Higherorder squeezing and subpoissonian photon statistics in CARS and CAHRS
 D. K. Giri,
 P. S. Gupta,
 M. K. Mahan,
 Ajay Prasad
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The Squeezing and subpoissonian photon statistics of an optical field are a purely quantum mechanical phenomenon and has been accepted as means of achieving noise below the quantum shotnoise limit. The effect of higherorder squeezing and subpoissonian nature of an optical field in coherent antiStokes Raman scattering (CARS) and coherent antiStokes hyper Raman scattering (CAHRS) are investigated under shorttime approximation. The coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators are established and solved under shorttime scale. The dependence of squeezing on the number of photons is also investigated. It is also shown that higherorder squeezing allows a much larger fractional noise reduction than lowerorder squeezing. The occurrence of amplitude squeezing effects of the radiation field in the fundamental mode is investigated in both the processes. The present work shows that squeezing is greater in CAHRS than the corresponding squeezing in CARS. It is also shown that squeezing is greater in stimulated process than corresponding squeezing in spontaneous interaction. The conditions for obtaining maximum and minimum squeezing are obtained. The photon statistics of the pump mode in the processes has also been investigated and found to be subpoissonian in nature.
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 Title
 Higherorder squeezing and subpoissonian photon statistics in CARS and CAHRS
 Journal

Optical and Quantum Electronics
Volume 42, Issue 4 , pp 215229
 Cover Date
 20100301
 DOI
 10.1007/s110820119445z
 Print ISSN
 03068919
 Online ISSN
 1572817X
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Higherorder
 Squeezing of radiation
 Subpoissonian photon statistics
 CARS
 CAHRS
 Photonnumber operator
 Industry Sectors
 Authors

 D. K. Giri ^{(1)}
 P. S. Gupta ^{(2)}
 M. K. Mahan ^{(1)}
 Ajay Prasad ^{(3)}
 Author Affiliations

 1. Department of Physics, Sindri College, Sindri, P.O. Sindri, Dhanbad, 828 122, India
 2. Department of Applied Physics, Indian School of Mines, Dhanbad, 826 004, India
 3. Department of Physics, PKRM College, Dhanbad, 826 004, India