Control of Multi-level Voltage States in a Hysteretic SQUID Ring-Resonator System

TL;DR

This paper investigates the numerical behavior of a highly hysteretic SQUID ring-resonator system, demonstrating controllable multi-level voltage states that could enable advanced quantum logic and memory applications.

Contribution

It introduces a numerical analysis of multi-level voltage states in a hysteretic SQUID system and shows how voltage pulses can control transitions between these states.

Findings

Multiple stable voltage levels identified in the system.

Transitions between levels can be controlled by voltage pulses.

Potential for multi-level logic and memory applications.

Abstract

In this paper we study numerical solutions to the quasi-classical equations of motion for a SQUID ring-radio frequency (rf) resonator system in the regime where the ring is highly hysteretic. In line with experiment, we show that for a suitable choice of of ring circuit parameters the solutions to these equations of motion comprise sets of levels in the rf voltage-current dynamics of the coupled system. We further demonstrate that transitions, both up and down, between these levels can be controlled by voltage pulses applied to the system, thus opening up the possibility of high order (e.g. 10 state), multi-level logic and memory.