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Springer eBooks

Photon Statistics and Coherence in Light Beams

Ramabhadra Vasudevan

Published Jan 1, 1969• 4 citations
Publisher
DOI
10.1007/978-1-4684-7673-6_11

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The aim of this paper is to analyze the squeezing and statistical properties of superposed output coherent and squeezed laser light beams. In order to carry out the analysis, we have obtained the superposition density operator along with the Q functions, we have calculated the mean photon number, the photon number variance and the quadrature variances for the superposed output light beams. It has been found that the mean photon number and quadrature variances of the superposed output light beams are the sum of the mean photon number and quadrature variances of the separate light beams, respectively. In addition, the mean photon number and quadrature squeezing of the superposed output light beams increase with linear gain coefficient. Keywords: Superposed, Squeezing, Density operator, Coherent light, Photon statistics. DOI : 10.7176/APTA/77-03 Publication date :May 31 st 2019
With the aid of the solutions of the Quantum Langevin equations, we have calculated the Q-functions for the two-mode coherent and subharmonic cavity light beams. We have then determined the Q-function for the superposed two-mode coherent and subharmonic cavity light beams. With the help of the pertinent Q-functions for cavity light beams, we determined the photon statistics, quadrature statistics, and entanglement. we have obtained that the superposed two-mode coherent and subharmonic cavity light beams are in a squeezed state and the squeezing occurs in the plus quadrature. Besides, our analysis shows that at steady state and at threshold, the superposed two-mode coherent and subharmonic light beams have a maximum squeezing of 25%25\%25% below the two-mode vacuum-state level. We have also clearly shown that the superposed two-mode light beam is entangled at steady-state and threshold and the entanglement turned out to be observed in the highly correlated squeezed photons with 75%75\%75% degree of entanglement.
The quantum statistical properties of independent light beams are considered, forming interference fringes, which are in interaction with a particle (electron) beam treated as a two-level system. Using the master equation and the generalized Fokker-Planck equation techniques, the photocount statistics are derived and it is demonstrated that the whole, initially coherent, radiation field remains coherent for all times while single modes exhibit two-peak bistable behaviour, varying their photon statistics from Poisson statistics to some intermediate statistics for coherent and chaotic radiation.