Multistability of a Josephson parametric amplifier coupled to a mechanical resonator

TL;DR

This paper investigates how coupling a Josephson Parametric Amplifier to a mechanical resonator can induce multistability, significantly affecting its dynamics and potential for mechanical motion detection.

Contribution

It demonstrates that coupling a JPA to a mechanical resonator can lead to multistability, expanding understanding of nonlinear dynamics in such hybrid quantum systems.

Findings

Coupling induces multistability in JPA dynamics.

Mechanical driving significantly alters JPA behavior.

Potential applications in mechanical motion detection.

Abstract

We study the dynamics of Josephson Parametric Amplifier (JPA) coupled to a mechanical oscillator, as realised with a dc Superconducting Quantum Interference Device (SQUID) with an embedded movable arm. We analyse this system in the regime when the frequency of the mechanical oscillator is comparable in magnitude with the plasma oscillation of the SQUID. When the nano-mechanical resonator is driven, it strongly affects the dynamics of the JPA. We show that this coupling can considerably modify the dynamics of JPA and induce its multistability rather than common bistability. This analysis is relevant if one considers a JPA for detection of mechanical motion.