Quantum field theory and inverse problems: Imaging with Entangled Photons
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911415261986816 |
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| author | Lassas, Matti Nursultanov, Medet Oksanen, Lauri Schotland, John C. |
| author_facet | Lassas, Matti Nursultanov, Medet Oksanen, Lauri Schotland, John C. |
| contents | We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of the source to solution map for a system of nonlocal partial differential equations, which describe the scattering of a two-photon state from the atoms. The required measurements involve correlating the outputs of a point detector with an integrating detector, thereby exploiting information about the entanglement of the photons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03653 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum field theory and inverse problems: Imaging with Entangled Photons Lassas, Matti Nursultanov, Medet Oksanen, Lauri Schotland, John C. Analysis of PDEs Mathematical Physics We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of the source to solution map for a system of nonlocal partial differential equations, which describe the scattering of a two-photon state from the atoms. The required measurements involve correlating the outputs of a point detector with an integrating detector, thereby exploiting information about the entanglement of the photons. |
| title | Quantum field theory and inverse problems: Imaging with Entangled Photons |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2506.03653 |