Nonequilibrium diagrammatic approach to strongly interacting photons

  • We develop a nonequilibrium field-theoretical approach based on a systematic diagrammatic expansion for strongly interacting photons in optically dense atomic media. We consider the case where the characteristic photon-propagation range LP is much larger than the interatomic spacing a and where the density of atomic excitations is low enough to neglect saturation effects. In the highly polarizable medium, the photons experience nonlinearities through the interactions they inherit from the atoms. If the atom-atom interaction range LE is also large compared to a, we show that scattering processes with momentum transfer between photons are suppressed by a factor a/LE. We are then able to perform a self-consistent resummation of a specific (Hartree-like) diagram subclass and obtain quantitative results in the highly nonperturbative regime of large single-atom cooperativity. Here we find important, collective phenomena emerging due to the dissipative nature of the interactions, which evenWe develop a nonequilibrium field-theoretical approach based on a systematic diagrammatic expansion for strongly interacting photons in optically dense atomic media. We consider the case where the characteristic photon-propagation range LP is much larger than the interatomic spacing a and where the density of atomic excitations is low enough to neglect saturation effects. In the highly polarizable medium, the photons experience nonlinearities through the interactions they inherit from the atoms. If the atom-atom interaction range LE is also large compared to a, we show that scattering processes with momentum transfer between photons are suppressed by a factor a/LE. We are then able to perform a self-consistent resummation of a specific (Hartree-like) diagram subclass and obtain quantitative results in the highly nonperturbative regime of large single-atom cooperativity. Here we find important, collective phenomena emerging due to the dissipative nature of the interactions, which even give rise to novel phase transitions. The robustness of these is investigated by inclusion of the leading corrections in a/LE. We consider specific applications to photons propagating under EIT conditions along waveguides near atomic arrays as well as within Rydberg ensembles.show moreshow less

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Metadaten
Author:Johannes Lang, Darrick E. Chang, Francesco PiazzaORCiDGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/108395
ISSN:2469-9926OPAC
ISSN:2469-9934OPAC
Parent Title (English):Physical Review A
Publisher:American Physical Society (APS)
Type:Article
Language:English
Year of first Publication:2020
Release Date:2023/10/16
Volume:102
Issue:3
First Page:033720
DOI:https://doi.org/10.1103/physreva.102.033720
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III