title: Detecting correlation functions of ultracold atoms through fourier sampling of time-of-flight images.
abstract: We propose a detection method for ultracold atoms which allows reconstruction of the full one-particle and two-particle correlation functions from the measurements. The method is based on Fourier sampling of the time-of-flight images through two consecutive impulsive Raman pulses. For applications of this method, we discuss a few examples, including detection of phase separation between superfluid and Mott insulators, various types of spin or superfluid orders, entanglement, exotic or fluctuating orders.
authors.affiliation: FOCUS Center and MCTP, Department of Physics, University of Michigan, Ann Arbor, 48109, USA.
authors.forename: L-M
authors.initials: LM
authors.lastname: Duan