Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system

TL;DR

This paper investigates how boundary conditions, like a conducting plate, affect the geometric phase and entanglement dynamics of a bipartite two-level quantum system interacting with vacuum fluctuations, with implications for quantum experiments.

Contribution

It derives a master equation for the system's dynamics considering boundary effects and analyzes how these influence geometric phase corrections and entanglement evolution.

Findings

Boundary conditions modify the geometric phase of the bipartite system.

Vacuum structure and boundaries can generate entanglement.

The study provides insights for experimental setups involving quantum vacuum effects.

Abstract

We present a bipartite two-level system coupled to electromagnetic quantum vacuum fluctuations through a general dipolar coupling. We derive the master equation in the framework of open quantum systems, assuming an environment composed of (i) solely vacuum fluctuations and (ii) the vacuum fluctuations and a conducting plate located at a fixed distance from the bipartite system. For both cases considered, we study the dynamics of the bipartite system and the temporal evolution of the concurrence of an initial entangled bipartite state. We further analyze the generation of entanglement due to the vacuum structure. Finally, we study the different induced contributions to the correction of the unitary geometric phase of a bipartite quantum state so as to explore the possibility of future experimental setups by considering the influence of boundaries conditions in vacuum