Driven-dissipative topological phases in parametric resonator arrays
Álvaro Gómez-León, Tomás B. Ramos, Alejandro González-Tudela, Diego Porras
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.
Topics & Concepts
Topology (electrical circuits)Dissipative systemParametric statisticsPhysicsPhase (matter)ResonatorNoise (video)Topological orderStatistical physicsMathematicsQuantum mechanicsComputer scienceOpticsCombinatoricsStatisticsQuantumArtificial intelligenceImage (mathematics)Topological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsMechanical and Optical Resonators