Topological Zak Phase in Strongly-Coupled LC Circuits - Archive ouverte HAL
Article Dans Une Revue Physical Review B Année : 2018

Topological Zak Phase in Strongly-Coupled LC Circuits

Résumé

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. We present a methos to measure the winding of the topological Zak phase across the Brillouin zone by a reflection measurement of (microwave) light. Our method probes bulk quantities and can be implemented even in small systems. We study the robustness of edge modes towards disorder.

Dates et versions

hal-01682277 , version 1 (12-01-2018)

Identifiants

Citer

Tal Goren, Kirill Plekhanov, Félicien Appas, Karyn Le Hur. Topological Zak Phase in Strongly-Coupled LC Circuits. Physical Review B, 2018, 97 (4), pp.041106. ⟨10.1103/PhysRevB.97.041106⟩. ⟨hal-01682277⟩
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