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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

We consider the classical map proposed previously to be the exact classical analogue of Rydberg Molecules calculated with the approximations relevant to the multi-channel quantum defect theory. The resulting classical map is analyzed at…

Chaotic Dynamics · Physics 2009-10-31 F. Leyvraz , M. Lombardi , T. H. Seligman

This is a review of Glauber's asymptotic diffraction theory, in which diffractive scattering is described in terms of interference between semiclassical amplitudes, resulting from a stationary-phase approximation. Typically two such…

Nuclear Theory · Physics 2019-10-17 Per Osland

We study the effect of edge diffraction on the semiclassical analysis of two dimensional quantum systems by deriving a trace formula which incorporates paths hitting any number of vertices embedded in an arbitrary potential. This formula is…

chao-dyn · Physics 2009-10-28 Henrik Bruus , Niall D. Whelan

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

Atoms with a highly excited electron, called Rydberg atoms, can form unusual types of molecular bonds. The bond differs from the well known ionic and covalent bonds not only by its binding mechanism, but also by its bond length ranging up…

Atomic Physics · Physics 2022-05-20 N. Zuber , V. S. V. Anasuri , M. Berngruber , Y. -Q. Zou , F. Meinert , R. Löw , T. Pfau

We analyze the semiclassical limit of spectral theory on manifolds whose metrics have jump-like discontinuities. Such systems are quite different from manifolds with smooth Riemannian metrics because the semiclassical limit does not relate…

Analysis of PDEs · Mathematics 2015-09-17 Dmitry Jakobson , Yuri Safarov , Alexander Strohmaier , Yves Colin de Verdiere

The interaction of a weakly bound Rydberg electron with an electromagnetic half-cycle pulse (HCP) is described with the help of a multidimensional semiclassical treatment. This approach relates the quantum evolution of the electron to its…

Quantum Physics · Physics 2009-10-31 O. Zobay , G. Alber

We study a general problem of the translational/rotational/vibrational/electronic dynamics of a diatomic molecule exposed to an interaction with an arbitrary external electromagnetic field. The theory developed in this paper is relevant to…

Quantum Physics · Physics 2016-09-28 Milan Sindelka , Nimrod Moiseyev

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

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

The dynamics of Rydberg states of atomic hydrogen illuminated by resonant elliptically polarized microwaves is investigated both semiclassically and quantum mechanically in a simplified two-dimensional model of an atom. Semiclassical…

chao-dyn · Physics 2009-10-31 Krzysztof Sacha , Jakub Zakrzewski

The standard closed-orbit theory is extended for the photodetachment of negative ions in a time-dependent electric field. The time-dependent photodetachment rate is specifically studied in the presence of a single-cycle terahertz pulse,…

Atomic Physics · Physics 2016-05-25 B. C. Yang , F. Robicheaux

Different theoretical methods used for the description of diffractive processes in small-x deep inelastic scattering are reviewed. The semiclassical approach, where a partonic fluctuation of the incoming virtual photon scatters off a…

High Energy Physics - Phenomenology · Physics 2009-02-20 A. Hebecker

Semiclassical periodic-orbit theory and closed-orbit theory represent a quantum spectrum as a superposition of contributions from individual classical orbits. Close to a bifurcation, these contributions diverge and have to be replaced with…

Chaotic Dynamics · Physics 2009-11-10 T. Bartsch , J. Main , G. Wunner

Real atomic systems, like the hydrogen atom in a magnetic field or the helium atom, whose classical dynamics are chaotic, generally present both discrete and continuous symmetries. In this letter, we explain how these properties must be…

Chaotic Dynamics · Physics 2016-08-16 Benoît Grémaud

In the present talk diffraction in deep inelastic scattering is discussed in the framework of the semiclassical approach. The main emphasis is on the possibility of a consistent semiclassical description of both hard and soft colour singlet…

High Energy Physics - Phenomenology · Physics 2016-11-03 A. Hebecker

Vibrational dynamics in conventional molecules usually takes place on a timescale of picoseconds or shorter. A striking exception are ultralong-range Rydberg molecules, for which dynamics is dramatically slowed down as a consequence of the…

We propose an approach to detect individual Rydberg molecules with each molecule consisting of two atoms in different Rydberg states. The scheme exploits the movement of atoms in the presence of an external force that exerts only on atoms…

Quantum Physics · Physics 2017-12-22 Mingxia Huo

It is common knowledge that atoms can form molecules if they attract each other. Here, we show that it is possible to create molecules where bound states of the atoms are not the result of attractive interactions but have the topological…

Quantum Physics · Physics 2022-09-05 Ali Emami Kopaei , Xuedong Tian , Krzysztof Giergiel , Krzysztof Sacha