Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.96.103201

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.

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