dorsal/arxiv
View SchemaConservation and entanglement of Hermite-Gaussian modes in parametric down-conversion
| Authors | S. P. Walborn, S. Pádua, C. H. Monken |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407216 |
| URL | https://arxiv.org/abs/quant-ph/0407216 |
| DOI | 10.1103/PhysRevA.71.053812 |
Abstract
We show that the transfer of the angular spectrum of the pump beam to the two-photon state in spontaneous parametric down-conversion enables the generation of entangled Hermite-Gaussian modes. We derive an analytical expression for the two-photon state in terms of these modes and show that there are restrictions on both the parity and order of the down-converted Hermite-Gaussian fields. Using these results, we show that the two-photon state is indeed entangled in Hermite-Gaussian modes. We propose experimental methods of creating maximally-entangled Bell states and non-maximally entangled pure states of first order Hermite-Gaussian modes.
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"date_created": "2026-03-02T18:02:10.010000Z",
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"abstract": "We show that the transfer of the angular spectrum of the pump beam to the\ntwo-photon state in spontaneous parametric down-conversion enables the\ngeneration of entangled Hermite-Gaussian modes. We derive an analytical\nexpression for the two-photon state in terms of these modes and show that there\nare restrictions on both the parity and order of the down-converted\nHermite-Gaussian fields. Using these results, we show that the two-photon state\nis indeed entangled in Hermite-Gaussian modes. We propose experimental methods\nof creating maximally-entangled Bell states and non-maximally entangled pure\nstates of first order Hermite-Gaussian modes.",
"arxiv_id": "quant-ph/0407216",
"authors": [
"S. P. Walborn",
"S. P\u00e1dua",
"C. H. Monken"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.053812",
"title": "Conservation and entanglement of Hermite-Gaussian modes in parametric down-conversion",
"url": "https://arxiv.org/abs/quant-ph/0407216"
},
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