Quantum anti-Zeno effect
- 1 August 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 56 (2) , 1131-1137
- https://doi.org/10.1103/physreva.56.1131
Abstract
Prevention of a quantum system’s time evolution by repetitive, frequent measurements of the system’s state has been called the quantum Zeno effect (or paradox). Here we investigate theoretically and numerically the effect of repeated measurements on the quantum dynamics of multilevel systems that exhibit the quantum localization of classical chaos. The analysis is based on the wave function and Schrödinger equation, without introduction of the density matrix. We show how the quantum Zeno effect in simple few-level systems can be recovered and understood by formal modeling the effect of measurement on the dynamics by randomizing the phases of the measured states. This analysis is extended to investigate the dynamics of multilevel systems driven by an intense external force and affected by frequent measurements. We show that frequent measurements of such quantum systems results in delocalization of the quantum suppression of classical chaos. This result is the opposite of the quantum Zeno effect. The phenomenon of delocalization of the quantum suppression and restoration of quasi-classical time evolution of these systems, owing to repetitive frequent measurements, can therefore be called the quantum anti-Zeno effect. From this analysis we furthermore conclude that frequently or continuously observable quasiclassical systems evolve basically in a classical manner.Keywords
All Related Versions
This publication has 33 references indexed in Scilit:
- The Time Evolution of Unstable ParticlesProgress of Theoretical Physics, 1993
- Quantum zeno effectPhysics Letters A, 1990
- Watching a laser hot-potNature, 1990
- Quantum Zeno effectPhysical Review A, 1990
- What are Quantum Jumps?Physica Scripta, 1988
- Continuous measurement: Watchdog effect versus golden rulePhysical Review D, 1984
- Decay theory of unstable quantum systemsReports on Progress in Physics, 1978
- Time evolution of unstable quantum states and a resolution of Zeno's paradoxPhysical Review D, 1977
- The Zeno’s paradox in quantum theoryJournal of Mathematical Physics, 1977
- Field theory of unstable particlesAnnals of Physics, 1960