Abstract

We investigate the dynamics of a system consisting of a Cooper‐pair box and two superconducting transmission line resonators. There exist both linear and nonlinear interactions in such a system. We show that single‐photon entanglement state can be generated in a simple way in the linear interaction regime. In nonlinear interaction regime, we derive the Hamiltonian of degenerate three‐wave mixing and propose a scheme for generating squeezed state of microwave using the three‐wave mixing in solid state circuits. In the following, we design a system for generating squeezed states of nanamechanical resonator.

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