近日，福州大学王寰宇团队研究了周期驱动扩展非厄米二粒子玻色-哈伯德模型中的无间隙拓扑双布子。2026年4月6日出版的《物理评论A》杂志发表了这项成果。

研究组展示了在周期性驱动的扩展非厄米双粒子Bose-Hubbard模型中Floquet双子的形成。在强相互作用极限下，对双光子隧穿的人为调控可以导致拓扑相变。同时，在低频驱动区域，平庸与非平庸拓扑的双子态均表现为无能隙；通过逆参与比的异常峰值可以识别非平庸的拓扑特征。

在高频极限下，研究组通过Magnus展开解析地得到了与时间无关的有效哈密顿量，并利用转移矩阵方法揭示了一个显著现象：尽管固定的非互易隧穿会导致偏向单一边界的局域化，但通过改变驱动频率、双粒子相互作用强度或双光子隧穿振幅，Floquet双子的皮肤局域中心可以转向不同侧。最后，研究组指出，由于存在显著的能隙，具有这种异常皮肤局域化的Floquet双子不会渗透到连续谱中。

附：英文原文

Title: Gapless topological doublons in the periodically driven extended non-Hermitian two-particle Bose-Hubbard model

Author: Huan-Yu Wang, Wu-Ming Liu

Issue&Volume: 2026/04/06

Abstract: We demonstrate the formation of Floquet doublons in the periodically driven extended non-Hermitian two-particle Bose-Hubbard model, where in the strong interaction limit an artificial manipulation of two-photon tunneling can lead to topological phase transitions. Meanwhile, both the trivial and the topological nontrivial doublon states are gapless in the low-frequency driving regime, and nontrivial topological features can be identified via the extraordinary peaks of the inverse participation ratio. In the high-frequency limit, the time-independent effective Hamiltonian is analytically obtained via the Magnus expansion, where through the transfer matrix approach we illustrate the remarkable phenomenon that the skin localization center of Floquet doublons can be turned to different sides upon changing the driving frequency, the two-particle interaction strength, or the amplitude of two-photon tunneling despite the single-boundary favored localization induced by the fixed nonreciprocal tunneling. Finally, we present that such Floquet doublons with abnormal skin localization will not penetrate to continuum due to the existence of pronounced energy gaps.

DOI: 10.1103/chk3-crdn

Source: https://journals.aps.org/pra/abstract/10.1103/chk3-crdn

期刊信息

Physical Review A：《物理评论A》，创刊于1970年。隶属于美国物理学会，最新IF：2.97

官方网址：https://journals.aps.org/pra/

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