Concurrence-Driven Path Entanglement in Phase-Modified Interferometry

TL;DR

This paper introduces a new experimental framework linking path entanglement and concurrence, demonstrating control over joint detection probabilities via phase shifts and entanglement measures.

Contribution

It establishes a novel method to measure and manipulate path entanglement through a concurrence-based approach in interferometric setups.

Findings

Joint detection probabilities depend on phase shifts and concurrence.

Path entanglement can be controlled via the angle between particle motion and the BS axis.

The approach extends from single-quanton to two-quanton systems, connecting spatial correlations with concurrence.

Abstract

In this study, a novel experimental setup analogous to joint spin/polarization measurement experiments is proposed by establishing a direct relationship between path (momentum) entanglement and concurrence. The results demonstrate that joint-detection probabilities can be governed not only by phase shifts but also by concurrence, which arises from the angle between the motion direction of particles from the same source and the Beam Splitter (BS) axis. This approach aims to set a new standard in entanglement measurement by integrating path entanglement within a concurrence-based framework. Here, we first examine phase-retarder-modified Mach-Zehnder (MZ) configurations within single-quanton systems, subsequently extending this approach to two-quanton systems to establish a connection between spatial correlations and concurrence. Last, by analyzing joint-detection probabilities across various BS configurations, we evaluate the potential of these setups as analogs for spin/polarization measurement experiments.