A novel scheme for generating nonclassical photon states is introduced, which makes the best use of an intrinsic nonlinear interaction between quantized photon fields and Cooper pairs. The relevant system of a single-mode photon field and a tunneling supercurrent in a Josephson junction is described with a two-component boson model, and the quantum dynamics is investigated numerically by using the normal-ordering method. We show that the photon field inside the junction resonator evolves temporally from the vacuum state into quadrature-phase amplitude squeezed states and/or sub-Poissonian states. Backaction to the supercurrent fluctuation is also examined.
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