# Quantum Zeno and anti-Zeno effects in quantum dissipative systems

## TL;DR

This paper explores how non-Markovian effects influence quantum Zeno and anti-Zeno phenomena in dissipative systems, revealing multiple crossover behaviors and the impact of bath temperature on observing these effects.

## Contribution

It introduces a hierarchical equations of motion approach that surpasses common approximations to analyze Zeno effects in complex quantum systems.

## Key findings

- Multiple Zeno-anti-Zeno crossover phenomena identified
- Non-Markovian bath characteristics facilitate Zeno dynamics
- High bath temperature complicates Zeno effect observation

## Abstract

We investigate the quantum Zeno and anti-Zeno effects in quantum dissipative systems by employing a hierarchical equations of motion approach which is beyond the usual Markovian approximation, the rotating wave approximation, and the perturbative approximation. The quantum Zeno and anti-Zeno dynamics of a biased qubit-boson model and a biased qutrit-boson model are provided as illustrative examples. It is found that (i) there exists multiple Zeno-anti-Zeno crossover phenomena, (ii) the non-Markovian characteristic of the bath may be favorable for the accessibility of the Zeno dynamics, and (iii) high bath temperature may add the difficulty in observing the quantum Zeno effect in quantum dissipative systems.