Waveguide QED in the Dipole Gauge
- URL: http://arxiv.org/abs/2309.06500v1
- Date: Tue, 12 Sep 2023 18:14:20 GMT
- Title: Waveguide QED in the Dipole Gauge
- Authors: Sergi Terradas-Brians\'o, Luis Mart\'in-Moreno, David Zueco
- Abstract summary: We show that truncations performed in the dipole gauge also yield accurate results in waveguide QED.
Our findings reveal two novel effects in the scattering spectra, which cannot be reproduced in a truncated model using the Coulomb gauge.
We propose an experimental test of our ideas in the context of circuit QED.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In recent studies on ultrastrong coupling between matter and light in
cavities, the significance of gauge choice when employing the widely-used
two-level approximation has been highlighted. Expanding upon these
investigations, we extend the analysis to waveguide QED, where we demonstrate
that truncations performed in the dipole gauge also yield accurate results. To
illustrate this point, we consider the case of a dipole coupled to a cavity
array. Various numerical and analytical techniques have been employed to
investigate the low-energy dynamics of the system. Leveraging these theoretical
tools, we argue that single photon scattering is an ideal method for
investigating gauge-related issues. Our findings reveal two novel effects in
the scattering spectra, which cannot be reproduced in a truncated model using
the Coulomb gauge. Firstly, the primary resonance is modified due to a Lamb
shift contribution. Secondly, we observe asymmetric transmission amplitudes
surrounding this resonance, reflecting the asymmetry of the spectral density in
this model. Additionally, we explore other features in the scattering spectra
resulting from ultrastrong couplings, such as the emergence of Fano resonances
and inelastic channels. Finally, we propose an experimental test of our ideas
in the context of circuit QED.
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