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Springer eBooks

Temporal Behavior of Quantum Systems and Quantum Zeno Effect

Saverio Pascazio, Hiromichi Nakazato, Mikio Namiki

Published Jan 1, 1998• 0 citations
Publisher
DOI
10.1007/978-1-4899-1537-5_20

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We exhibit a specific implementation of the creation of geometrical phase through the state-space evolution generated by the dynamic quantum Zeno effect. That is, a system is guided through a closed loop in Hilbert space by means a sequence of closely spaced projections leading to a phase difference with respect to the original state. Our goal is the proposal of a specific experimental setup in which this phase could be created and observed. To this end we study the case of neutron spin, examine the practical aspects of realizing the “projections, ” and estimate the difference between the idealized projections and the The effect of the observer in quantum mechanics is perhaps nowhere more dramatic than in the collection of phenomena loosely (and casually) known as the “quantum Zeno effect. ” This was first formulated by von Neumann [1, 2], and is deeply rooted in fundamental features of the temporal behavior of quantum systems [3]. During