Stochastic Schrödinger equations

By Luc Bouten, Madalin Guta, H. Maassen. 2003

144 citations recorded by the source corpus.

A derivation of Belavkin's stochastic Schrodinger equations is given using quantum filtering theory. We study an open system in contact with its environment, the electromagnetic field. Continuous observation of the field yields information on the system: it is possible to keep track in real time of the best estimate of the system's quantum state given the observations made. This estimate satisfies a stochastic Schrodinger equation, which can be derived from the quantum stochastic differential equation for the interaction picture evolution of system and field together. Throughout the paper we focus on the basic example of resonance fluorescence.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9631cf6a8d9bfc08d8834c1db96d2e38e0346bb0

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

An Introduction to Quantum Filtering (2006, methodology): “Recent experiments implementing quantum feedback controls [3, 35, 58, 21] have led to renewed interest in the field, which is now rapidly expanding [10, 64, 28, 27, 17, 43, 15, 61, 16, 44, 37, 30, 60, 62, 18].”
Feedback control of quantum state reduction (2004, background): “However in the noncommutative case this expression is ambiguous asTr[ρAB] 6= Tr[ρBA].”