Supersymmetric approach to the interaction of a V-type three-level atom with a single mode of electromagnetic field via multi-photon transitions

The interaction of a V -type three-level atom with a single mode of electromagnetic field via multi-photon transitions is analytically solved via supersymmetric unitary operator approach. We have constructed the corresponding supersymmetric generators and performed the diagonalization of the Hamilto...

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Bibliographic Details
Published in:European physical journal plus 2020-08, Vol.135 (8), p.621, Article 621
Main Authors: Abd El-Wahab, N. H., Zait, R. A.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Correlation
Eigenvalues
Electromagnetic fields
Electrons
Evolution
Hamiltonian functions
Mathematical analysis
Mathematical and Computational Physics
Molecular
Operators (mathematics)
Optical and Plasma Physics
Photons
Physics
Physics and Astronomy
Probability distribution
Radiation
Regular Article
Supersymmetry
Theoretical
Wave functions
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Summary:The interaction of a V -type three-level atom with a single mode of electromagnetic field via multi-photon transitions is analytically solved via supersymmetric unitary operator approach. We have constructed the corresponding supersymmetric generators and performed the diagonalization of the Hamiltonian of the atomic system. The time evolution of the atom-field wave functions is derived in an exact form. We studied some quantum effects of the considered system, namely the evolution of both the second-order correlation function of the radiation field and the quasi-probability distribution Q -function is investigated. We conclude that the used method of solution is very simple and can be applied on a variety of similar atomic systems.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-020-00620-4