Generating Squeezed States of Nanomechanical Resonator

Details Generating Squeezed States of Nanomechanical Resonator Generating Squeezed States of Nanomechanical Resonator

2007-04-07

arxiv.org/abs/0704.0960v2

Physics

Quantum Physics

4 pages 1 figure. One figure added, squeezing efficiency added. Noise considered

Scientific paper

We propose a scheme for generating squeezed states in solid state circuits consisting of a nanomechanical resonator (NMR), a superconducting Cooper-pair box (CPB) and a superconducting transmission line resonator (STLR). The nonlinear interaction between the NMR and the STLR can be implemented by setting the external biased flux of the CPB at certain values. The interaction Hamiltonian between the NMR and the STLR is derived by performing Fr$\rm\ddot o$hlich transformation on the total Hamiltonian of the combined system. Just by adiabatically keeping the CPB at the ground state, we get the standard parametric down-conversion Hamiltonian. The CPB plays the role of ``nonlinear media", and the squeezed states of the NMR can be easily generated in a manner similar to the three-wave mixing in quantum optics. This is the three-wave mixing in a solid-state circuit.

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