Quantum Master Equation and Filter for Systems Driven by Fields in a Single Photon State
This work provides a theoretical framework for modeling open quantum systems driven by single-photon fields, relevant to quantum optics and quantum information.
The paper derives quantum master and filter equations for systems coupled to continuous-mode single photon fields, using a quantum stochastic unitary model. The results are illustrated with an example.
The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.