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Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain

Mondal, S and Sen, D and Dutta, A (2023) Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain. In: Journal of Physics Condensed Matter, 35 (8).

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Official URL: https://doi.org/10.1088/1361-648X/aca7f7


We study the disconnected entanglement entropy (DEE) of a Kitaev chain in which the chemical potential is periodically modulated with δ-function pulses within the framework of Floquet theory. For this driving protocol, the DEE of a sufficiently large system with open boundary conditions turns out to be integer-quantized, with the integer being equal to the number of Majorana edge modes localized at each edge of the chain generated by the periodic driving, thereby establishing the DEE as a marker for detecting Floquet Majorana edge modes. Analyzing the DEE, we further show that these Majorana edge modes are robust against weak spatial disorder and temporal noise. Interestingly, we find that the DEE may, in some cases, also detect the anomalous edge modes which can be generated by periodic driving of the nearest-neighbor hopping, even though such modes have no topological significance and not robust against spatial disorder. We also probe the behavior of the DEE for a kicked Ising chain in the presence of an integrability breaking interaction which has been experimentally realized. © 2022 IOP Publishing Ltd.

Item Type: Journal Article
Publication: Journal of Physics Condensed Matter
Publisher: Institute of Physics
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Entropy; Quantum entanglement, Entanglement entropy; Fermionic systems; Floquet; Floquet driving; Floquet theory; Large system; Localised; Majorana; Open boundary condition; Spatial disorder, Delta functions, article; entropy; noise; theoretical study
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 27 Jan 2023 07:14
Last Modified: 27 Jan 2023 07:14
URI: https://eprints.iisc.ac.in/id/eprint/79530

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