Quantum Description of Classical Apparatus: Zeno Effect and Decoherence

Quantum Description of Classical Apparatus: Zeno Effect and Decoherence We study the measurement process by treating classical detectors entirely quantum mechanically. As a generic model we use a point-contact detector coupled to an electron in a quantum dot and tunneling into the continuum. Transition to the classical description and the mechanism of decoherence are investigated. We con-centrate on the influence of the measurement on the electron decay rate to the continuum. We demonstrate that the Zeno (or the anti-Zeno) effect requires a nonuniform density of states in the continuum. In this case we show that the anti-Zeno effect relates only to the average decay rate, whereas for sufficiently small time the Zeno effect always takes place. We discuss the experimental consequences of our results and the role of the projection postulate in a measurement process. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Quantum Description of Classical Apparatus: Zeno Effect and Decoherence

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2003 by Plenum Publishing Corporation
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1023/A:1025887204138
Publisher site
See Article on Publisher Site

Abstract

We study the measurement process by treating classical detectors entirely quantum mechanically. As a generic model we use a point-contact detector coupled to an electron in a quantum dot and tunneling into the continuum. Transition to the classical description and the mechanism of decoherence are investigated. We con-centrate on the influence of the measurement on the electron decay rate to the continuum. We demonstrate that the Zeno (or the anti-Zeno) effect requires a nonuniform density of states in the continuum. In this case we show that the anti-Zeno effect relates only to the average decay rate, whereas for sufficiently small time the Zeno effect always takes place. We discuss the experimental consequences of our results and the role of the projection postulate in a measurement process.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 18, 2004

References

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