Geometric Criteria for Complete Mode Conversion in Detuned Systems via Piecewise-Coherent Modulation
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912825129041920 |
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| author | Pandey, Awanish |
| author_facet | Pandey, Awanish |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10066 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric Criteria for Complete Mode Conversion in Detuned Systems via Piecewise-Coherent Modulation Pandey, Awanish Quantum Physics Applied Physics Optics 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. |
| title | Geometric Criteria for Complete Mode Conversion in Detuned Systems via Piecewise-Coherent Modulation |
| topic | Quantum Physics Applied Physics Optics |
| url | https://arxiv.org/abs/2601.10066 |