Understanding the quantum Zeno effect

Abstract

The quantum Zeno effect consists in the hindrance of the evolution of a quantum system that is very frequently monitored and found to be in its initial state at every single measurement. On the basis of the correct formula for the survival probability, i.e. the probability of finding the system in its initial state at every single measurement, we critically analyze a recent proposal and experimental test, that make use of an oscillating system.

9 pages, LaTeX, including 1 epsfigure, tar+gzip+uuencoded to appear in Phys. Lett. A

References in corpus (4)

• Temporal behavior of quantum mechanical systems
• Strongly Coupled Quantum and Classical Systems and Zeno's Effect
• Decoherence and the Quantum Zeno Effect
• Quantum Zeno Effect with the Feynman-Mensky Path-Integral Approach

Cited by in corpus (22)

• Quantum Zeno dynamics: mathematical and physical aspects
• From the quantum Zeno to the inverse quantum Zeno effect
• Quantum Computing with NMR
• Quantum Zeno Dynamics
• Freezing a Coherent Field Growth in a Cavity by Quantum Zeno Effect
• Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom
• Quantum anti-Zeno effect
• Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics
• The Quantum Zeno Effect - Evolution of an Atom Impeded by Measurement
• A relaxationless demonstration of the Quantum Zeno Paradox on an individual atom
• The Friedrichs Model and its use in resonance phenomena
• NMR analogues of the quantum Zeno effect
• Quantum Zeno effect in a probed downconversion process
• Deviation from the exponential decay law in relativistic quantum field theory: the example of strongly decaying particles
• Reflection and Transmission in a Neutron-Spin Test of the Quantum Zeno Effect
• Van Hove's "λ^2 t" limit in nonrelativistic and relativistic field-theoretical models
• Zeno effect preventing Rabi transitions onto an unstable energy level
• Emergence of a Wiener process as a result of the quantum mechanical interaction with a macroscopic medium
• Quantum Zeno Effect in Cavity QED: Experimental Proposal with Non Ideal Cavities and Detectors
• On the possibility to observe relations between quantum measurements and the entropy of phase transitions in Zn${}_2$(BDC)${}_2$(DABCO)
• Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry
• Observation of the Quantum Zeno Effect on a NISQ Device