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arXiv 2602.02102cond-mat.quant-gascond-mat.mes-hallnlin.PS
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非互易性诱导的分数非线性托尔塞斯泵浦

Nonreciprocity Induced Fractional Nonlinear Thouless Pumping

Zhejiang Normal University(浙江师范大学)

Yanqi Zheng, Kun Pu, Ligging Ren, Chenxi Bai, Zhaoxin Liang

AI总结:

本文研究了非厄米特和非线性里希-梅尔模型中的非线性托尔塞斯泵浦,揭示了非厄米特参数如何诱导分数拓扑相,即使在传统线性方法预测的量化拓扑不变量存在的情况下。

摘要:

最近对由辅助本征值方程$HΨ=ωS(ω)Ψ$[T. Isobe et al., Phys. Rev. Lett. 132, 126601 (2024); C. Bai and Z. Liang, 111, 042201 (2025); Phys. Rev. A 112, 052207 (2025)]调控的非线性本征值非线性拓扑输运的兴趣急剧上升,而非传统守恒设置中的薛定谔方程$HΨ=EΨ$。然而,非厄米特泛化仍处于未开发状态。在本文中,我们被激励研究非厄米特和非线性里希-梅尔模型中的非线性托尔塞斯泵浦。特别是,我们揭示了非厄米特参数如何在传统线性方法预测的量化拓扑不变量存在的情况下诱导分数拓扑相。关键的是,这些分数相在辅助本征值方程的框架内自然得到解释,直接将非线性谱特性与体-边对应关系联系起来。我们的发现揭示了非线性和非厄米特性相互作用所产生的新出现现象,为拓扑绝缘体的设计和现实世界中量子边态的受控操控提供了关键见解。

英文摘要:

Recent interest has surged in eigenvalue's nonlinearity-based topological transport governed by the equation of auxiliary eigenvalues $HΨ=ωS(ω)Ψ$ [T. Isobe et al., Phys. Rev. Lett. 132, 126601 (2024); C. Bai and Z. Liang, 111, 042201 (2025); Phys. Rev. A 112, 052207 (2025)] rather than the conventional Schrodinger equation $HΨ=EΨ$ in conservative settings, yet non-Hermitian generalizations remain uncharted. In this work, we are motivated to investigate the nonlinear Thouless pumping in a non-Hermitian and nonlinear Rice-Mele model. In particular, we uncover how non-Hermiticity parameters can induce fractional topological phases--even in the presence of quantized topological invariants as predicted by conventional linear approaches. Crucially, these fractional phases are naturally explained within the framework of the equation of auxiliary eigenvalues, directly linking nonlinear spectral characteristics to the bulk-boundary correspondence. Our findings reveal novel emergent phenomena arising from the interplay between nonlinearity and non-Hermiticity, providing key insights for the design of topological insulators and the controlled manipulation of quantum edge states in the real world.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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