Journal
NANOPHOTONICS
Volume 11, Issue 8, Pages 1611-1618Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/nanoph-2021-0765
Keywords
nonlinear optics; quantum optics; topological photonics
Categories
Funding
- ARO [W911NF-18-1-0285]
- NSF [1918549, 1846273]
- AFOSR [FA9550-20-1-0040]
- NASA
- NTT Research
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [1918549] Funding Source: National Science Foundation
- Div Of Electrical, Commun & Cyber Sys
- Directorate For Engineering [1846273] Funding Source: National Science Foundation
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This study investigates the dynamics of weakly nonlinear topological systems driven out-of-equilibrium and reveals the existence of topological oscillation in the boundary and corner modes. It also demonstrates the robustness of the quantum properties of topological edge modes against certain disorders.
Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in nonequilibrium scenarios is highly desirable and has led to the development of topological lasers. The topologically protected boundary states usually lie within the bulk bandgap, and selectively exciting them without inducing instability in the bulk modes of bosonic systems is challenging. Here, we consider topological parametrically driven nonlinear resonator arrays that possess complex eigenvalues only in the edge modes in spite of the uniform pumping. We show parametric oscillation occurs in the topological boundary modes of one and two dimensional systems as well as in the corner modes of a higher order topological insulator system. Furthermore, we demonstrate squeezing dynamics below the oscillation threshold, where the quantum properties of the topological edge modes are robust against certain disorders. Our work sheds light on the dynamics of weakly nonlinear topological systems driven out-of-equilibrium and reveals their intriguing behavior in the quantum regime.
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