Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder
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Abstract
We propose a quasi-one-dimensional non-Hermitian Creutz ladder with an entirely flat spectrum by introducing alternating gain and loss components while maintaining inversion symmetry. Destructive interference generates a flat spectrum at the exceptional point, where the Creutz ladder maintains coalesced and degenerate eigenvalues with compact localized states distributed in a single plaquette. All excitations are completely confined within the localization area, unaffected by gain and loss. Single-site excitations exhibit nonunitary dynamics with intensities increasing due to level coalescence, while multiple-site excitations may display oscillating or constant intensities at the exceptional point. These results provide insights into the fascinating dynamics of non-Hermitian localization, where level coalescence and degeneracy coexist at the exceptional point.
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S. M. Zhang, T. Y. He, L. Jin. Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder[J]. Chin. Phys. Lett., 2024, 41(2): 027201. DOI: 10.1088/0256-307X/41/2/027201
S. M. Zhang, T. Y. He, L. Jin. Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder[J]. Chin. Phys. Lett., 2024, 41(2): 027201. DOI: 10.1088/0256-307X/41/2/027201
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S. M. Zhang, T. Y. He, L. Jin. Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder[J]. Chin. Phys. Lett., 2024, 41(2): 027201. DOI: 10.1088/0256-307X/41/2/027201
S. M. Zhang, T. Y. He, L. Jin. Localization Dynamics at the Exceptional Point of Non-Hermitian Creutz Ladder[J]. Chin. Phys. Lett., 2024, 41(2): 027201. DOI: 10.1088/0256-307X/41/2/027201
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