Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912645752291328 |
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| author | Alperin, Samuel |
| author_facet | Alperin, Samuel |
| contents | We show that the Floquet Hamiltonian of a quantum particle driven by a general time-periodic imaginary potential is exactly equivalent, at stroboscopic times, to the Hamiltonian of a free particle constrained to a curved Riemannian manifold with fixed embedding. We illustrate the construction for a sinusoidal drive and for the torus of revolution, and outline how the framework can guide experimental design of curved-space quantum dynamics. Our results unify non-Hermitian Floquet physics with spectral geometry and provide a general recipe for engineering quantum dynamics on embedded manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11845 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds Alperin, Samuel Quantum Physics Mathematical Physics We show that the Floquet Hamiltonian of a quantum particle driven by a general time-periodic imaginary potential is exactly equivalent, at stroboscopic times, to the Hamiltonian of a free particle constrained to a curved Riemannian manifold with fixed embedding. We illustrate the construction for a sinusoidal drive and for the torus of revolution, and outline how the framework can guide experimental design of curved-space quantum dynamics. Our results unify non-Hermitian Floquet physics with spectral geometry and provide a general recipe for engineering quantum dynamics on embedded manifolds. |
| title | Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2510.11845 |