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Related papers: Exact Solution for a Two-Level Atom in Radiation F…

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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

Fully numerical mesh solutions of 2D and 3D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of…

Atomic Physics · Physics 2007-05-23 Mikhail V. Ivanov

Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g. quantum energetics and thermodynamics, and guiding towards…

Quantum Physics · Physics 2022-02-02 Maria Maffei , Patrice A. Camati , Alexia Auffèves

We present rigorous results for quantum systems with both bound and continuum states subjected to an arbitrary strength time-periodic field. We prove that the wave function takes the form of a sum of time-periodic resonant states with…

Atomic Physics · Physics 2007-08-07 O. Costin , J. L. Lebowitz , C. Stucchio , S. Tanveer

In previous work we studied the spin-boson model in the multiphoton regime, using a rotation that provides a separation between terms that contribute most of the level energies away from resonance, and terms responsible for the level…

Quantum Physics · Physics 2009-11-13 Peter L. Hagelstein , Irfan U. Chaudhary

We solve the two-particle s-wave scattering for an ultracold atom gas confined in a quasi-one-dimensional trapping potential which is periodically modulated. The interaction between the atoms is included in terms of Fermi's pseudopotential.…

Atomic Physics · Physics 2017-09-15 Vicente Leyton , Maryam Roghani , Vittorio Peano , Michael Thorwart

Within the scope of the relativistic quantum theory for electron-laser interaction in a medium and using the resonant approximation for the two degenerated states of an electron in a monochromatic radiation field [1] a nonperturbative…

Quantum Physics · Physics 2007-05-23 H. K. Avetissian , A. L. Khachatryan , G. F. Mkrtchian

We perform a first- principles derivation of the general master equation to study the non-Markovian dynamics of a two-level atom (2LA) interacting with an electromagnetic field (EMF). We use the influence functional method which can…

Quantum Physics · Physics 2011-08-04 Charis Anastopoulos , B. L. Hu

We examine the dynamics of bipartite entanglement between a two-level atom and the electromagnetic field. We treat the Jaynes-Cummings model with a single field mode and examine in detail the exact time evolution of entanglement, including…

Quantum Physics · Physics 2010-10-04 Nick Cummings , B. L. Hu

We relax the usual diagonal constraint on the matrix representation of the eigenvalue wave equation by allowing it to be tridiagonal. This results in a larger solution space that incorporates an exact analytic solution for the non-central…

Chemical Physics · Physics 2009-11-13 A. D. Alhaidari

Two-photon absorption is theoretically analyzed within the semiclassical formalism of radiation-matter interaction. We consider an ensemble of inhomogeneously broadened three-level atoms subjected to the action of two counterpropagating…

Quantum Physics · Physics 2007-05-23 I. Perez-Arjona , G. J. de Valcarcel , Eugenio Roldan

The energy-spectrum of two point-like particles interacting in a 3-D isotropic Harmonic Oscillator (H.O.) trap is related to the free scattering phase-shifts $\delta$ of the particles by a formula first published by Busch et al. It is here…

Nuclear Theory · Physics 2016-01-20 H. S. Köhler

A Lorentz-covariant system of wave equations is formulated for a quantum-mechanical three-body system in one space dimension, comprised of one photon and two identical massive spin one-half Dirac particles, which can be thought of as two…

Mathematical Physics · Physics 2024-11-13 Lawrence Frolov , Samuel E. Leigh , A. Shadi Tahvildar-Zadeh

In this work, we consider a three-level ladder-type atom driven by a coherent field, inspired by the experimental work of Gasparinetti et al. [Phys. Rev. A 100, 033802 (2019)]. When driven on two-photon resonance, the atom is excited into…

Quantum Physics · Physics 2025-10-06 Jacob Ngaha , Scott Parkins , Howard J. Carmichael

An exactly solvable position-dependent mass Schr\"odinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional systems…

Quantum Physics · Physics 2007-05-23 C. Quesne

In a recent work, we provided a standardized and exact analytical formalism for computing in the semiclassical regime the radiation force experienced by a two-level atom interacting with any number of plane waves with arbitrary intensities,…

Quantum Physics · Physics 2021-06-02 L. Podlecki , J. Martin , T. Bastin

A zero-range approach to atom-molecule coupling is developed in analogy to the Fermi-Huang pseudo-potential treatment of atom-atom interactions. It is shown by explicit comparison to an exactly-solvable finite-range model that replacing the…

Other Condensed Matter · Physics 2009-11-11 M. G. Moore

The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different light-atom configurations are considered, and their efficiency in generating large…

Optics · Physics 2009-11-11 Carlo Ottaviani , Stojan Rebic , David Vitali , Paolo Tombesi

An exactly solvable position-dependent mass Schr\"odinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional systems…

Mathematical Physics · Physics 2008-04-24 Christiane Quesne

We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The…

Quantum Physics · Physics 2017-07-17 Przemyslaw Koscik , Anna Okopinska