Three different manifestations of the quantum Zeno effect

Abstract

Three different manifestations of the quantum Zeno effect are discussed, compared and shown to be physically equivalent. We look at frequent projective measurements, frequent unitary "kicks" and strong continuous coupling. In all these cases, the Hilbert space of the system splits into invariant "Zeno" subspaces, among which any transition is hindered.

16 pages, 4 figures

References in corpus (5)

• Quantum Zeno subspaces
• Quantum computation with trapped ions in an optical cavity
• Inhibition of Decoherence due to Decay in a Continuum
• Coherent Control of Quantum Chaotic Diffusion
• Quantum Zeno and anti-Zeno effects in the Friedrichs model

Cited by in corpus (6)

• Quantum Zeno dynamics: mathematical and physical aspects
• Single-bit Feedback and Quantum Dynamical Decoupling
• Linear and nonlinear quantum Zeno and anti-Zeno effects in a nonlinear optical coupler
• Mathematics of the Quantum Zeno Effect
• Interplay between quantum Zeno and anti-Zeno effects in a non-degenerate hyper-Raman nonlinear optical coupler
• Electromagnetism in terms of quantum measurements