Quantum Probability for Dressed Photons: The Arcsine Law in Nanophotonics

In the present paper we propose a new framework for the investigation of dressed photon from the viewpoint of quantum probability. As a result, we show that a probability measure called the Arcsine law plays crucial roles in nanophotonics. For instance, a concrete formula for the probability density of dressed photon in a fiber probe and a new prediction in photon breeding phenomena are given in terms of the Arcsine law.