Photon Counting Statistics of Squeezed Light

R.W.F. van der Plank, L.G. Suttorp

Jianming Huang, Prem Kumar

We present photon-counting distributions of multimode squeezed light of bandwidth B. Such light, for example, is generated by the intracavity parametric down-converter of Wu et al. [Phys. Rev. Lett. 57, 2520 (1986)], which has now become a standard source for generating highly squeezed light. By expanding the electric-field operator into relevant modes over the counting interval T and applying the Bogoliubov transformation that generates squeezing, we calculate the photon-counting distributions under both BT\ensuremath{\gg}1 and BT\ensuremath{\ll}1 conditions. We find that the probability for counting an odd number of photons is identically zero under the former condition, whereas the latter is equivalent to having a photodetector with quantum efficiency that is much less than unity.

Gerd Breitenbach, Stephan Schiller, J. Mlynek

Gabriel Bédard

Jianming Huang, Prem Kumar

In this paper, we present photon‐counting distributions of multimode squeezed light of bandwidth B. By expanding the electric‐field operator into relevant modes over the counting interval T and applying the Bogoliubov transformation that generates squeezing, we calculate the counting distributions under both T≂2π/B and T≫2π/B conditions. Effect of nonunity quantum efficiency of the photodetector is also considered.

Misrak Getahun, Gomera Biyazn

We theoretically investigate the quantum statistical properties of a two-mode cavity light generated by a ∨ -type three-level atom interacting with nondegenerate subharmonic light and coupled to a two-mode squeezed vacuum reservoir. Using the master equation, we obtain steady-state expectation values for the atomic and cavity-mode operators. Based on these results, we analyze the global and local photon number variances, intensity fluctuation spectrum, joint photon number distribution, and photon count statistics. Our results reveal that squeezing parameter and subharmonic generation significantly enhance intensity fluctuations, as well as the mean and variance of photon counts, whereas atom-field coupling and cavity decay suppress them. The system exhibits super-Poissonian photon statistics, indicating that photon number fluctuations exceed the mean photon number. Furthermore, the photon count variance, which incorporates intracavity transmission and input noise, increases with detector efficiency. These results provide a comprehensive picture of photon statistics in atom-photon systems and guide the design of advanced quantum optical devices.