Photon distribution for one mode mixed light with generic gaussian Wigner function
V.V.Dodonov, O.V.Man'ko, V.I.Man'ko
TL;DR
This paper derives an explicit expression for the photon distribution of one-mode Gaussian states using Hermite polynomials, linking quantum uncertainties with photon statistics and covering various known states.
Contribution
It provides a general formula for photon distribution in one-mode Gaussian states, unifying several special cases and connecting quantum uncertainties with photon statistics.
Findings
Explicit photon distribution formula in terms of Hermite polynomials.
Connection established between Schrödinger uncertainty and photon distribution.
Analysis of various special states like thermal, squeezed, and coherent states.
Abstract
For one-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomials of two variables.The mean values and dispersions of photon numbers are obtained for this generic %mixed state.Generating function for photon distribution is discussed.Known partial cases of thermal state,correlated state,squeezed state and coherent state are considered.The connection of Schrodinger uncertainty relation for quadratures with photon distribution is demonstrated explicitly.
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