Quantum collapses and revivals in a nonlinear Jaynes-Cummings model

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

Research output: Contribution to journalArticle

85 Citations (Scopus)

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 - Atomic, Molecular, and Optical Physics
Volume43
Issue number7
DOIs
Publication statusPublished - 1991
Externally publishedYes

Fingerprint

statistics
photons
radiation distribution
inversions
approximation
atoms
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Quantum collapses and revivals in a nonlinear Jaynes-Cummings model. / Cardimona, D. A.; Kovanis, V.; Sharma, M. P.; Gavrielides, A.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 43, No. 7, 1991, p. 3710-3723.

Research output: Contribution to journalArticle

Cardimona, D. A. ; Kovanis, V. ; Sharma, M. P. ; Gavrielides, A. / Quantum collapses and revivals in a nonlinear Jaynes-Cummings model. In: Physical Review A - Atomic, Molecular, and Optical Physics. 1991 ; Vol. 43, No. 7. pp. 3710-3723.
@article{1f0fe27176ed4af98d9a3e4123c690c0,
title = "Quantum collapses and revivals in a nonlinear Jaynes-Cummings model",
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 Schr{\"o}dinger 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.",
author = "Cardimona, {D. A.} and V. Kovanis and Sharma, {M. P.} and A. Gavrielides",
year = "1991",
doi = "10.1103/PhysRevA.43.3710",
language = "English",
volume = "43",
pages = "3710--3723",
journal = "Physical Review A",
issn = "1050-2947",
publisher = "American Physical Society",
number = "7",

}

TY - JOUR

T1 - Quantum collapses and revivals in a nonlinear Jaynes-Cummings model

AU - Cardimona, D. A.

AU - Kovanis, V.

AU - Sharma, M. P.

AU - Gavrielides, A.

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001316603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001316603&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.43.3710

DO - 10.1103/PhysRevA.43.3710

M3 - Article

VL - 43

SP - 3710

EP - 3723

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 7

ER -