Driven-dissipative topological phases in parametric resonator arrays
Quantum Physics
2023-05-24 v3 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.2207.13715,
title = {Driven-dissipative topological phases in parametric resonator arrays},
author = {Álvaro Gómez-León and Tomás Ramos and Alejandro González-Tudela and Diego Porras},
journal= {arXiv preprint arXiv:2207.13715},
year = {2023}
}
Comments
23 pages and 19 labeled figures. Also An Appendix with the detailed calculations at the end