberg atoms in a semi-synthetic three-dimensional configuration -- one synthetic dimension plus a two-dimensional real space optical lattice or periodic microtrap array…

Rydberg molecule, formed by one or more Rydberg atoms, exhibits remarkable properties, including an exceptionally large spatial extent, rich rovibrational level structures, permanent electric dipole moments, and a pronounced sensitivity to…

Atomic Physics · Physics 2026-03-11 Jingxu Bai , Yuechun Jiao , Xiao-Qiang Shao , Weibin Li , Jianming Zhao

We perform a comparative analysis of different computational approaches employed to explore the electronic structure of ultralong-range Rydberg molecules. Employing the Fermi pseudopotential approach, where the interaction is approximated…

We explore the excitation spectra of cold 87Rb atoms to the 55D_3/2 Rydberg state in the presence of microwave (MW) radiation as a function of MW frequency. The spectra reveal several features around the transition-frequencies between…

Atomic Physics · Physics 2025-07-03 H. Failache , J. A. Muniz , L. Velazco , D. Talento , A. Lezama

Quantum information processing with neutral atoms relies on Rydberg excitation for entanglement generation. While the use of heavy divalent or open-shell elements, such as strontium or ytterbium, has benefits due to their optically active…

Laser cooling and trapping of atomic matter waves in optical potentials has enabled rapid progress in quantum science, particularly when combined with Rydberg excitation of the atoms to induce long-range interactions. Here, we propose the…

Atomic Physics · Physics 2026-05-28 Homar Rivera-Rodríguez , Matthew T. Eiles , Tilman Pfau , Florian Meinert

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

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…

Atomic Physics · Physics 2020-09-16 P. Giannakeas , Matthew T. Eiles , F. Robicheaux , Jan-Michael Rost

We investigate the dynamics of Rydberg electrons excited from the ground state of ultracold atoms trapped in an optical lattice. We first consider a lattice comprising an array of double-well potentials, where each double well is occupied…

Other Condensed Matter · Physics 2009-11-13 B. Vaucher , S. J. Thwaite , D. Jaksch

Sufficiently high densities in Bose-Einstein condensates provide favorable conditions for the production of ultralong-range polyatomic molecules consisting of one Rydberg atom and a number of neutral ground state atoms. The chemical binding…

Atomic Physics · Physics 2017-05-10 Matthew T Eiles , Jesus Perez-Rios , F Robicheaux , Chris H Greene

We investigate the long-range, two-body interactions between rubidium and potassium atoms in highly excited ($n=70$) Rydberg states. After establishing properly symmetrized asymptotic basis states, we diagonalize an interaction Hamiltonian…

Atomic Physics · Physics 2023-05-09 Nolan Samboy

We propose a method to realize the Frenkel-Kontorova model using an array of Rydberg dressed atoms. Our platform can be used to study this model with a range of realistic interatomic potentials. In particular, we concentrate on two types of…

Quantum Gases · Physics 2020-10-14 Jorge Mellado Muñoz , Rahul Sawant , Anna Maffei , Xi Wang , Giovanni Barontini

The experimentally-observed non-trivial electronic structure of the Cr$_2$ dimer has made the calculation of its potential energy curve a theoretical challenge in the last decades. By matching the perturbation theory at small internuclear…

Chemical Physics · Physics 2024-08-27 Horacio Olivares-Pilón , Daniel Aguilar-Díaz , Alexander V. Turbiner

Divalent atoms provide excellent means for advancing control in Rydberg atom-based quantum simulation and computing, due to the second optically active valence electron available. Particularly promising in this context are circular Rydberg…

The strong interaction between individual Rydberg atoms provides a powerful tool exploited in an ever-growing range of applications in quantum information science, quantum simulation, and ultracold chemistry. One hallmark of the Rydberg…

Using the reactance matrix approach, we systematically develop new multichannel quantum defect theory models for the singlet and triplet S, P, D and F states of strontium based on improved energy level measurements. The new models reveal…

Atomic Physics · Physics 2014-07-17 C L Vaillant , M P A Jones , R M Potvliege

We predict that ultralong-range Rydberg bi-molecules form in collisions between polar molecules in cold and ultracold settings. The collision of $\Lambda$-doublet nitric oxide (NO) with long-lived Rydberg NO($nf$, $ng$) molecules forms…

Atomic Physics · Physics 2021-02-03 Rosario Gonzalez-Ferez , Janine Shertzer , H. R. Sadeghpour