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We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box of impenetrable wall. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with a polynomial basis…

Quantum Physics · Physics 2025-04-29 Paolo Amore , Francisco M. Fernández

Although hydrogen in external fields is a paradigm for the application of periodic orbits and the Gutzwiller trace formula to a real system, the trace formula has never been applied successfully to other Rydberg atoms. We show that spectral…

chao-dyn · Physics 2009-10-31 P. A. Dando , T. S. Monteiro , S. M. Owen

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

The standard solution of the Schroedinger equation for the hydrogen atom is analyzed. Comparing with the recently established internal properties of electrons it is found, that these solutions cannot be seen as physically valid states of…

Quantum Physics · Physics 2009-09-25 W. A. Hofer

A simple model of an atom interacting with the quantized electromagnetic field is studied. The atom has a finite mass $m$, finitely many excited states and an electric dipole moment, $\vec{d}_0 = -\lambda_{0} \vec{d}$, where $\| d^{i}\| =…

Mathematical Physics · Physics 2015-05-20 Miguel Ballesteros , Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

Freely falling point-like objects converge toward the center of the Earth. Hence the gravitational field of the Earth is inhomogeneous, and possesses a tidal component. The free fall of an extended quantum mechanical object such as a…

Quantum Physics · Physics 2010-11-03 R. Y. Chiao , S. J. Minter , K. Wegter-McNelly , L. A. Martinez

We develop an approach to realize a quantum switch for Rydberg excitation in atoms with $Y$-typed level configuration. We find that the steady population on two different Rydberg states can be reversibly exchanged in a controllable way by…

Atomic Physics · Physics 2017-09-14 Jing Qian

We study a driven-dissipative system of atoms in the presence of laser excitation to a Rydberg state and spontaneous emission. The atoms interact via the blockade effect, whereby an atom in the Rydberg state shifts the Rydberg level of…

Quantum Gases · Physics 2011-09-14 Tony E. Lee , H. Häffner , M. C. Cross

We study an open quantum system of atoms with long-range Rydberg interaction, laser driving, and spontaneous emission. Over time, the system occasionally jumps between a state of low Rydberg population and a state of high Rydberg…

Quantum Gases · Physics 2012-01-10 Tony E. Lee , H. Häffner , M. C. Cross

We investigate the impact of an electric field on the structure of ultralong-range polar diatomic Rydberg molecules. Both the s-wave and p-wave interactions of the Rydberg electron and the neutral ground state atom are taken into account.…

Atomic Physics · Physics 2015-06-15 Markus Kurz , Peter Schmelcher

The coherent interaction between ensembles of helium Rydberg atoms and microwave fields in the vicinity of a solid-state co-planar waveguide is reported. Rydberg-Rydberg transitions, at frequencies between 25 GHz and 38 GHz, have been…

Atomic Physics · Physics 2012-02-23 S. D. Hogan , J. A. Agner , F. Merkt , T. Thiele , S. Filipp , A. Wallraff

Freely falling point-like objects converge towards the center of the Earth. Hence the gravitational field of the Earth is inhomogeneous, and possesses a tidal component. The free fall of an extended quantum object such as a hydrogen atom…

Quantum Physics · Physics 2015-05-18 Raymond Y. Chiao

Rydberg atom arrays constitute a promising quantum information platform, where control over several hundred qubits has been demonstrated. Further scaling could significantly benefit from coupling to integrated optical or electronic devices,…

Networks of Rydberg atoms provide a powerful basis for quantum simulators and quantum technologies. Inspired by matter-wave atomtronics, here we engineer switches, diodes and universal logic gates. Our schemes control the Rydberg excitation…

Quantum Physics · Physics 2025-05-26 Philip Kitson , Tobias Haug , Antonino La Magna , Oliver Morsch , Luigi Amico

We examine topological phases and symmetry-protected electronic edge states in the context of a Rydberg composite: a Rydberg atom interfaced with a structured arrangement of ground-state atoms. The electronic Hamiltonian of such a composite…

Quantum Physics · Physics 2024-05-20 Matthew T. Eiles , Christopher W. Wächtler , Alexander Eisfeld , Jan M. Rost

Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a classical object while the electron is regarded as a quantum object. We use a well known mean-field approach to describe this hybrid hydrogen…

Quantum Physics · Physics 2013-09-24 Fei Zhan , Biao Wu

Rydberg atoms as versatile tools for quantum applications are extremely sensitive to electric fields. When utilizing these atoms, it becomes imperative to comprehensively characterize and mitigate any residual electric fields present in the…

We consider a single Rydberg atom having two degenerate levels interacting with the radiation field in a single-mode ideal cavity. The transition between the levels is carried out by a $\Lambda$-type degenerate two-photon process via a…

atom-ph · Physics 2008-02-03 N. Nayak , S. S. Hassan , T. Biswas

We study the Hydrogen atom as a quantum mechanical system with a Coulomb like potential, with a semiclassical approach based on an effective description of quantum mechanics. This treatment allows us to describe the quantum state of the…

Quantum Physics · Physics 2012-03-23 Guillermo Chacón-Acosta , Héctor H. Hernández

Assemblies of highly excited Rydberg atoms in an ultracold gas can be set into motion by a combination of van-der-Waals and resonant dipole-dipole interactions. Thereby, the collective electronic Rydberg state might change due to…

Atomic Physics · Physics 2021-12-15 Ritesh Pant , Rajat Agrawal , Sebastian Wüster , Jan-Michael Rost