Solving the scattering of N photons on a two-level atom without computation

We propose a novel approach for solving the scattering of light onto a two-level atom coupled to a one-dimensional waveguide. First we express the physical quantity of interest in terms of Feynman diagrams and treat the atom as a non-saturable linear beamsplitter. By using the atomic response to our...

Full description

Bibliographic Details
Main Authors: Alexandre Roulet, Valerio Scarani
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/9/093035
_version_ 1797750949023842304
author Alexandre Roulet
Valerio Scarani
author_facet Alexandre Roulet
Valerio Scarani
author_sort Alexandre Roulet
collection DOAJ
description We propose a novel approach for solving the scattering of light onto a two-level atom coupled to a one-dimensional waveguide. First we express the physical quantity of interest in terms of Feynman diagrams and treat the atom as a non-saturable linear beamsplitter. By using the atomic response to our advantage, a relevant substitution is then made that captures the nonlinearity of the atom, and the final result is obtained in terms of simple integrals over the initial incoming wavepackets. The procedure is not limited to post-scattering quantities and allows for instance to derive the atomic excitation during the scattering event.
first_indexed 2024-03-12T16:40:14Z
format Article
id doaj.art-236ef531c63a4b909fe5f2d55948c6f7
institution Directory Open Access Journal
issn 1367-2630
language English
last_indexed 2024-03-12T16:40:14Z
publishDate 2016-01-01
publisher IOP Publishing
record_format Article
series New Journal of Physics
spelling doaj.art-236ef531c63a4b909fe5f2d55948c6f72023-08-08T14:31:04ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118909303510.1088/1367-2630/18/9/093035Solving the scattering of N photons on a two-level atom without computationAlexandre Roulet0Valerio Scarani1Centre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, Singapore 117543, SingaporeCentre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, Singapore 117543, Singapore; Department of Physics, National University of Singapore , 2 Science Drive 3, Singapore 117542, SingaporeWe propose a novel approach for solving the scattering of light onto a two-level atom coupled to a one-dimensional waveguide. First we express the physical quantity of interest in terms of Feynman diagrams and treat the atom as a non-saturable linear beamsplitter. By using the atomic response to our advantage, a relevant substitution is then made that captures the nonlinearity of the atom, and the final result is obtained in terms of simple integrals over the initial incoming wavepackets. The procedure is not limited to post-scattering quantities and allows for instance to derive the atomic excitation during the scattering event.https://doi.org/10.1088/1367-2630/18/9/093035waveguide QEDscattering of lightatom-induced correlations
spellingShingle Alexandre Roulet
Valerio Scarani
Solving the scattering of N photons on a two-level atom without computation
New Journal of Physics
waveguide QED
scattering of light
atom-induced correlations
title Solving the scattering of N photons on a two-level atom without computation
title_full Solving the scattering of N photons on a two-level atom without computation
title_fullStr Solving the scattering of N photons on a two-level atom without computation
title_full_unstemmed Solving the scattering of N photons on a two-level atom without computation
title_short Solving the scattering of N photons on a two-level atom without computation
title_sort solving the scattering of n photons on a two level atom without computation
topic waveguide QED
scattering of light
atom-induced correlations
url https://doi.org/10.1088/1367-2630/18/9/093035
work_keys_str_mv AT alexandreroulet solvingthescatteringofnphotonsonatwolevelatomwithoutcomputation
AT valerioscarani solvingthescatteringofnphotonsonatwolevelatomwithoutcomputation