论文标题
统计数据调整了耦合的su-schrieffer-heeger链中边界模式的纠缠
Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
论文作者
论文摘要
我们表明，可以调整量子颗粒之间的相互统计数据，以生成新兴的新型粒子量子力学，以用于物质的对称性保护拓扑阶段的边界模式。作为一种混凝土设置，我们研究了一个伪层系统，该系统定义为具有可调代数的量子颗粒，它们位于两个不同的Su-Schrieffer-Heeger（SSH）链上。我们发现，随着粒子的相互统计数据被调整 - 两个链中存在的边界模式在非平淡无奇的纠缠中表现出突然的相互纠缠熵突然跳跃。我们进一步表明，这种对统计数据的调整导致两个拓扑非平凡阶段之间的一阶转变，这些阶段在链间纠缠的行为上有所不同。结合分析和数值技术以及有效的建模，我们揭示了该系统托管的丰富物理学。在研究一方面拓扑边缘模式的有效低能量子力学的背景下，结果特别相关，另一方面是它们在超电原子中的最新实现。然后，这提供了对这种低能模式的控制操纵。
We show that mutual statistics between quantum particles can be tuned to generate emergent novel few particle quantum mechanics for the boundary modes of symmetry-protected topological phases of matter. As a concrete setting, we study a system of pseudofermions, defined as quantum particles with tunable algebra, which lie on two distinct Su-Schrieffer-Heeger (SSH) chains. We find that as the mutual statistics of the particles are tuned -- the boundary modes present in the two chains gets non-trivially entangled showing a sudden jump in their mutual entanglement entropy. We further show that, such tuning of statistics engenders a first-order transition between two topologically non-trivial phases which differ in the behavior of inter-chain entanglement. Using a combination of analytical and numerical techniques and effective modeling, we uncover the rich physics that this system hosts. The results are of particular relevance in context of the study of the effective low energy quantum mechanics of topological edge modes in one hand and their recent realization in ultracold atoms on the other. This then provides for controlled manipulation of such low energy modes.
