单向玻色-哈伯德链中的态选择性纠缠与点隙拓扑
State-selective entanglement and point-gap topology in the unidirectional Bose-Hubbard chain
- National Tsing Hua University（国立清华大学）
- National Yang Ming Chiao Tung University（国立阳明交通大学）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
本研究揭示单向玻色-哈伯德链中基态皮肤抑制与稳态纠缠及点隙拓扑的差异，发现稳态纠缠在中等相互作用下出现非单调交叉和空间峰结构。
中文摘要 AI 辅助
我们研究了排斥相互作用对单向玻色-哈伯德模型中皮肤模和纠缠的影响。尽管该可积模型的基态经历超流-莫特转变并伴随皮肤积累的抑制，但相应的纠缠变化取决于所选择的多体态。我们将基态与稳态进行比较，稳态定义为零动量扇区中具有最大虚部能量的本征态。对于单位填充下的十六个格点，我们发现基态密度趋近于均匀填充，其纠缠在莫特极限方向减小，而稳态则表现出非单调的纠缠交叉。在中等相互作用（$U/t=10$）下，稳态的二阶Rényi熵发展出四个空间极大值。我们表明，这些极大值可由四个双占据和四个空穴组成的主构型流形内竞争的子系粒子数扇区来解释，而非仅由子系粒子数方差解释。主导的全局格点对流形保持相同的熵峰结构。在强相互作用下，投影到单双占据-单空穴流形能紧密复现完整的熵分布及其两个边缘峰。此外，我们证明多体绕原点卷绕数在强相互作用下保持非零；一个精确的双格点例子展示了在奇异投影的$U/t\to\infty$极限下它如何变得定义不良。我们的结果区分了基态皮肤抑制与态选择性纠缠和点隙拓扑。
英文摘要
We study the effect of repulsive interactions on skin modes and entanglement in the unidirectional Bose--Hubbard model. Although the ground state of this integrable model undergoes a superfluid--Mott transition with suppressed skin accumulation, the corresponding change in entanglement depends on the selected many-body state. We compare the ground state with the steady state, defined as the largest-imaginary-energy eigenstate in the zero-momentum sector. For sixteen sites at unit filling, we find that the ground-state density approaches uniform filling and its entanglement decreases toward the Mott limit, whereas the steady states exhibit a nonmonotonic entanglement crossover. At intermediate interaction ($U/t=10$), the second Rényi entropy of the steady state develops four spatial maxima. We show that these maxima are accounted for by competing subsystem-number sectors within a dominant configuration manifold of four doublons and four holons, but not by the subsystem particle-number variance alone. The dominant global onsite-pair manifold retains the same entropy peak structure. At strong interaction, projection onto the one-doublon--one-holon manifold closely reproduces the full entropy profile and its two edge peaks. Furthermore, we demonstrate that the many-body winding about the origin remains nonzero at strong interaction; an exact two-site example shows how it becomes ill-defined in the singular projected $U/t\to\infty$ limit. Our results distinguish ground-state skin suppression from state-selective entanglement and point-gap topology.
