Multiband and array effects in matter-wave-based waveguide QED

Recent experiments on spontaneous emission of atomic matter waves open a new window into the behavior of quantum emitters coupled to a waveguide. Here we develop an approach based on infinite products to study this system theoretically, without the need to approximate the band dispersion relation of...

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Bibliographic Details
Published in:arXiv.org 2021-08
Main Authors: Lanuza, Alfonso, Kwon, Joonhyuk, Kim, Youngshin, Schneble, Dominik
Format: Article
Language:English
Subjects:
Arrays
Emitters
Matter waves
Polaritons
Quantum electrodynamics
Spontaneous emission
Waveguides
Online Access:Get full text
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Summary:Recent experiments on spontaneous emission of atomic matter waves open a new window into the behavior of quantum emitters coupled to a waveguide. Here we develop an approach based on infinite products to study this system theoretically, without the need to approximate the band dispersion relation of the waveguide. We solve the system for a one-dimensional array of one, multiple and an infinite number of quantum emitters and compare with the experiments. This leads to a detailed characterization of the decay spectrum, with a family of in-gap bound states, new mechanisms for enhanced Markovian emission different from superradiance, and the emergence of matter-wave polaritons.
ISSN:2331-8422
DOI:10.48550/arxiv.2108.11759