dorsal/arxiv
View SchemaSpectral structure and decompositions of optical states, and their applications
| Authors | Peter P. Rohde, Wolfgang Mauerer, Christine Silberhorn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609004 |
| URL | https://arxiv.org/abs/quant-ph/0609004 |
| DOI | 10.1088/1367-2630/9/4/091 |
| Journal | New J. Phys 9, 91 (2007) |
Abstract
We discuss the spectral structure and decomposition of multi-photon states. Ordinarily `multi-photon states' and `Fock states' are regarded as synonymous. However, when the spectral degrees of freedom are included this is not the case, and the class of `multi-photon' states is much broader than the class of `Fock' states. We discuss the criteria for a state to be considered a Fock state. We then address the decomposition of general multi-photon states into bases of orthogonal eigenmodes, building on existing multi-mode theory, and introduce an occupation number representation that provides an elegant description of such states that in many situations simplifies calculations. Finally we apply this technique to several example situations, which are highly relevant for state of the art experiments. These include Hong-Ou-Mandel interference, spectral filtering, finite bandwidth photo-detection, homodyne detection and the conditional preparation of Schr\"odinger Kitten and Fock states. Our techniques allow for very simple descriptions of each of these examples.
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"abstract": "We discuss the spectral structure and decomposition of multi-photon states.\nOrdinarily `multi-photon states\u0027 and `Fock states\u0027 are regarded as synonymous.\nHowever, when the spectral degrees of freedom are included this is not the\ncase, and the class of `multi-photon\u0027 states is much broader than the class of\n`Fock\u0027 states. We discuss the criteria for a state to be considered a Fock\nstate. We then address the decomposition of general multi-photon states into\nbases of orthogonal eigenmodes, building on existing multi-mode theory, and\nintroduce an occupation number representation that provides an elegant\ndescription of such states that in many situations simplifies calculations.\nFinally we apply this technique to several example situations, which are highly\nrelevant for state of the art experiments. These include Hong-Ou-Mandel\ninterference, spectral filtering, finite bandwidth photo-detection, homodyne\ndetection and the conditional preparation of Schr\\\"odinger Kitten and Fock\nstates. Our techniques allow for very simple descriptions of each of these\nexamples.",
"arxiv_id": "quant-ph/0609004",
"authors": [
"Peter P. Rohde",
"Wolfgang Mauerer",
"Christine Silberhorn"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/9/4/091",
"journal_ref": "New J. Phys 9, 91 (2007)",
"title": "Spectral structure and decompositions of optical states, and their applications",
"url": "https://arxiv.org/abs/quant-ph/0609004"
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