Protocols for a many-body phase microscope: From coherences and d-wave superconductivity to Green's functions

This work proposes a many-body phase microscope using quantum gas microscopes to probe long-range correlations like phases and coherences in quantum lattice states. By manipulating matter waves in Fourier space, the protocol measures equal-time Green's functions, detects d-wave superconducting order, and reveals hidden off-diagonal order in systems like fractional quantum Hall insulators.

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