Noncoherent states having Poissonian statistics

On the Measurement of the Phase Distribution of Field States

“…( 5), the visibility v in the interferometer, when the probe field is one of the states in Eq. (7), is given by…”

“…The knowledge of P n does not fully characterize a field state |Ψ at all: actually, there are many examples of distinct field states having the same statistical distribution P n . [6][7][8] In such cases, the distinction among these fields can be obtained by looking at their complementary distribution P (θ). To our knowledge, determining P (θ) experimentally is not a well established procedure, so a proposal for its implementation is in order.…”

Mixed states having Poissonian statistics: how to distinguish them from coherent states?

“…In the last two decades, the study of nonclassical properties shown by several states of the quantized radiation ÿeld has become one of the main goals in quantum optics. More recently, comparison between two states possessing some identical properties has also become a topic of investigation as, for example, pure states having statistics of thermal states [12,13] and noncoherent pure states having statistics of coherent states [14]. The aim of the present work is to discuss the mixtures of number states having Poissonian statistics, which will be referred to as Poissonian mixed states (PMS), comparing their properties with those of coherent states (CS) for which the statistics is also Poissonian.…”