Zeno Dynamics and High-Temperature Master Equations Beyond Secular Approximation

TL;DR

This paper explores the properties of quantum master equations beyond the secular approximation, demonstrating conditions under which high-temperature baths induce Zeno dynamics and analyzing the physical implications of these evolutions.

Contribution

It introduces a framework for understanding complete positivity in non-secular master equations and shows how high-temperature environments can generate Zeno effects.

Findings

Complete positivity can be maintained beyond the secular approximation.

High-temperature baths can induce Zeno dynamics under certain conditions.

The physical properties of the system are deeply connected to the form of the master equations.

Abstract

Complete positivity of a class of maps generated by master equations derived beyond the secular approximation is discussed. The connection between such class of evolutions and physical properties of the system is analyzed in depth. It is also shown that under suitable hypotheses a Zeno dynamics can be induced because of the high temperature of the bath.