Strongly Coupled Quantum and Classical Systems and Zeno's Effect

TL;DR

This paper investigates a model where a quantum system interacts with a classical device, demonstrating that strong coupling induces the quantum Zeno effect and interpreting the inverse coupling as the device's jump frequency.

Contribution

It introduces a minimal piecewise deterministic process model linking quantum-classical interactions to the quantum Zeno effect, with a novel interpretation of coupling strength.

Findings

Large coupling constant k induces the quantum Zeno effect.

The inverse of k corresponds to the classical device's jump frequency.

The model aligns with the Liouville equation for quantum-classical systems.

Abstract

A model interaction between a two-state quantum system and a classical switching device is analysed and shown to lead to the quantum Zeno effect for large values of the coupling constant k . A minimal piecewise deterministic random process compatible with the Liouville equation is described, and it is shown that 1/k can be interpreted as the jump frequency of the classical device