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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 31, Iss. 1 — Jan. 1, 2014
  • pp: 38–44

Photon-added nonlinear coherent states for a one-mode field in a Kerr medium

R. Román-Ancheyta, C. González Gutiérrez, and J. Récamier  »View Author Affiliations


JOSA B, Vol. 31, Issue 1, pp. 38-44 (2014)
http://dx.doi.org/10.1364/JOSAB.31.000038


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Abstract

We construct deformed photon-added nonlinear coherent states (DPANCSs) by application of the deformed creation operator upon the nonlinear coherent states obtained as eigenstates of the deformed annihilation operator and by application of a deformed displacement operator upon the vacuum state. We evaluate some statistical properties like the Mandel parameter, Husimi, and Wigner functions for these states and analyze their differences; we give closed analytical expressions for them. We found a profound difference in the statistical properties of the DPANCSs obtained from the two abovementioned generalizations.

© 2013 Optical Society of America

OCIS Codes
(270.5290) Quantum optics : Photon statistics
(270.6570) Quantum optics : Squeezed states

ToC Category:
Quantum Optics

History
Original Manuscript: August 15, 2013
Revised Manuscript: November 7, 2013
Manuscript Accepted: November 13, 2013
Published: December 6, 2013

Citation
R. Román-Ancheyta, C. González Gutiérrez, and J. Récamier, "Photon-added nonlinear coherent states for a one-mode field in a Kerr medium," J. Opt. Soc. Am. B 31, 38-44 (2014)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-1-38


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