%0 Conference Paper %F Oral %T Spectral gaps for light in a periodic ensemble of ultracold atoms %+ Groupe d'étude des semiconducteurs (GES) %A Antezza, Mauro %< sans comité de lecture %Z L2C:10-170 %B JPS-ESPCI : “Journées de Physique Statistique” %C Paris, France %8 2010-01-19 %D 2010 %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-01910102 %U https://hal.science/hal-01910102 %~ CNRS %~ UNIV-MONTP2 %~ GES %~ UNIV-MONTPELLIER %~ UM1-UM2