dorsal/arxiv
View SchemaHamiltonian models of multiphoton processes and four--photon squeezed states via nonlinear canonical transformations
| Authors | Silvio De Siena, Antonio Di Lisi, Fabrizio Illuminati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201124 |
| URL | https://arxiv.org/abs/quant-ph/0201124 |
Abstract
We introduce nonlinear canonical transformations that yield effective Hamiltonians of multiphoton down conversion processes, and we define the associated non-Gaussian multiphoton squeezed states as the coherent states of the multiphoton Hamiltonians. We study in detail the four-photon processes and the associated non-Gaussian four-photon squeezed states. The realization of squeezing, the behavior of the field statistics, and the structure of the phase space distributions show that these states realize a natural four-photon generalization of the two-photon squeezed states.
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"date_created": "2026-03-02T18:01:49.515000Z",
"date_modified": "2026-03-02T18:01:49.515000Z",
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"abstract": "We introduce nonlinear canonical transformations that yield effective\nHamiltonians of multiphoton down conversion processes, and we define the\nassociated non-Gaussian multiphoton squeezed states as the coherent states of\nthe multiphoton Hamiltonians. We study in detail the four-photon processes and\nthe associated non-Gaussian four-photon squeezed states. The realization of\nsqueezing, the behavior of the field statistics, and the structure of the phase\nspace distributions show that these states realize a natural four-photon\ngeneralization of the two-photon squeezed states.",
"arxiv_id": "quant-ph/0201124",
"authors": [
"Silvio De Siena",
"Antonio Di Lisi",
"Fabrizio Illuminati"
],
"categories": [
"quant-ph"
],
"title": "Hamiltonian models of multiphoton processes and four--photon squeezed states via nonlinear canonical transformations",
"url": "https://arxiv.org/abs/quant-ph/0201124"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "564b0300-0887-46fc-93f8-96de98716e6d",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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