%0 Conference Paper %F Oral %T Light propagation in a periodic ensemble of ultracold atoms %+ Laboratoire Kastler Brossel (LKB (Lhomond)) %A Antezza, Mauro %F Invité %< sans comité de lecture %Z L2C:09-099 %B CEWQO2009 %C Turku, Finland %8 2009-05-25 %D 2009 %Z Physics [physics]/Quantum Physics [quant-ph] %Z Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas] %Z Physics [physics]/Physics [physics]/Atomic and Molecular Clusters [physics.atm-clus] %Z Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph] %Z Physics [physics]/Physics [physics]/Optics [physics.optics]Conference papers %X We address the general problem of the excitation spectrum for light coupled to scatterers havingquantum fluctuating positions around the sites of a periodic lattice. In addition to providing an imaginarypart to the spectrum, we show that these quantum fluctuations affect the real part of the spectrum, in a waythat we determine analytically. Our predictions may be observed with ultracold atoms in an optical lattice,on a J 1⁄4 0 ! J0 1⁄4 1 narrow atomic transition. As a side result, we resolve a controversy for theoccurrence of a spectral gap in a fcc lattice. %G English %L hal-01910115 %U https://hal.science/hal-01910115 %~ ENS-PARIS %~ LKB %~ CNRS %~ ALLINSP %~ PSL %~ SORBONNE-UNIVERSITE %~ SU-INF-2018 %~ SU-SCIENCES %~ ENS-PSL %~ ALLIANCE-SU