Non-Markovianity during quantum Zeno effect

TL;DR

This paper investigates the interplay between the quantum Zeno effect and non-Markovian dynamics in entangled spin-boson systems, revealing that Zeno effects are linked with enhanced non-Markovian signatures and information flow in complex quantum systems.

Contribution

It demonstrates the connection between Zeno effects and non-Markovianity in spin-boson systems and extends the analysis to photosynthetic biosystems, highlighting the role of non-Markovian dynamics.

Findings

Zeno or anti-Zeno effects occur alongside non-Markovian dynamics.

Effective Zeno or anti-Zeno time scales match reservoir correlation times.

Changes in decay rates are coordinated with information flow between qubits.

Abstract

We examine the Zeno and anti-Zeno effects in the context of non-Markovian dynamics in entangled spin-boson systems in contact with noninteracting reservoirs. We identify enhanced non-Markovian signatures in specific two-qubit partitions of a Bell-like initial state, with results showing that the intra-qubit Zeno effect or anti-Zeno effect occurs in conjunction with inter-qubit non-Markovian dynamics for a range of system parameters. The time domain of effective Zeno or anti-Zeno dynamics is about the same order of magnitude as the non-Markovian time scale of the reservoir correlation dynamics, and changes in decay rate due to the Zeno mechanism appears coordinated with information flow between specific two-qubit partitions. We extend our analysis to examine the Zeno mechanism-non-Markovianity link using the tripartite states arising from a donor-acceptor-sink model of photosynthetic biosystems.