Geometric control of Bell correlations in path-entangled systems

ÇILDIROĞLU H. Ö.

PHYSICAL REVIEW A, vol.112, no.6, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 6
  • Publication Date: 2025
  • Doi Number: 10.1103/bcsp-2w7b
  • Journal Name: PHYSICAL REVIEW A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, MathSciNet, zbMATH, DIALNET, Nature Index
  • Ankara University Affiliated: Yes

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 24.97 degrees 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.