Driven-dissipative topological phases in parametric resonator arrays

• URL: http://arxiv.org/abs/2207.13715v3
• Date: Wed, 17 May 2023 09:46:05 GMT
• Title: Driven-dissipative topological phases in parametric resonator arrays
• Authors: \'Alvaro G\'omez-Le\'on and Tom\'as Ramos and Alejandro Gonz\'alez-Tudela and Diego Porras
• Abstract summary: 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 characterize the resilience to disorder of the different phases and their stability, gain, and noise-to-signal ratio. We discuss their experimental implementation with state-of-the-art techniques.
• Score: 62.997667081978825
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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