Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Theoretical Physics

On the Interaction Between a Time-Dependent Field and a Two-Level Atom: Path Integral Treatment

Hilal Benkhelil, Mekki Aouachria

Published Nov 2, 2020• 0 citations
Publisher
DOI
10.1007/s10773-020-04641-8

Related papers

Time-dependent interaction between a two-level atom and bimodal electromagnetic field

Eied Mahmoud Khalil, S. Abdel‐Khalek, S. Al‐Awfi +1 more

Optical and Quantum Electronics•May 18, 2020•2 citations

Spin Coherent State Path Integral For The Interaction Of Two-Level System With Time Dependent Non-Uniform Magnetic Field

Rima Rekik, Mekki Aouachria

We study the movement of a two-level atom in interaction with time dependent nonuniform magnetic filed using the path integral formalism. The propagator is first written in the standard form by replacing the spin by a unit vector aligned along the polar and azimuthal directions. Then it is determined exactly using perturbation methods. Thus the Rabi formula of the system are deduced.

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering•Feb 4, 2014•0 citations

Interaction of a two-level atom with an external field

L. É. Pargamanik, L. V. Chebotarev

•Aug 1, 1974•0 citations

Treatment of a Damped Two-level Atom in an Electromagnetic Wave by the Path Integral Formalism

Mekki Aouachria, L. Chétouani

The applications of the path integral formalism have widely increased since a large class of potentials have been resolved [1]. However, it is quite rare to find an explicit calculation for interactions that include spin [2]. As is commonly known, spin is a fundamental physical notion for the comprehension of atomic propertics. Recently, the behavior of a damped two-level atom with an electromagnetic wave of circular polarization has been studied using the Schrodinger equation approach [3]. The same problem has been considered without damping [4]. The purpose of this article is to deal with this same problem using the path integral formalism. The two-level atom with a mass m and an angular frequency ! has a dipole moment D. The dynamics of the atom in interaction with a wave is described by the following Hamiltonian:

Chinese Journal of Physics•Oct 1, 2002•4 citations

Treatment Of Spin-1/2 Particle In Interaction With A Time-Dependent Magnetic Field By The Fermionic Coherent-State Path-Integral Formalism

Mekki Aouachria

We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering•Feb 6, 2014•0 citations

Time-Dependent Quantum Mechanics of Two-Level Systems

James P. Lavine

WORLD SCIENTIFIC eBooks•Jun 4, 2018•6 citations
The applications of the path integral formalism have widely increased since a large class of potentials have been resolved [1]. However, it is quite rare to find an explicit calculation for interactions that include spin [2]. As is commonly known, spin is a fundamental physical notion for the comprehension of atomic propertics. Recently, the behavior of a damped two-level atom with an electromagnetic wave of circular polarization has been studied using the Schrodinger equation approach [3]. The same problem has been considered without damping [4]. The purpose of this article is to deal with this same problem using the path integral formalism. The two-level atom with a mass m and an angular frequency ! has a dipole moment D. The dynamics of the atom in interaction with a wave is described by the following Hamiltonian: