Non-Markovianity and Clauser-Horne-Shimony-Holt (CHSH)-Bell inequality violation in quantum dissipative systems

TL;DR

This paper investigates non-Markovian quantum dynamics and Bell inequality violations in a multipartite atomic-cavity system, revealing how non-locality and non-Markovianity interplay across different subsystems and their potential relevance to biological systems.

Contribution

It demonstrates the dominance of non-Markovian features in multipartite quantum systems and links non-locality with non-Markovian dynamics in specific partitions, highlighting the role of exceptional points.

Findings

Non-Markovianity is prominent in cavity-cavity and atom-reservoir partitions.

High non-locality correlates with enhanced non-Markovian behavior in adjacent subsystems.

Non-locality and quantum correlations vary with time and cavity decay rate.

Abstract

We examine the non-Markovian dynamics in a multipartite system of two initially correlated atomic qubits, each located in a single-mode leaky cavity and interacting with its own bosonic reservoir. We show the dominance of non-Markovian features, as quantified by the difference in fidelity of the evolved system with its density matrix at an earlier time, in three specific two-qubit partitions associated with the cavity-cavity and atom-reservoir density matrices within the same subsystem, and the cavity-reservoir reduced matrix across the two subsystems. The non-Markovianity in the cavity-cavity subsystem is seen to be optimized in the vicinity of the exceptional point. The CHSH-Bell inequality computed for various two-qubit partitions show that high non-locality present in a specific subsystem appears in conjunction with enhanced non-Markovian dynamics in adjacent subsystems. This is in contrast to the matching existence of non-locality and quantum correlations in regions spanned by time t and the cavity decay rate for select partitions. We discuss the applicability of these results to photosynthetic systems.