Displacement Detection with a Vibrating RF SQUID: Beating the Standard Linear Limit

Abstract

We study a novel configuration for displacement detection consisting of a nanomechanical resonator coupled to both, a radio frequency superconducting interference device (RF SQUID) and to a superconducting stripline resonator. We employ an adiabatic approximation and rotating wave approximation and calculate the displacement sensitivity. We study the performance of such a displacement detector when the stripline resonator is driven into a region of nonlinear oscillations. In this region the system exhibits noise squeezing in the output signal when homodyne detection is employed for readout. We show that displacement sensitivity of the device in this region may exceed the upper bound imposed upon the sensitivity when operating in the linear region. On the other hand, we find that the high displacement sensitivity is accompanied by a slowing down of the response of the system, resulting in a limited bandwidth.

References in corpus (8)

• Mass Detection with Nonlinear Nanomechanical Resonator
• High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
• Controllable Coupling between Flux Qubit and Nanomechanical Resonator by Magnetic Field
• Quantum analysis of a linear DC SQUID mechanical displacement detector
• Decoherence and Recoherence in a Vibrating RF SQUID
• Readout methods and devices for Josephson-junction-based solid-state qubits
• Fluctuation-enhanced frequency mixing in a nonlinear micromechanical oscillator
• Nonlinear resonant behavior of the dispersive readout scheme for a superconducting flux qubit

Cited by in corpus (5)

• Cooling and squeezing the fluctuations of a nanomechanical beam by indirect quantum feedback control
• Prospects for cooling nanomechanical motion by coupling to a superconducting microwave resonator
• Quantum Theory of Transmission Line Resonator-Assisted Cooling of a Micromechanical Resonator
• Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector
• Probing the quantum coherence of a nanomechanical resonator using a superconducting qubit II: Implementation