Geometric control of Bell correlations in path-entangled systems
Phys. Rev. A 112, 062231 – Published 22 December, 2025
DOI: https://doi.org/10.1103/bcsp-2w7b
Abstract
We introduce path-entangled quantum states, spatially correlated systems governed via production angles, to achieve geometric control of entanglement beyond spin or polarization constraints. By driving the system through cyclic adiabatic evolution of an external parameter in Mach-Zehnder interferometers, we demonstrate that Berry phases and production angles become additional degrees of freedom for Bell correlations. We identify an approximate critical angle that geometrically manifests the Bell limit for certain measurement settings, delineating boundaries between local hidden-variable theories and quantum mechanics. This framework simplifies state preparation while enabling geometry-driven entanglement control, thus providing distinct experimental advantages.
