Résumé:

In these lectures we present some results concerning the theoretical study of light waves [1-3] and of atomic matter waves [4-6] propagating in artificial atomic crystals realized by atoms trapped at the notes of an optical lattice and forming 2D or 3D (Bravais or non-Bravais) crystals. The case of not perfectly filled lattices will be also considered to study of the absence of transport due to the occurrence of the Anderson localization in disordered systems. ---------- [1] Fano-Hopfield model and photonic band gaps for an arbitrary atomic lattice Mauro Antezza, Yvan Castin Phys. Rev. A 80, 013816 (2009) [2] Spectrum of light in a quantum fluctuating periodic structure Mauro Antezza, Yvan Castin Phys. Rev. Lett. 103, 123903 (2009) [3] Photonic band gap in an imperfect atomic diamond lattice: penetration depth and effects of finite size and vacancies Mauro Antezza, Yvan Castin Phys. Rev. A 88, 033844 (2013) [4] Quantitative study of two- and three-dimensional strong localization of matter waves by atomic scatterers Mauro Antezza, Yvan Castin, David A. W. Hutchinson Phys. Rev. A 82, 043602 (2010) [5] Matter waves in atomic artificial graphene Nicola Bartolo, and Mauro Antezza Europhys. Lett. 107, 30006 (2014) [6] Matter waves in two-dimensional arbitrary atomic crystals Nicola Bartolo, and Mauro Antezza Phys. Rev. A 90, 033617 (2014)

Commentaires: Cours à l'École de Physique d’été de Mittelwir : Ultracold few and many-body systems: quantum mechanics made crystals clear