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arXiv:1001.2826 · Reports on Mathematical Physics

Quantum stochastic differential equations and continuous measurements: unbounded coefficients

Ricardo Castro Santis, Alberto Barchielli

Published Apr 1, 2011• 8 citations
arXivHTMLPDF
DOI
10.1016/s0034-4877(11)80014-5

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Multi-photon models are theoretically and experimentally important because in them quantum properly phenomena are verified; as well as squeezed light and quantum entanglement also play a relevant role in quantum information and quantum communication (see Refs. 18–20). In this paper we study a generic model of a multi-photon system with an arbitrary number of pumping and subharmonics fields. This model includes measurement on the system, as could be direct or homodyne detection and we demonstrate the existence of dynamics in the context of Continuous Measurement Theory of Open Quantum Systems (see Refs. 1–11) using Quantum Stochastic Differential Equations with unbounded coefficients (see Refs. 10–15).