Photon pair generation in a lossy microring resonator. I. Theory

Abstract

We investigate entangled photon pair generation in a lossy microring resonator using an input-output formalism based on the work of Raymer and McKinstrie (Phys. Rev. A 88, 043819 (2013)) and Alsing, et al. (Phys. Rev. A 95, 053828 (2017)) that incorporates circulation factors that account for the multiple round trips of the fields within the cavity. We consider the nonlinear processes of spontaneous parametric down conversion and spontaneous four wave mixing, and we compute the generated biphoton signal-idler state from a single bus microring resonator, along with the generation, coincidence-to-accidental, and heralding efficiency rates. We compare these generalized results to those obtained by previous works employing the standard Langevin input-output formalism.

The original 1705.09227v1 (submitted 25May2017) has been split into two papers (at suggestion of referee). This one (1705.09227v2, Part-I), and a second one, "Photon pair generation in a lossy microring resonator. II. Entanglement in the output mixed Gaussian squeezed state. (arxiv submitted 3Aug2017). Both Part-I and Part-II have been accepted for publication (31Jul2017) in Physical Review A