Central Charge of Periodically Driven Critical Kitaev Chains.
Central Charge of Periodically Driven Critical Kitaev Chains.
复制标题
周期性驱动的关键 Kitaev 链的中心电荷。
DOI：
10.1103/physrevlett.121.076802
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发表时间：
2018
影响因子：
8.6
通讯作者：
A. Mitra
中科院分区：
文献类型：
--
作者：
Daniel J. Yates;Y. Lemonik;A. Mitra
周期性驱动的Kitaev链显示出丰富的相图作为驱动的振幅和频率是不同的，与拓扑相变分离的区域具有不同数量的马约拉纳零和π模式。我们探讨是否临界点分离不同阶段的周期性驱动链的特点是由一个普遍的中心电荷。我们肯定地回答这个问题，通过研究纠缠熵（EE）的数值和解析的最低纠缠多粒子本征态在任意的非频闪和频闪时间。我们发现，EE在临界点的规模与时间无关的中心电荷，和Floquet微动只给subleading修正EE。这一结果也推广到多临界点，EE被发现有一个中心电荷，是交叉的临界线的中心电荷的总和。
Periodically driven Kitaev chains show a rich phase diagram as the amplitude and frequency of the drive is varied, with topological phase transitions separating regions with different number of Majorana zero and π modes. We explore whether the critical point separating different phases of the periodically driven chain may be characterized by a universal central charge. We affirmatively answer this question by studying the entanglement entropy (EE) numerically and analytically for the lowest entangled many particle eigenstate at arbitrary nonstroboscopic and stroboscopic times. We find that the EE at the critical point scales logarithmically with a time-independent central charge, and that the Floquet micromotion gives only subleading corrections to the EE. This result also generalizes to multicritical points where the EE is found to have a central charge that is the sum of the central charges of the intersecting critical lines.