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23 April 2024
 
  » arxiv » 1703.8438

 Article overview


Exact electrodynamics versus standard optics for a slab of cold dense gas
Juha Javanainen ; Janne Ruostekoski ; Yi Li ; Sung-Mi Yoo ;
Date 22 Mar 2017
AbstractWe study light propagation through a slab of cold gas using both the standard electrodynamics of polarizable media, and massive atom-by-atom simulations of the electrodynamics. The main finding is that the predictions from the two methods may differ qualitatively when the density of the atomic sample $ ho$ and the wavenumber of resonant light $k$ satisfy $ ho k^{-3}gtrsim 1$. The reason is that the standard electrodynamics is a mean-field theory, whereas for sufficiently strong light-mediated dipole-dipole interactions the atomic sample becomes correlated. The deviations from mean-field theory appear to scale with the parameter $ ho k^{-3}$, and we demonstrate noticeable effects already at $ ho k^{-3} simeq 10^{-2}$. In dilute gases and in gases with an added inhomogeneous broadening the simulations show shifts of the resonance lines in qualitative agreement with the predicted Lorentz-Lorenz shift and "cooperative Lamb shift", but the quantitative agreement is unsatisfactory. Our interpretation is that the microscopic basis for the local-field corrections in electrodynamics is not fully understood.
Source arXiv, 1703.8438
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