Berry Phase in Pathangled Systems

• URL: http://arxiv.org/abs/2506.17429v1
• Date: Fri, 20 Jun 2025 18:51:01 GMT
• Title: Berry Phase in Pathangled Systems
• Authors: H. O. Cildiroglu,
• Abstract summary: We introduce pathangled quantum states, spatially correlated systems governed via production angles, to achieve geometric control of entanglement beyond spin/polarization constraints.<n>We identify an approximate critical angle $24.97circ$ that geometrically manifests the Bell-limit for certain measurement settings.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce pathangled quantum states, spatially correlated systems governed via production angles, to achieve geometric control of entanglement beyond spin/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 $24.97^\circ$ 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.

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