NDLI: Continuous measurement of a statistic quantum ensemble

Content Provider	IEEE Xplore Digital Library
Author	Mirrahimi, M. Rouchon, P.
Copyright Year	2006
Description	Author affiliation: Centre Automatique et Systemes, Ecole des Mines de Paris (Mirrahimi, M.; Rouchon, P.)
Abstract	We consider an ensemble of quantum systems whose average evolution is described by a density matrix solution of a Lindbladian differential equation. We will suppose that the decoherence is only due to a highly unstable excited state. We measure then the spontaneously emitted photons. Whenever we consider resonant laser fields, we can remove the fast dynamics associated to the excited state in order to obtain another differential equation for the slow part. We show that this slow differential equation is still of Lindblad type. The decoherence terms are then of second order and the measurement structure depends explicitly on the resonant laser field. The later can be adjusted to give information on a specific linear combination of the density matrix entries. The case of a 3-level system is treated in details and before the general case. On this 3-level system, we show how a simple PI regulator allows us to robustly control the 2-level slow subsystem
Starting Page	2465
Ending Page	2470
File Size	251512
Page Count	6
File Format	PDF
ISBN	1424401712
DOI	10.1109/CDC.2006.377353
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Statistics Differential equations Resonance Control systems Density measurement Laser excitation Regulators Optical coupling Energy states USA Councils
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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