Phys. Rev. A 49, 2133–2150 (1994)Quantum theory of continuous feedbackReceived 22 October 1993; published in the issue dated March 1994 A general theory of quantum-limited feedback for continuously monitored systems is presented. Two approaches are used, one based on quantum measurement theory and one on Hamiltonian system-bath interactions. The former gives rise to a stochastic non-Markovian evolution equation for the density operator, and the latter a non-Markovian quantum Langevin equation. In the limit that the time delay in the feedback loop is negligible, a simple deterministic Markovian master equation can be derived from either approach. Two special cases of interest are treated: feedback mediated by optical homodyne detection and self-excited quantum point processes. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.49.2133
DOI:
10.1103/PhysRevA.49.2133
PACS:
42.50.Lc, 02.50.Fz, 03.65.Bz, 42.50.Dv
See AlsoErratum: H. M. Wiseman, Erratum: Quantum theory of continuous feedback, Phys. Rev. A 49, 5159 (1994). Erratum: H. M. Wiseman, Erratum: Quantum theory of continuous feedback [Phys. Rev. A 49, 2133 (1994)], Phys. Rev. A 50, 4428 (1994). |
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