Strong oscillations of cumulants of photon distribution function in slightly squeezed states
V.V.Dodonov, I.M.Dremin, V.I.Man'ko, P.G. Polynkin
TL;DR
This paper investigates the behavior of cumulants and factorial moments of photon distributions in squeezed and correlated light, revealing strong oscillations in their ratios using polynomial-based calculations.
Contribution
It introduces a novel analysis of photon distribution cumulants and factorial moments, highlighting oscillatory phenomena in squeezed states.
Findings
Discovered strong oscillations in cumulant-to-factorial moment ratios.
Used Chebyshev, Legendre, and Laguerre polynomials for calculations.
Provides new insights into photon distribution properties in quantum optics.
Abstract
The cumulants and factorial moments of photon distribution for squeezed and correlated light are calculated in terms of Chebyshev, Legendre and Laguerre polynomials. The phenomenon of strong oscillations of the ratio of the cumulant to factorial moment is found.
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