Bosons in a narrow-band optical resonator

I will review our recent results on atom-cavity physics with a rubidium Bose-Einstein condensate in a recoil resolving narrow bandwidth optical resonator. I will discuss cooling on a sub-recoil energy scale [1], in-situ monitoring of Bloch oscillations [2], matter wave superradiance [3], non-equilibrium dynamics in the open Dicke model [4], and the emergence of a self-organized cavity-induced Mott insulator [5]. References [1] M. Wolke, et al., Science 337, 85-87 (2012) [2] H. Ke{\ss}ler, et al., New Journal of Physics 18, 102001 (2016) [3] H. Ke{\ss}ler, et al., Phys. Rev. Lett. 113, 070404 (2014) [4] J. Klinder, et al., PNAS 112, 3290 (2015) [5] J. Klinder, et al., Phys. Rev. Lett. 115, 230403 (2015)