Vacuum state truncation via the quantum Zeno effect

TL;DR

This paper demonstrates how the quantum Zeno effect can be used to truncate the vacuum component from quantum states, enabling precise quantum state engineering without altering the remaining state components.

Contribution

It introduces a method for vacuum state truncation using the quantum Zeno effect, revealing periodic Zeno and anti-Zeno effects and linking to interaction-free measurement.

Findings

Vacuum component can be selectively truncated from quantum states.

Zeno and anti-Zeno effects occur periodically during the process.

The method relates to interaction-free measurement techniques.

Abstract

In the context of quantum state engineering we analyze the effect of observation on nonlinear optical $n$-photon Fock state generation. We show that it is possible to truncate the vacuum component from an arbitrary photon number superposition without modifying its remaining parts. In the course of the full dynamical analysis of the effect of observation, it is also found that the Zeno and the anti-Zeno effects repeat periodically. We discuss the close relationship between vacuum state truncation and so-called "interaction-free" measurement.