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Damping in the Interaction of a Two-Photon Field and a Two-Level Atom Through Quantized Caldirola-Kanai Hamiltonian

  • A. DehghaniEmail author
  • B. Mojaveri
  • R. Jafarzadeh Bahrbeig
Article

Abstract

Following the lines of the recent papers (Daneshmand and Tavassoly, Int. J. Theor. Phys. 56, 1218 (2017)), we study quantum mechanical treatments of an interaction between a two-level atom with a single-mode field in the two-photon Jaynes-Cummings model, where the Hamiltonian of the field is considered to be the quantized Caldirola-Kanai (CK) Hamiltonian. As a result, we would expect that the quantum dynamics of the two-photon JCM in terms of the CK Hamiltonian is qualitatively different from that of the usual one-photon case. We analytically calculate the explicit form of the atom-field entangled state and numerically evaluate the dynamics of its physical properties. The degree of entanglement, atomic population as well as sub-Poissonian statistics and quadrature squeezing of the field are analyzed. We adjust the latter evolved parameters by appropriately tuning the damping parameter within the CK Hamiltonian and detuning factor. Finally, we report a field detuning asymmetry in the collective statistical behavior.

Keywords

Caldirola-Kanai Entanglement Jaynes-Cummings Atomic inversion Squeezing Sub-Poissonian 

Notes

Acknowledgements

The authors would like to thank the reviewer for thorough reviews and, in particular, for constructive critique and expert suggestions for improvement the presentation.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • A. Dehghani
    • 1
    Email author
  • B. Mojaveri
    • 2
  • R. Jafarzadeh Bahrbeig
    • 2
  1. 1.Department of PhysicsPayame Noor UniversityTehranIran
  2. 2.Department of PhysicsAzarbaijan Shahid Madani UniversityTabrizIran

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