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Path-integral description of quantum nonlinear optics in arbitrary media

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Path-integral description of quantum nonlinear optics in arbitrary media. / Difallah, Mosbah; Szameit, Alexander; Ornigotti, Marco.

julkaisussa: Physical Review A, Vuosikerta 100, Nro 5, 053845, 20.11.2019.

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Difallah, Mosbah ; Szameit, Alexander ; Ornigotti, Marco. / Path-integral description of quantum nonlinear optics in arbitrary media. Julkaisussa: Physical Review A. 2019 ; Vuosikerta 100, Nro 5.

Bibtex - Lataa

@article{22c38f05161d46e7815782fd9a3f6af2,
title = "Path-integral description of quantum nonlinear optics in arbitrary media",
abstract = "We present a method, based on Feynman path integrals, to describe the propagation and properties of the quantized electromagnetic field in an arbitrary, nonlinear medium. We provide a general theory, valid for any order of optical nonlinearity, and we then specialize the case of second-order nonlinear processes. In particular, we show that second-order nonlinear processes in arbitrary media, under the undepleted pump approximation, can be described by an effective free electromagnetic field, propagating in a vacuum, dressed by the medium itself. Moreover, we show that the probability of such processes to occur is related to the biphoton propagator, which contains information about the structure of the medium, its nonlinear properties, and the structure of the pump beam.",
author = "Mosbah Difallah and Alexander Szameit and Marco Ornigotti",
year = "2019",
month = "11",
day = "20",
doi = "10.1103/PhysRevA.100.053845",
language = "English",
volume = "100",
journal = "Physical Review A",
issn = "1050-2947",
publisher = "AMER PHYSICAL SOC",
number = "5",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Path-integral description of quantum nonlinear optics in arbitrary media

AU - Difallah, Mosbah

AU - Szameit, Alexander

AU - Ornigotti, Marco

PY - 2019/11/20

Y1 - 2019/11/20

N2 - We present a method, based on Feynman path integrals, to describe the propagation and properties of the quantized electromagnetic field in an arbitrary, nonlinear medium. We provide a general theory, valid for any order of optical nonlinearity, and we then specialize the case of second-order nonlinear processes. In particular, we show that second-order nonlinear processes in arbitrary media, under the undepleted pump approximation, can be described by an effective free electromagnetic field, propagating in a vacuum, dressed by the medium itself. Moreover, we show that the probability of such processes to occur is related to the biphoton propagator, which contains information about the structure of the medium, its nonlinear properties, and the structure of the pump beam.

AB - We present a method, based on Feynman path integrals, to describe the propagation and properties of the quantized electromagnetic field in an arbitrary, nonlinear medium. We provide a general theory, valid for any order of optical nonlinearity, and we then specialize the case of second-order nonlinear processes. In particular, we show that second-order nonlinear processes in arbitrary media, under the undepleted pump approximation, can be described by an effective free electromagnetic field, propagating in a vacuum, dressed by the medium itself. Moreover, we show that the probability of such processes to occur is related to the biphoton propagator, which contains information about the structure of the medium, its nonlinear properties, and the structure of the pump beam.

U2 - 10.1103/PhysRevA.100.053845

DO - 10.1103/PhysRevA.100.053845

M3 - Article

VL - 100

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 5

M1 - 053845

ER -