Quantum Zeno dynamics and quantum Zeno subspaces

TL;DR

This paper explores the continuous quantum Zeno effect, analyzing how frequent measurements or couplings partition the Hilbert space into subspaces that hinder transitions, with practical applications and a proposed experiment.

Contribution

It provides a detailed analysis of continuous quantum Zeno dynamics, introduces new examples, and proposes a novel experiment to demonstrate these effects.

Findings

Partition of Hilbert space into Zeno subspaces

Transition hindrance within subspaces

Practical applications of Zeno dynamics

Abstract

A quantum Zeno dynamics can be obtained by means of frequent measurements, frequent unitary kicks or a strong continuous coupling and yields a partition of the total Hilbert space into quantum Zeno subspaces, among which any transition is hindered. We focus on the "continuous" version of the quantum Zeno effect and look at several interesting examples. We first analyze these examples in practical terms, towards applications, then propose a novel experiment.