Hanbury Brown-Twiss interferometry for fractional and integer Mott phases

The theoretical framework of Hanbury Brown - Twiss interferometry (HBTI) is used to study integer and fractionally filled Mott insulator (MI) phases in period-2 optical superlattices. In contrast to the quasimomentum distribution, this second order interferometry pattern exhibits high contrast fringes in the insulating phases. Our detailed study of HBTI suggests that this interference pattern signals the various superfluid - insulator transitions and therefore can be used as a practical method to determine the phase diagram of the system. We find that in the presence of a confining potential the insulating phases become robust as they exist for a finite range of atom numbers. Furthermore, we show that in the trapped case, the HBTI interferogram signals the formation of the MI domains and probes the shell structure of the system.