Output photon statistics for a beam splitter with input squeezed light

Malvin Carl Teich, Bahaa E. A. Saleh

Antibunching, photon-number squeezing, and quadrature squeezing represent characteristics of nonclassical electromagnetic fields that have been observed in the laboratory. Experiments involving nonclassical light often make use of beam splitters to superimpose light beams. We discuss the photon statistics that arise from the superimposition of two arbitrary (not necessarily independent) quantum fields at a device such as a beam splitter. The photomixing density operator of the superimposition field is presented, and the behavior of the balanced mixer is examined in the general case.1 The failure of classical probability theory as a descriptor of the relationship between the photon statistics at the output and at the input of the beam splitter is elucidated.

Young‐Chul Kim

Hu Pen

Based on phase space method,we study entanglement and statistical properties of squeezed vacuum state after an beam splitter.We adopt the criterion of logarithmic negativity to study the entanglement properties of the output light field.The results show that the maximum entanglement is found for the symmetrical beam splitter and the amount of entanglement increases with the squeezing parameter.In addition,we also use the Wigner-Weyl rules to study the statistical properties of light field in one of the output ports.It is found that the nonclassicality of the output field will change by adjusting the relative parameter of the input light field and the beam splitter.

Weizhi Qu, Jian Sun, Eugeniy E. Mikhailov +3 more

Reeta Vyas, Surendra Singh

Sun-Hyun Youn

From the explicit form of the probability amplitude for two cascade-placed beam splitters (with one squeezed state input and two coherent state inputs), we calculated the probability amplitude of the output beam as a function of the transmittance of the two beam splitters and the amplitude and the relative phase of the three input states. At a certain condition, the output beam had no vacuum and was in a highly nonclassical state that contained more than one photon. Armed with explicit probability amplitude for two beam splitters and two coherent states, the squeezed vacuum state might be a very useful tool for generating highly nonclassical light.