Driven-dissipative topological phases in parametric resonator arrays

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.

Energy harnessing and storage from surface switching with a ferroelectric electrolyte

“…2 This finding is significant as it illustrates these systems' natural formation and self-organization of topological wave patterns. The latter brings us back to Prigogine's dissipative structures and their adaptation to topological amplifiers fabricated with Josephson junctions (JJs), nano-mechanical oscillators, or trapped ions 3 which are precisely what we show herein with (1) a sole sample of Na 2.99 Ba 0.005 ClO and two battery cells, (2) a double layer pouch Zn/Na 2.99 Ba 0.005 ClO/Cu and (3) a coaxial Al/K 2.99 Ba 0.005 ClO/Cu (mesh). Any external force did not actuate the samples and devices; they were either set to a thermogravimetric (TGA) experiment (samples) or set to discharge with an external material resistor with a R ext of 1 or 1.8 kO, enabling the potentiostat to work solely as a voltmeter associated with a thermocouple placed over an electrical insulator on the battery cells' surface.…”