Analysis of quantum linear systems’ response to multi-photon states

Guofeng Zhang

Guo‐Feng Zhang

The purpose of this paper is to present a mathematical framework for analyzing the response of quantum linear systems driven by multi-photon states. Both the factorizable (namely, no correlation among the photons in the channel) and unfactorizable multi-photon states are treated. Pulse information of multi-photon input state is encoded in terms of tensor, and response of quantum linear systems to multi-photon input states is characterized by tensor operations. Analytic forms of output correlation functions and output states are derived. The proposed framework is applicable no matter whether the underlying quantum dynamic system is passive or active. The results presented here generalize those in the single-photon setting studied in (Milburn, 2008) and (Zhang and James, 2013}). Moreover, interesting multi-photon interference phenomena studied in (Sanaka, Resch, and Zeilinger, 2006), (Ou, 2007), and (Bartley, et al., 2012) can be reproduced in the proposed framework

Harald Weinfurter

Guofeng Zhang, M. R. James

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.

Hendra I. Nurdin, Naoki Yamamoto

Zhengyi Sun, Shibei Xue, Zibo Miao +4 more

In this paper, we analyze the response of passive quantum linear systems in a non-Markovian environment to single photon input fields. Based on an augmented modelling method for non-Markovian quantum systems, analytic forms of output intensity and output covariance function in steady-state are derived. These results allow us to quantitatively analyze the influence of non-Markovian environment on system response under a framework of linear system theory.