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The Mandel Q parameter measures the departure of the occupation number distribution from Poissonian statistics. It was introduced in quantum optics by L. Mandel.〔Mandel, L., Sub-Poissonian photon statistics in resonance fluorescence, ''Opt. Lett.'' 4:205 (1979)〕 It is a convenient way to characterize non-classical states with negative values indicating a sub-Poissonian statistics, which have no classical analog. It is defined as the normalized variance of the boson distribution: : where is the photon number operator and is the normalized second-order correlation function as defined by Glauber.〔Glauber, R. J., The Quantum Theory of Optical Coherence, ''Phys. Rev.'' 130:2529 (1963)〕 ==Non-classical value== Negative values of Q corresponds to state which variance of photon number is less than the mean (equivalent to sub-Poissonian statistics). In this case, the phase space distribution cannot be interpreted as a classical probability distribution. : The minimal value is obtained for photon number states, which by definition have a well-defined number of photon and for which . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Mandel Q parameter」の詳細全文を読む スポンサード リンク
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