Finite resolution of time in continuous measurements: phenomenology and the model

Abstract

Definition of a quantum corridor describing monitoring a quantum observable in the framework of the phenomenological restricted-path-integral (RPI) approach is generalized for the case of a finite resolution of time. The resulting evolution of the continuously measured system cannot be presented by a differential equation. Monitoring of the position of a quantum particle is also considered with the help of a model which takes into account a finite resolution of time. The results based on the model are shown to coincide with those of the phenomenological approach.

12 pages, LATEX

References in corpus (2)

• Continuous quantum measurement and Itô formalism
• Measurement quantum mechanics and experiments on quantum Zeno effect

Cited by in corpus (8)

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• Path Integral for Quantum Operations
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• Evolution of an open system as a continuous measurement of this system by its environment
• The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model
• Amplitudes for Spacetime Regions and the Quantum Zeno Effect: Pitfalls of Standard Path Integral Constructions
• Decoherence and continuous measurements: Phenomenology and models