Waiting times for the even and odd coherent states

Eric Seglem, Reeta Vyas

Photon-number and wait-time distributions are studied for superposed coherent states (SCS), and superposed squeezed-vacuum states (SSVS). The odd-cat (even-cat) states always show antibunching (bunching), generalized SCS show bunching and antibunching, and SSVS always show bunching.

S. Sivakumar

Stefano Mancini

Ching Tsung Lee

Antibunching is defined to be when the conditional waiting time in the photodetection is longer than the unconditional one. However, when this criterion is used on the waiting times for the closed-system detection of one photon from the so-called odd-shadowed thermal state, it shows no antibunching, although the state is proven to be non-classical. It does show antibunching in the waiting times for two-photon detection. This provides the motivation for extending the concept of photon antibunching to the detection of more than one photon. The general expressions for the expectation values of unconditional and conditional waiting times for multiphoton detection are derived. Then it is rigorously proven that multiphoton antibunching implies non-classicality which is defined to be when the P function is not positive definite.

Amitabh Joshi, Mritunjay Singh

We discuss the two-photon Jaynes-Cummings model prepared in even or odd coherent states in terms of its dynamical evolution and the statistical aspects of field, such as intensity-intensity correlation and squeezing. Time evolution of the quasiprobability function has also been investigated. This study reveals how the quantum interference present in the even and odd coherent states affects the nonlinear process of the two-photon transition.

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng