3 years ago

# Topological Zak Phase in Strongly-Coupled LC Circuits.

Félicien Appas, Tal Goren, Karyn Le Hur, Kirill Plekhanov

We show the emergence of topological Bogoliubov bosonic excitations in the relatively strong coupling limit of an LC (inductance-capacitance) one-dimensional quantum circuit. This dimerized chain model reveals a ${\cal Z}_2$ local symmetry as a result of the counter-rotating wave (pairing) terms. The topology is protected by the sub-lattice symmetry, represented by an anti-unitary transformation. The winding of the topological Zak phase across the Brillouin zone can be measured by a reflection measurement of (microwave) light. Our method probes bulk quantities and can be implemented even in small systems ($\sim$ 10 unit cells). We study the robustness of edge modes towards disorder.

Publisher URL: http://arxiv.org/abs/1711.02034

DOI: arXiv:1711.02034v1

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