# Quantumness protection for open systems in a double-layer environment

## TL;DR

This paper investigates how to protect and control the quantum properties of two-level atomic systems in a complex double-layer environment using an exact master equation and an effective model, revealing ways to preserve coherence and entanglement.

## Contribution

It introduces a comprehensive analysis of quantumness preservation in open systems within a double-layer cavity environment using an exact quantum-state-diffusion approach.

## Key findings

- Quantumness can be controlled by tuning cavity network parameters.
- An effective model reveals the underlying physics of quantumness preservation.
- The framework offers a new method for protecting quantum coherence and entanglement.

## Abstract

We study the dynamics of the two-level atomic systems (qubits) under a double-layer environment that is consisted of a network of single-mode cavities coupled to a common reservoir. A general exact master equation for the dynamics can be obtained by the quantum-state-diffusion (QSD) equation. The quantumness of the atoms including coherence and entanglement is investigated within various configurations of the external environment. It is shown that the preservation and generation of the quantumness can be controlled by regulating the parameters of the cavity network. Moreover the underlying physics of the results can be profoundly revealed by an effective model via a unitary transformation. Our work provides an interesting proposal in protecting the quantumness of open systems in the framework of a double-layer environment containing bosonic modes.