%0 Journal Article
%T Photonic band gap in an imperfect atomic diamond lattice: penetration depth and effects of finite size and vacancies
%+ Laboratoire Charles Coulomb (L2C)
%+ Laboratoire Kastler Brossel (LKB (Lhomond))
%A Antezza, Mauro
%A Castin, Yvan
%Z Labex NUMEV
%Z 14 pages, 7 figures
%< avec comité de lecture
%Z L2C:13-097
%@ 1050-2947
%J Physical Review A : Atomic, molecular, and optical physics [1990-2015]
%I American Physical Society
%V 88
%N 033844
%P 033844
%8 2013-09-25
%D 2013
%Z 1304.7188
%R 10.1103/PhysRevA.88.033844
%K photonic band gap
%K optical lattices
%K Mott phase
%K light penetration depth
%K optical band structure
%K in-gap states
%K vacancies
%Z 42.50.Ct
%Z Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]Journal articles
%X We study the effects of finite size and of vacancies on the photonic band gap recently predicted for an atomic diamond lattice. Close to a $J_g=0\to J_e=1$ atomic transition, and for atomic lattices containing up to $N\approx 3\times10^4$ atoms, we show how the density of states can be affected by both the shape of the system and the possible presence of a fraction of unoccupied lattice sites. We numerically predict and theoretically explain the presence of shape-induced border states and of vacancy-induced localized states appearing in the gap. We also investigate the penetration depth of the electromagnetic field which we compare to the case of an infinite system.
%G English
%2 https://hal.science/hal-00818327/document
%2 https://hal.science/hal-00818327/file/paper.pdf
%L hal-00818327
%U https://hal.science/hal-00818327
%~ ENS-PARIS
%~ UPMC
%~ LKB
%~ CNRS
%~ ALLINSP
%~ L2C
%~ PSL
%~ UPMC_POLE_2
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ ENS-PSL
%~ SU-TI
%~ ALLIANCE-SU
%~ UM-2015-2021