Quantum Measurement of a Coupled Nanomechanical Resonator -- Cooper-Pair Box System

Abstract

We show two effects as a result of considering the second-order correction to the spectrum of a nanomechanical resonator electrostatically coupled to a Cooper-pair box. The spectrum of the Cooper-pair box is modified in a way which depends on the Fock state of the resonator. Similarly, the frequency of the resonator becomes dependent on the state of the Cooper-pair box. We consider whether these frequency shifts could be utilized to prepare the nanomechanical resonator in a Fock state, to perform a quantum non-demolition measurement of the resonator Fock state, and to distinguish the phase states of the Cooper-pair box.

References in corpus (12)

• Quantum state engineering with Josephson-junction devices
• Manipulating the Quantum State of an Electrical Circuit
• Josephson-Junction Qubits with Controlled Couplings
• Entanglement and decoherence of a micromechanical resonator via coupling to a Cooper box
• Charge echo in a Cooper-pair box
• Measurement induced quantum-classical transition
• Quantum Effects in the Mechanical Properties of Suspended Nanomechanical Systems
• Eigenstates of a Small Josephson Junction Coupled to a Resonant Cavity
• Quantum Computing with Quantum Dots on Linear Supports
• Intrinsic noise of a micro-mechanical displacement detector based on the radio-frequency single-electron transistor
• Mechanical Lamb-shift analogue for the Cooper-pair box
• Single-Electron Measurements with a Micromechanical Resonator

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