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Communications in Theoretical Physics

Quantum Entanglement Creating and Evolving in Two Charge Qubits Coupling to a Nanomechanical Resonator System

Feng‐Yang Zhang, Ying Shi, Chong Li, He‐Shan Song

Published Aug 1, 2011• 2 citations
Publisher

Abstract

We investigate the coupling of two superconducting quantum interference devices (SQUIDs) via a metallic nanomechanical resonator (NAMR), and bring out the effective interaction between the two SQUIDs. By constructing the evolution operator, we also study the evolvement of entanglement in this composed system.
DOI
10.1088/0253-6102/56/2/33

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Abstract We propose a scheme for realizing quadrature squeezing of the mechanical mode in a superconducting electromechanical system, where a nanomechanical resonator (NAMR) is coupled to a superconducting transmission line resonator (STLR) via a superconducting quantum interference device (SQUID), and the SQUID acts as a qubit. Under a large detuning condition, we use the Fröhlich-Nakajima transformation to adiabatically eliminate the qubit and obtain an effective Hamiltonian for the STLR and the NAMR. Our results show that a strong squeezing effect (beyond 3 dB limit) can occur in the NAMR, and the squeezing degree can be optimized by controlling the strength of the driving field and the dissipation ratio of the system. One of the most notable features of our results is the universality, i.e. the results only depend on a few scaled quantities, not on too many parameters.
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