On the response of linear quantum stochastic systems to single-photon inputs and pulse shaping of photon wave packets

The purpose of this paper is to study the response of linear quantum stochastic systems to continuous mode single photon input fields. Given multi-channel continuous-mode single-photon input fields interacting with a linear quantum optical system which may contain active components, two expressions for the corresponding mean steady state output intensity are derived. In the single channel case, a synthesis theorem is proposed for pulse shaping of single-photon wave packets by all-pass quantum optics networks. Moreover, for the all-pass case, the steady-state states of output fields are derived. Several examples illustrate the main results.