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Displaced Fock states of the electromagnetic field have been synthesized byoverlapping the pulsed optical single-photon Fock state |1> with coherentstates on a high-reflection beamsplitter and completely characterized by meansof quantum homodyne tomography. The reconstruction reveals highly non-classicalproperties of displaced Fock states, such as negativity of the Wigner functionand photon number oscillations. This is the first time complete tomographicreconstruction has been performed on a highly non-classical optical state

Synthesis and tomographic characterization of the displaced Fock state of light