Symmetry-Resolved Single-Photon Mode Selection in WSe₂–Silicon-Nitride Photonics

Source abstract and PDF provenance

Excerpt from original “Abstract”

We analyze a proposed WSe2/hBN–silicon-nitride integrated quantum-optical circuit combining Gaussian temporal write–read control, a three-coordinate synthetic periodic mode register, a closed solid-torus waveguide memory, and Möbius-type polarization holonomy. From unitary parity interferometers and a single-mode Heisenberg–Langevin memory, we derive a separable accepted transfer kernel. Successful output photons are therefore indistinguishable in the stated ideal quantum-limited model, yielding conditional Hong–Ou–Mandel visibility of unity without requiring common optical loss to vanish. We retain the detailed mathematical proofs, material-response calculations, error estimates, and quantum-channel audits from the entire cumulative study. Open- boundary Maxwell results include finite 3D six-field Yee calculations of the archived 386-hole nanobeam, but their short time records and mesh dependence do not certify a converged high-Q complex pole. A separate identifiability theorem shows that a single incident Maxwell probe cannot establish the rank of the full multi-input optical transfer operator. A further 30-nm 15.2-million-cell 3D C1 calculation and independent common-window grid comparison find no convergence of the local probe response. An exact finite-step, finite-loss Gaussian photon memory is constructed and applied directly to a high-resolution literature-based WSe2 phonon density kernel; its rank-one selected output and the strict rank-two defect produced by an orthogonal bypass are both proved. We additionally certify the uniform-medium dispersion error of the archived 3D Yee stencil and prove that no static, nonzero-bandwidth Maxwell selector can exactly purify a continuous phonon-shift mixture; these results identify precisely why dynamic quantum-limited … [excerpt; full original in PDF]

Original ZIP-embedded PDF: 299 pages · 15903363 bytes
Original SHA-256: 2ed0d11c9ead4537dd90e40316839279056c6804809b0e9cc0ea9c8e9f05a4b7
Public Drive PDF: 15903363 bytes
Public SHA-256: 2ed0d11c9ead4537dd90e40316839279056c6804809b0e9cc0ea9c8e9f05a4b7

IDENTICAL: public SHA-256 matches the original. Public PDF ↗ · 37-file hash ledger ↗

Scientific proof and experiment validation are separate from PDF identity.