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Generalized Intensity-Dependent Multiphoton Jaynes–Cummings Model

In: Approximation and Computation in Science and Engineering

Author

Listed:
  • V. Bartzis

    (University of West Attica)

  • N. Merlemis

    (University of West Attica)

  • M. Serris

    (University of West Attica)

  • G. Ninos

    (University of West Attica)

Abstract

In this chapter, we study the Jaynes–Cummings model under multiphoton excitation and in the general case of intensity-dependent coupling strength given by an arbitrary function f. The Jaynes–Cummings theoretical model is of great interest to atomic physics, quantum optics, solid-state physics, and quantum information theory with several applications in coherent control and quantum information processing. As the initial state of the radiation mode, we consider a squeezed state, which is the most general Gaussian pure state. The time evolution of the mean photon number and the dispersions of the two quadrature components of the electromagnetic field are calculated for an arbitrary function f. The mean value of the inversion operator of the atom is also calculated for some simple forms of the function f.

Suggested Citation

  • V. Bartzis & N. Merlemis & M. Serris & G. Ninos, 2022. "Generalized Intensity-Dependent Multiphoton Jaynes–Cummings Model," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Approximation and Computation in Science and Engineering, pages 91-102, Springer.
  • Handle: RePEc:spr:spochp:978-3-030-84122-5_6
    DOI: 10.1007/978-3-030-84122-5_6
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    Keywords

    Mathematical physics; Quantum optics;

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