Driven-dissipative topological phases in parametric resonator arrays

TL;DR

This paper explores topological phases in arrays of parametric oscillators, revealing two robust amplification phases with directional transport and squeezing, and analyzing their stability, disorder resilience, and experimental feasibility.

Contribution

It introduces two topologically protected amplification phases in parametric resonator arrays and characterizes their robustness and potential for experimental realization.

Findings

Two phases of topological amplification with directional transport.

One phase featuring squeezing.

A trivial phase with zero-energy modes and amplification.

Abstract

We study the phenomena of topological amplification in arrays of parametric oscillators. We find two phases of topological amplification, both with directional transport and exponential gain with the number of sites, and one of them featuring squeezing. We also find a topologically trivial phase with zero-energy modes which produces amplification but lacks the robust topological protection of the others. We characterize the resilience to disorder of the different phases and their stability, gain, and noise-to-signal ratio. Finally, we discuss their experimental implementation with state-of-the-art techniques.