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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Exact electrodynamics versus standard optics for a slab of cold dense gas
AU - Javanainen, Juha
AU - Ruostekoski, Janne
AU - Li, Yi
AU - Yoo, Sung-Mi
N1 - © 2017 American Physical Society
PY - 2017/9/20
Y1 - 2017/9/20
N2 - 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 $ and the wavenumber of resonant light $k$ satisfy $rho k^-3gtrsim 1$. 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 $rho k^-3$, and we demonstrate noticeable effects already at $rho k^-3 simeq 10^-2$. 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.
AB - 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 $ and the wavenumber of resonant light $k$ satisfy $rho k^-3gtrsim 1$. 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 $rho k^-3$, and we demonstrate noticeable effects already at $rho k^-3 simeq 10^-2$. 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.
KW - physics.optics, physics.atom-ph
U2 - 10.1103/PhysRevA.96.033835
DO - 10.1103/PhysRevA.96.033835
M3 - Journal article
VL - 96
JO - Physical review a
JF - Physical review a
SN - 1050-2947
IS - 9
M1 - 033835
ER -