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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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