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This Ph.D. tutorial discusses ultra-long-range Rydberg molecules, the exotic bound states of a Rydberg atom and one or more ground state atoms immersed in the Rydberg electron's wave function. This novel chemical bond is distinct from an…

Atomic Physics · Physics 2019-09-04 Matthew T Eiles

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

A Rydberg and a ground-state atom can form ultralong range diatomic molecules provided the interaction between the ground-state atom and the Rydberg electron is attractive [C. H. Greene, et al., Phys. Rev. Lett. 85, 2458 (2000)]. A…

Atomic Physics · Physics 2008-07-15 Ivan C. H. Liu , Jovica Stanojevic , Jan M. Rost

We review ultralong-range Rydberg molecules (ULRM), which are bound states between a Rydberg atom and one or more ground-state atoms with bond lengths on the order of thousands of Bohr radii. The binding originates from multiple…

Atomic Physics · Physics 2020-03-18 Christian Fey , Frederic Hummel , Peter Schmelcher

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

Trilobite molecules are ultralong-range Rydberg molecules formed when a high angular momentum Rydberg electron scatters off of a ground-state atom. Their unique electronic structure and highly oscillatory potential energy curves support a…

Atomic Physics · Physics 2024-12-31 Rohan Srikumar , Seth T. Rittenhouse , Peter Schmelcher

We investigate the quantum dynamics of ultra-long-range trilobite molecules exposed to homogeneous electric fields. A trilobite molecule consists of a Rydberg atom and a ground-state atom, which is trapped at large internuclear distances in…

Atomic Physics · Physics 2021-02-24 Frederic Hummel , Kevin Keiler , Peter Schmelcher

An operator that generates an approximate symmetry of long-range Rydberg molecules (LRRMs) formed by two alkali atoms, one in a Rydberg state and the other in the ground state, is identified. This is first done by evaluating the natural…

Atomic Physics · Physics 2023-12-08 H. Rivera-Rodríguez , R. Jáuregui

We report the creation of ultralong-range Sr$_2$ molecules comprising one ground-state $5s^2$ $^1S_0$ atom and one atom in a $5sns$ $^3S_1$ Rydberg state for $n$ ranging from 29 to 36. Molecules are created in a trapped ultracold atomic gas…

Ultralong-range Rydberg molecules, composed of an excited Rydberg atom and a ground-state atom, are characterized by large bond lengths, dipole moments, sensitivity to external fields, and an unusual binding mechanism based on low-energy…

Atomic Physics · Physics 2025-05-13 Agata Wojciechowska , Michał Tomza , Matthew T. Eiles

We investigate the electronic structure of a triatomic Rydberg molecule formed by a Rydberg atom and two neutral ground-state atoms. Taking into account the $s$-wave and $p$-wave interactions we perform electronic structure calculations and…

Atomic Physics · Physics 2016-06-22 Javier Aguilera Fernández , Peter Schmelcher , Rosario González-Férez

Ultralong-range Rydberg molecules provide an exciting testbed for molecular physics at exaggerated scales. In the so-called trilobite and butterfly Rydberg molecules, the Born-Oppenheimer approximation can fail due to strong non-adiabatic…

Atomic Physics · Physics 2023-02-23 Frederic Hummel , Peter Schmelcher , Matthew T. Eiles

The internal electric field of a Rydberg atom electron can bind a polar molecule to form a giant ultralong-range stable polyatomic molecule. Such molecules not only share their properties with Rydberg atoms, they possess huge permanent…

Atomic Physics · Physics 2015-05-27 Seth T. Rittenhouse , M. Mayle , P. Schmelcher , H. R. Sadeghpour

We consider ultralong-range polyatomic Rydberg molecules formed by combining a Rydberg cesium atom and a ground-state RbCs molecule. We explore the regime where the charge-dipole interaction due to the Rydberg electron with the diatomic…

We unravel some peculiar properties of ultralong-range Rydberg molecules formed by an $s$-state $^{87}$Rb Rydberg atom and a corresponding ground-state atom whose electronic orbitals are spherically symmetric and therefore should not be…

Atomic Physics · Physics 2019-02-06 Frederic Hummel , Christian Fey , Peter Schmelcher

We investigate the structure and features of an ultralong-range triatomic Rydberg molecule formed by a Rb Rydberg atom and a KRb diatomic molecule. In our numerical description, we perform a realistic treatment of the internal rotational…

We investigate polyatomic ultralong-range Rydberg molecules consisting of three ground state atoms bound to a Rydberg atom via $s$- and $p$-wave interactions. By employing the finite basis set representation of the unperturbed Rydberg…

Atomic Physics · Physics 2016-08-03 Christian Fey , Markus Kurz , Peter Schmelcher

The interaction between a Rydberg electron and a neutral atom situated inside its extended orbit is described via contact interactions for each atom-electron scattering channel. In ultracold environments, these interactions lead to…

Atomic Physics · Physics 2017-05-10 Matthew T Eiles , Chris H Greene

We explore the external electric field control of a species of ultralong-range molecules that emerge from the interaction of a ground state polar molecule with a Rydberg atom. The external field mixes the Rydberg electronic states and…

Atomic Physics · Physics 2012-06-01 M. Mayle , S. T. Rittenhouse , P. Schmelcher , H. R. Sadeghpour

We report the observation of spin-singlet ultra-long range Rydberg butterfly molecules consisting of a ground-state atom bound to a Rydberg atom by $P$-wave scattering of $^{87}$Rb Rydberg electrons from $^{87}$Rb(5s) atoms. A three-photon…

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