Quantum collapses and revivals in a nonlinear Jaynes-Cummings model

D. A. Cardimona, V. Kovanis, M. P. Sharma, A. Gavrielides

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Abstract

We investigate the atomic inversion dynamics when a multilevel atom interacts with a two-mode quantized radiation field in a Raman-type process. By utilizing the rotating-wave approximation and adiabatically eliminating all but two of the atomic levels, we derive a nonlinear-interaction Hamiltonian for this system. Working in the Schrödinger picture, we obtain numerical results that depend on the width and average photon number of the field statistics. Varying these photon statistics allows us to uncover secondary revivals that arise due to the complicated double sum over the two field modes that appear in the solutions. The origin of this phenomenon is described analytically.

Original languageEnglish
Pages (from-to)3710-3723
Number of pages14
JournalPhysical Review A
Volume43
Issue number7
DOIs
Publication statusPublished - Jan 1 1991
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Cardimona, D. A., Kovanis, V., Sharma, M. P., & Gavrielides, A. (1991). Quantum collapses and revivals in a nonlinear Jaynes-Cummings model. Physical Review A, 43(7), 3710-3723. https://doi.org/10.1103/PhysRevA.43.3710