Abstract

We study the Hubbard Model with quantum light (see [1] for a review). The model describes N atoms loaded in an optical lattice with K sites interacting with off-resonant light (left panel in Figure 1). The quantum contribution to the diffraction pattern of the atoms is directly related to the spatial correlations of their quantum state which can be measured by detecting light [1]. This scheme allows us to probe order parameters, matter-field quadratures and their squeezing. Finally, this approach allows to recover the phase diagram of the Mott insulator - superfluid -Bose glass phase transition [2].

© 2015 IEEE