arXiv:2506.21228 · Optica Quantum
Generation of polarization-entangled Bell states in monolithic photonic waveguides by leveraging intrinsic crystal properties
Trevor G. Vrckovnik, Dennis Arslan, Falk X. Eilenberger, Sebastian W. Schmitt
Abstract
Advanced photonic quantum technologies—from quantum key distribution to quantum computing—require on-chip sources of entangled photons that are both efficient and readily scalable. This theoretical study demonstrates the generation of polarization-entangled Bell states in structurally simple waveguides by exploiting the intrinsic properties of nonlinear crystals. Elaborate phase-matching strategies that commonly involve the spatial modulation of a waveguide’s linear or nonlinear optical properties are thereby circumvented. This study begins with the derivation of general criteria for the second-order susceptibility tensor that enable the generation of cross-polarized photon pairs via spontaneous parametric down-conversion in single-material waveguides. Based on these criteria, all birefringent, non-centrosymmetric crystal classes are then categorized regarding their suitability. Finally, using coupled mode theory, a numerical analysis is performed of cuboid waveguides made from two materials that are highly relevant to integrated photonics: lithium niobate, a well-established platform, and barium titanate, an emerging alternative. Barium titanate is found to consistently outperform lithium niobate by providing a higher nonlinear efficiency and high concurrence over a significantly broader spectral range. These findings outline a practical route towards highly efficient, fabrication-friendly, and scalable sources of polarization-entangled photons for integrated quantum photonic circuits.