Quantum Master Equation and Filter for Systems Driven by Fields in a Single Photon State
arXiv:1107.2973 · doi:10.1109/CDC.2011.6160675
Abstract
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.
7 pages, 2 figures. Accepted for publication in the joint 50th IEEE Conference on Decision and Control (CDC) and European Control Conference (ECC), 2011 (http://control.disp.uniroma2.it/cdcecc2011/)
References in corpus (6)
Cited by in corpus (7)
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- Wigner spectrum and coherent feedback control of continuous-mode single-photon Fock states
- Physical Reduced Stochastic Equations for Continuously Monitored Non-Markovian Quantum Systems with a Markovian Embedding
- Markovian Embeddings of Non-Markovian Quantum Systems: Coupled Stochastic and Quantum Master Equations for Non-Markovian Quantum Systems