Dynamical characterization of quadrupole topological phases in superconducting circuits

Chaohua Wu; Xin Guan; Jingtao Fan; Gang Chen; Suotang Jia

doi:10.1103/PhysRevA.104.022601

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Dynamical characterization of quadrupole topological phases in superconducting circuits

Chaohua Wu, Xin Guan, Jingtao Fan, Gang Chen, Suotang Jia

DOI 10.1103/PhysRevA.104.022601 · Physical Review A

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Abstract

The recent experimental realization of a programmable two-dimensional square superconducting qubit array opens a new avenue for quantum simulation with qubits [Science 372, 948 (2021)]. Here, we present an experimentally feasible method to achieve two-dimensional superconducting qubit lattice with tunable coupling strengths. A configuration with higher-order topological phases is constructed, featuring topologically protected boundary states in lower dimension (corner states). We show that the quadrupole topological phases can be effectively characterized by the dynamics of the single-excitation quantum state. Moreover, we also explore the detection and dynamics of the corner modes in our qubit lattice system. Particularly, we propose an effective scheme to realize quantum information transfer via the corner states. Our work suggests that superconducting circuits systems are a fertile platform to study novel topological quantum phases and may shed light on the ongoing exploration of topologically protected quantum information processing.