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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 266–276

Entropic uncertainty in two two-level atoms interacting with a cavity field in presence of degenerate parametric amplifier

E. M. Khalil, M. Sebawe Abdalla, A. S.-F. Obada, and Jan. Peřina  »View Author Affiliations


JOSA B, Vol. 27, Issue 2, pp. 266-276 (2010)
http://dx.doi.org/10.1364/JOSAB.27.000266


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Abstract

The analytical solution of the problem of two two-level atoms with degenerate two-photon transitions interacting with a single-mode radiation field in the presence of a parametric amplifier term is presented. The purity of the atomic state has been used to measure the degree of entanglement between the atom and the field. The temporal evolution of variance and entropy squeezing as well as atomic inversion for the single-atom case are studied. It has been shown that maximum squeezing for the variance and entropy squeezing occurs when the ratio between the amplifier coupling λ 3 and the field frequency ω equals 0.26. Increasing the value of the ratio λ 3 ω further leads to the vanishing of squeezing from the system. It is also noted that the existence of the coupling parameter results in the system never reaching the pure state except at the points of revival times. The Q function has been also considered to give more information in the phase space about the system. These aspects are sensitive to changes in the amplifier parameter.

© 2010 Optical Society of America

OCIS Codes
(270.5290) Quantum optics : Photon statistics
(270.6570) Quantum optics : Squeezed states
(270.6630) Quantum optics : Superradiance, superfluorescence

ToC Category:
Quantum Optics

History
Original Manuscript: July 2, 2009
Revised Manuscript: November 7, 2009
Manuscript Accepted: November 14, 2009
Published: January 19, 2010

Citation
E. M. Khalil, M. Sebawe Abdalla, A. S.-F. Obada, and Jan. Peřina, "Entropic uncertainty in two two-level atoms interacting with a cavity field in presence of degenerate parametric amplifier," J. Opt. Soc. Am. B 27, 266-276 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-2-266

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