The evolution of a quantum system subjected to infinitely many measurements in a finite time interval is confined in a proper subspace of the Hilbert space. This phenomenon is called ``quantum Zeno effect": a particle under intensive observation does not evolve. This effect is at variance with the classical evolution, which obviously is not affected by any observations. By a semiclassical analysis we will show that the quantum Zeno effect vanishes at all orders, when the Planck constant tends to zero, and thus it is a purely quantum phenomenon without classical analog, at the same level of tunneling.
Titolo: | Classical limit of the quantum Zeno effect |
Autore/i: | P. Facchi; GRAFFI, SANDRO; M. Ligabo' |
Autore/i Unibo: | |
Anno: | 2010 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1751-8113/43/3/032001 |
Abstract: | The evolution of a quantum system subjected to infinitely many measurements in a finite time interval is confined in a proper subspace of the Hilbert space. This phenomenon is called ``quantum Zeno effect": a particle under intensive observation does not evolve. This effect is at variance with the classical evolution, which obviously is not affected by any observations. By a semiclassical analysis we will show that the quantum Zeno effect vanishes at all orders, when the Planck constant tends to zero, and thus it is a purely quantum phenomenon without classical analog, at the same level of tunneling. |
Data prodotto definitivo in UGOV: | 2010-02-27 11:30:26 |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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