Topological Josephson Bifurcation Amplifier: Semiclassical theory

TL;DR

This paper develops a semiclassical theory for a topological Josephson bifurcation amplifier, proposing its potential to detect Majorana bound states through bifurcation dynamics.

Contribution

It introduces a theoretical framework for a topological Josephson bifurcation amplifier and suggests its application in identifying Majorana bound states.

Findings

Bifurcation dynamics can signal Majorana states.

Topological Josephson junctions exhibit unique bifurcation behavior.

Potential for noninvasive Majorana detection.

Abstract

Amplifiers based on Josephson junctions allow for a fast and noninvasive readout of superconducting qubits. Motivated by the ongoing progress toward the realization of fault-tolerant qubits based on Majorana bound states, we investigate the topological counterpart of the Josephson bifurcation amplifier. We predict that the bifurcation dynamics of a topological Josephson junction driven in the appropriate parameter regime may be used as an additional tool to detect the emergence of Majorana bound states.