Path-integral description of quantum nonlinear optics in arbitrary media

Mosbah Difallah, Alexander Szameit, Marco Ornigotti

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
39 Downloads (Pure)


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.

Original languageEnglish
Article number053845
JournalPhysical Review A
Issue number5
Publication statusPublished - 20 Nov 2019
Publication typeA1 Journal article-refereed

Publication forum classification

  • Publication forum level 2

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


Dive into the research topics of 'Path-integral description of quantum nonlinear optics in arbitrary media'. Together they form a unique fingerprint.

Cite this