Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics

Abstract

Direct measurement of a bulk topological observable in topological phase of matter has been a long-standing issue. Recently, detection of bulk topology through quench dynamics has attracted growing interests. Here, we propose that topological characters of a quantum quadrupole insulator can be read out by quench dynamics. Specifically, we introduce a quantity, a quadrupole moment weighted by the eigenvalues of the chiral operator, which takes zero for the trivial phase and finite for the quadrupolar topological phase. By utilizing an efficient numerical method to track the unitary time evolution, we elucidate that the quantity we propose indeed serves as an indicator of topological character for both noninteracting and interacting cases. The robustness against disorders is also demonstrated.

6 pages, 4 figures for the main text; 8 pages, 6 figures for Supplemental Material

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• Dynamical leakage of Majorana mode into side-attached quantum dot
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Probing Chiral-Symmetric Higher-Order Topological Insulators with Multipole Winding Number
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Recent progress on disorder-induced topological phases