Engineering subharmonic responses beyond prethermalization via Floquet scar states

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Original languageEnglish
Article number064306
Journal / PublicationPhysical Review B
Issue number6
Online published13 Feb 2024
Publication statusPublished - Feb 2024



In this work we propose a scheme to engineer subharmonic responses via scar states in a generalized PXP model. We first show that the generalized PXP model also possesses a band of scar states like the pristine PXP model does. In addition, we reveal that a generalized forward-scattering approximation (FSA) still works for these scar states. We further argue that the FSA subspace exhibits an SO(3) symmetry, which enables an SO(3)-FSA approach for the scar states. When such a model is placed under periodic driving, nontrivial Floquet scar states emerge in the quasienergy spectrum. One appealing feature of such Floquet scar states is that they can support subharmonic responses akin to the discrete time crystalline phase. In particular, such subharmonic responses can exist beyond the conventional prethermalization regime, where either large frequencies or large driving amplitudes are required. ©2024 American Physical Society.

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Funding Information: This work is supported by the Research Grants Council of Hong Kong (Grants No. CityU 21304720, No. CityU 11300421, No. CityU 11304823, and No. C7012-21G) and City University of Hong Kong (Projects No. 9610428 and No. 7005938). K.H. is also supported by the Hong Kong PhD Fellowship Scheme. Publisher Copyright: © 2024 American Physical Society.

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