Spatial Schmidt modes generated in parametric down-conversion

F. M. Miatto, H. Di Lorenzo Pires, S. M. Barnett, M. P. van Exter

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper presents the general spatial Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of collinear phase mismatch. The paper is written in a review style and presents a wealth of numerical results. It aims at emphasising the physics beyond the mathematics, through discussions and graphical representations of key results. The two main conclusions of the paper are the finding of a better law to describe the effective dimensionality of the spatial part of the total Hilbert space and a possible novel feature of the radial Schmidt modes.

LanguageEnglish
Article number263
Number of pages11
JournalEuropean Physical Journal D: Atomic, Molecular, Optical and Plasma Physics
Volume66
Issue number10
DOIs
Publication statusPublished - Oct 2012

Fingerprint

mathematics
Hilbert space
degrees of freedom
projection
decomposition
physics
photons

Keywords

  • high dimensional quantum entanglement
  • nonlinear dynamics
  • optical physics
  • plasma physics

Cite this

Miatto, F. M. ; Pires, H. Di Lorenzo ; Barnett, S. M. ; van Exter, M. P. / Spatial Schmidt modes generated in parametric down-conversion. In: European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics. 2012 ; Vol. 66, No. 10.
@article{038fef80867349e6afa39c25c5969a11,
title = "Spatial Schmidt modes generated in parametric down-conversion",
abstract = "This paper presents the general spatial Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of collinear phase mismatch. The paper is written in a review style and presents a wealth of numerical results. It aims at emphasising the physics beyond the mathematics, through discussions and graphical representations of key results. The two main conclusions of the paper are the finding of a better law to describe the effective dimensionality of the spatial part of the total Hilbert space and a possible novel feature of the radial Schmidt modes.",
keywords = "high dimensional quantum entanglement, nonlinear dynamics, optical physics, plasma physics",
author = "Miatto, {F. M.} and Pires, {H. Di Lorenzo} and Barnett, {S. M.} and {van Exter}, {M. P.}",
year = "2012",
month = "10",
doi = "10.1140/epjd/e2012-30035-3",
language = "English",
volume = "66",
journal = "European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics",
issn = "1434-6060",
number = "10",

}

Spatial Schmidt modes generated in parametric down-conversion. / Miatto, F. M.; Pires, H. Di Lorenzo; Barnett, S. M.; van Exter, M. P.

In: European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, Vol. 66, No. 10, 263, 10.2012.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Spatial Schmidt modes generated in parametric down-conversion

AU - Miatto, F. M.

AU - Pires, H. Di Lorenzo

AU - Barnett, S. M.

AU - van Exter, M. P.

PY - 2012/10

Y1 - 2012/10

N2 - This paper presents the general spatial Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of collinear phase mismatch. The paper is written in a review style and presents a wealth of numerical results. It aims at emphasising the physics beyond the mathematics, through discussions and graphical representations of key results. The two main conclusions of the paper are the finding of a better law to describe the effective dimensionality of the spatial part of the total Hilbert space and a possible novel feature of the radial Schmidt modes.

AB - This paper presents the general spatial Schmidt decomposition of two-photon fields generated in spontaneous parametric down-conversion (SPDC). It discusses in particular the separation of the radial and azimuthal degrees of freedom, the role of projection in modal analysis, and the benefits of collinear phase mismatch. The paper is written in a review style and presents a wealth of numerical results. It aims at emphasising the physics beyond the mathematics, through discussions and graphical representations of key results. The two main conclusions of the paper are the finding of a better law to describe the effective dimensionality of the spatial part of the total Hilbert space and a possible novel feature of the radial Schmidt modes.

KW - high dimensional quantum entanglement

KW - nonlinear dynamics

KW - optical physics

KW - plasma physics

UR - http://www.scopus.com/inward/record.url?scp=84868518454&partnerID=8YFLogxK

U2 - 10.1140/epjd/e2012-30035-3

DO - 10.1140/epjd/e2012-30035-3

M3 - Article

VL - 66

JO - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

T2 - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

JF - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

SN - 1434-6060

IS - 10

M1 - 263

ER -