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arXiv 2608.08105cond-mat.dis-nncond-mat.mes-hallquant-ph

非厄米准晶中超越外势的复合态局域化

Composite-State Localization Beyond the External Landscape in Non-Hermitian Quasicrystals

Tian Zhou, Xue-Bin Wang, Zhongmin Yang, Tao Liu

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中文总结 AI 辅助

该研究在非厄米准周期梯中,以内部构型为控制参数实现复合与未束缚激发间可控可逆的局域化反转,通过破坏势反对称性反转局域化层级,工程化路径稳定了嵌入局域连续体的扩展复合带。

中文摘要 AI 辅助

复合激发无需继承其组分的局域化行为。我们证明,相互作用非厄米准周期梯可实现复合激发与未束缚激发之间可控且可逆的局域化反转,其中内部构型而非仅外势成为局域化的控制参数。两梯腿上的相反复势对同 rung 对的一阶效应相互抵消,但会直接作用于分离粒子,使得扩展复合态持续存在,而未配对区域则发生局域化。强耦合理论将复合态识别为由虚未配对构型产生的涌现弱调制非厄米准晶。破坏势的反对称性会恢复复合带的直接调制并反转局域化层级。工程化构型空间路径进一步稳定了嵌入局域连续体中的扩展复合带,这是常规连续体中束缚态场景的逆过程。我们的结果确立了内部构型作为局域化的可逆控制参数。

英文摘要

A composite excitation need not inherit the localization behavior of its constituents. We show that an interacting non-Hermitian quasiperiodic ladder realizes a controllable and reversible localization inversion between composite and unbound excitations, where internal configuration, rather than only the external potential, becomes a control parameter for localization. Opposite complex potentials on the two legs cancel at first order for a same-rung pair but act directly on separated particles, allowing extended composite states to persist while the unpaired sector becomes localized. A strong-coupling theory identifies the composite state as an emergent weakly modulated non-Hermitian quasicrystal generated by virtual unpaired configurations. Breaking the potential antisymmetry restores a direct modulation of the composite band and reverses the localization hierarchy. Engineering configuration-space pathways further stabilizes an extended composite band embedded within a localized continuum, the inverse of the conventional bound-state-in-the-continuum scenario. Our results establish internal configuration as a reversible control parameter for localization.

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