Entanglement and spectra in topological many-body localized phases

K. S. C. Decker; D. M. Kennes; J. Eisert; C. Karrasch

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Entanglement and spectra in topological many-body localized phases

机译：拓扑多体局域相中的纠缠和谱

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Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is less clear, however, is how topological features interplay with many-body localized phases as well as the nature of the transition between a topological and a trivial state within the latter. In this paper, we numerically address these questions using a combination of extensive tensor network calculations, specifically density matrix renormalization-group-X, as well as exact diagonalization, leading to a comprehensive characterization of Hamiltonian spectra and eigenstate entanglement properties.

机译：相互作用和无序结合在一起的多体局部系统违反了量子统计力学的期望：与遍历系统相反，它们在经历非平衡动力学时不会热化。但是，尚不清楚的是拓扑结构特征如何与多体本地化阶段相互作用，以及拓扑结构和琐碎状态之间的过渡状态。在本文中，我们使用广泛的张量网络计算，特别是密度矩阵重整化-X组，以及精确的对角化，在数值上解决了这些问题，从而全面表征了哈密顿光谱和本征态纠缠特性。

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《Physical review》 |2020年第1期|014208.1-014208.6|共6页
作者
K. S. C. Decker; D. M. Kennes; J. Eisert; C. Karrasch;
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Institut fuer Mathematische Physik Technische Universitaet Braunschweig Mendelssohnstraβe 3 38106 Braunschweig Germany;

Institut fuer Theorie der Statistischen Physik RWTH Aachen University and JARA-Fundamentals of Future Information Technology 52056 Aachen Germany Max Planck Institute for the Structure and Dynamics of Matter Center for Free Electron Laser Science 22761 Hamburg Germany;

Dahlem Center for Complex Quantum Systems and Fachbereich Physik Freie Universitat Berlin 14195 Berlin Germany;

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1. Entanglement and spectra in topological many-body localized phases [J] . Physical review, B . 2020,第1期

机译：拓扑许多局部阶段的纠缠和光谱
2. Power-Law Entanglement Spectrum in Many-Body Localized Phases [J] . Serbyn Maksym, Michailidis Alexios A., Abanin Dmitry A., Physical review letters . 2016,第16期

机译：多体局部相位的幂律纠缠谱
3. Gumbel statistics for entanglement spectra of many-body localized eigenstates [J] . Buijsman Wouter, Gritsev Vladimir, Cheianov Vadim Physical review . 2019,第20期

机译：许多身体局部统计局部纠缠光谱的Gumbel统计
4. Many-body effects in the gain spectra of GaN/AlGaN quantum wells with localized states [C] . Takeshi Uenoyama Conference on physics and simulation of optoelectronic devices . 1998

机译：GaN / Algan量子井的增益光谱与局部状态的许多身体效果
5. Quantum order, entanglement and localization in many-body systems [D] . Khemani, Vedika. 2016

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6. Shadows of anyons and the entanglement structure of topological phases [O] . J. Haegeman, V. Zauner, N. Schuch, -1

机译：任何子的阴影和拓扑阶段的纠缠结构
7. Entanglement and spectra in topological many-body localized phases [O] . K. S. C. Decker, D. M. Kennes, J. Eisert, 2020

机译：拓扑许多局部阶段的纠缠和光谱

Entanglement and spectra in topological many-body localized phases

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