Quantum nonlinear dynamics of continuously measured systems

Scott, A. and Milburn, G. J. (2001) Quantum nonlinear dynamics of continuously measured systems. Physical Review A, 63 4: 042101-1-042101-10. doi:10.1103/PhysRevA.63.042101

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Author Scott, A.
Milburn, G. J.
Title Quantum nonlinear dynamics of continuously measured systems
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.63.042101
Open Access Status File (Publisher version)
Volume 63
Issue 4
Start page 042101-1
End page 042101-10
Total pages 10
Editor B. Crasemann
Place of publication Ridge, New York
Publisher The American Physical Society
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780101 Mathematical sciences
Abstract Classical dynamics is formulated as a Hamiltonian flow in phase space, while quantum mechanics is formulated as unitary dynamics in Hilbert space. These different formulations have made it difficult to directly compare quantum and classical nonlinear dynamics. Previous solutions have focused on computing quantities associated with a statistical ensemble such as variance or entropy. However a more diner comparison would compare classical predictions to the quantum predictions for continuous simultaneous measurement of position and momentum of a single system, in this paper we give a theory of such measurement and show that chaotic behavior in classical systems fan be reproduced by continuously measured quantum systems.
Keyword Optics
Physics, Atomic, Molecular & Chemical
State Diffusion
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 31 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 11 times in Scopus Article | Citations
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Created: Tue, 14 Aug 2007, 14:54:50 EST