Cavity driven by a single photon: conditional dynamics and non-linear phase shift

TL;DR

This paper investigates the conditional dynamics and non-linear phase shifts in a cavity driven by a single photon, using stochastic master equations to reveal new features of cross phase modulation.

Contribution

It applies stochastic master equations to analyze the conditional dynamics of a cavity driven by a single photon, providing new insights into non-linear phase shifts.

Findings

Exact integration reveals features of cross phase modulation not seen in previous models.

Conditional dynamics depend on the single photon input and cavity parameters.

The approach enhances understanding of quantum non-linear effects in cavity systems.

Abstract

We apply the stochastic master equations (quantum filter) derived by Gough et al. (Proc. 50th IEEE Conference on Decision and Control, 2011) to a system consisting of a cavity driven by a multimode single photon field. In particular, we analyse the conditional dynamics for the problem of cross phase modulation in a doubly resonant cavity. Through the exact integration of the stochastic equations, our results reveal features of the problem unavailable from previous models.