{
  "annotation_id": "e8ada745-2e6c-407e-b83e-4706f0633ba5",
  "date_created": "2026-02-17T05:53:23.798000Z",
  "date_modified": "2026-02-17T05:53:23.798000Z",
  "file_hash": "01b256830b5c9bbff9aa2eb4e98d2245fbe32fd39ff52b197a71deba998ea48a",
  "private": false,
  "record": {
    "abstract": "Static phase detuning fundamentally constrains coherent state transfer in asymmetric classical and quantum systems. We introduce a Bloch-sphere formulation for piecewise-coherent modulation that recasts coupled-mode dynamics as geometric trajectories, transforming algebraic control into path optimization. The approach reveals a cone of inaccessibility at the target pole and yields exact geodesic criteria for complete mode conversion in detuned systems. Leveraging this framework, we break time-reversal symmetry to realize a magnet-free optical isolator with near-unity contrast. Furthermore, for detuning larger than coupling between modes, we develop a recursive multi-step protocol enabling deterministic transfer for arbitrary detunings and derive a universal geometric lower bound on the required number of coupling-switching events.",
    "arxiv_id": "2601.10066",
    "authors": [
      "Awanish Pandey"
    ],
    "categories": [
      "quant-ph",
      "physics.app-ph",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Geometric Criteria for Complete Mode Conversion in Detuned Systems via Piecewise-Coherent Modulation",
    "url": "https://arxiv.org/abs/2601.10066",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3b92a73-45c2-4ce7-ba1f-38e0e7b2d01a",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}