s-Parameterized phase space distribution for describing no counts registered on a photonic detector

• Published in: Optics communications Vol. 282; no. 24; pp. 4741 - 4744
• Main Authors: Fan, Hong-yi, Lv, Cui-hong
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.12.2009; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Nonclassical field states; squeezed, antibunched and sub-poissonian states; operational definitions of the phase of the field; phase measurements; Optics; Photon statistics and coherence theory; Physics; Quantum optics; Quantum optics; Density operator; Photon counting; Phase space; Coherent states; Photonics
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/j.optcom.2009.09.007

By introducing the generalized Wigner operator for s-parameterized quasiprobability distribution and employing the technique of integration within ordered product (IWOP) of operators (normally ordered, Weyl ordered or antinormally ordered), we derive two new quantum-mechanical formulas for describing no counts registered on a photonic detector when a light field’s density operator ρ is known, one involves ρ ’s s-parameterized distribution function, and the other involves ρ ’s coherent state mean value, when these information is known then using the new formulas to calculate no-photocount would be convenient.