Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering

Parametric down-conversion (PDC) forms one of the basic building blocks for quantum optical experiments. However, the intrinsic multimode spectral-temporal structure of pulsed PDC often poses a severe hindrance for the direct implementation of the heralding of pure single-photon states or, for examp...

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Main Authors: Christ, Andreas, Lupo, Cosmo, Reichelt, Matthias, Meier, Torsten, Silberhorn, Christine
Other Authors: Massachusetts Institute of Technology. Research Laboratory of Electronics
Format: Article
Language:English
Published: American Physical Society 2014
Online Access:http://hdl.handle.net/1721.1/88939
https://orcid.org/0000-0002-5227-4009
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author Christ, Andreas
Lupo, Cosmo
Reichelt, Matthias
Meier, Torsten
Silberhorn, Christine
author2 Massachusetts Institute of Technology. Research Laboratory of Electronics
author_facet Massachusetts Institute of Technology. Research Laboratory of Electronics
Christ, Andreas
Lupo, Cosmo
Reichelt, Matthias
Meier, Torsten
Silberhorn, Christine
author_sort Christ, Andreas
collection MIT
description Parametric down-conversion (PDC) forms one of the basic building blocks for quantum optical experiments. However, the intrinsic multimode spectral-temporal structure of pulsed PDC often poses a severe hindrance for the direct implementation of the heralding of pure single-photon states or, for example, continuous-variable entanglement distillation experiments. To get rid of multimode effects narrowband frequency filtering is frequently applied to achieve a single-mode behavior. A rigorous theoretical description to accurately describe the effects of filtering on PDC, however, is still missing. To date, the theoretical models of filtered PDC are rooted in the discrete-variable domain and only account for filtering in the low-gain regime, where only a few photon pairs are emitted at any single point in time. In this paper we extend these theoretical descriptions and put forward a simple model, which is able to accurately describe the effects of filtering on PDC in the continuous-variable domain. This developed straightforward theoretical framework enables us to accurately quantify the tradeoff between suppression of higher-order modes, reduced purity, and lowered Einstein–Podolsky–Rosen entanglement, when narrowband filters are applied to multimode type-II PDC.
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spelling mit-1721.1/889392022-10-01T00:50:48Z Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering Christ, Andreas Lupo, Cosmo Reichelt, Matthias Meier, Torsten Silberhorn, Christine Massachusetts Institute of Technology. Research Laboratory of Electronics Lupo, Cosmo Parametric down-conversion (PDC) forms one of the basic building blocks for quantum optical experiments. However, the intrinsic multimode spectral-temporal structure of pulsed PDC often poses a severe hindrance for the direct implementation of the heralding of pure single-photon states or, for example, continuous-variable entanglement distillation experiments. To get rid of multimode effects narrowband frequency filtering is frequently applied to achieve a single-mode behavior. A rigorous theoretical description to accurately describe the effects of filtering on PDC, however, is still missing. To date, the theoretical models of filtered PDC are rooted in the discrete-variable domain and only account for filtering in the low-gain regime, where only a few photon pairs are emitted at any single point in time. In this paper we extend these theoretical descriptions and put forward a simple model, which is able to accurately describe the effects of filtering on PDC in the continuous-variable domain. This developed straightforward theoretical framework enables us to accurately quantify the tradeoff between suppression of higher-order modes, reduced purity, and lowered Einstein–Podolsky–Rosen entanglement, when narrowband filters are applied to multimode type-II PDC. United States. Defense Advanced Research Projects Agency. Quiness Program (United States. Army Research Office. Award W31P4Q-12-1-0019) 2014-08-21T13:58:49Z 2014-08-21T13:58:49Z 2014-08 2014-03 2014-08-14T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/88939 Christ, Andreas, Cosmo Lupo, Matthias Reichelt, Torsten Meier, and Christine Silberhorn. "Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering." Phys. Rev. A 90, 023823 (August 2014). © 2014 American Physical Society https://orcid.org/0000-0002-5227-4009 en http://dx.doi.org/10.1103/PhysRevA.90.023823 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Christ, Andreas
Lupo, Cosmo
Reichelt, Matthias
Meier, Torsten
Silberhorn, Christine
Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering
title Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering
title_full Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering
title_fullStr Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering
title_full_unstemmed Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering
title_short Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering
title_sort theory of filtered type ii parametric down conversion in the continuous variable domain quantifying the impacts of filtering
url http://hdl.handle.net/1721.1/88939
https://orcid.org/0000-0002-5227-4009
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