Evolution of entanglement entropy in strongly correlated bosons in an optical lattice
Evolution of entanglement entropy in strongly correlated bosons in an optical lattice
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DOI：
10.1103/physrevresearch.5.043102
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发表时间：
2022-09
影响因子：
4.2
通讯作者：
Shion Yamashika;D. Kagamihara;R. Yoshii;S. Tsuchiya
中科院分区：
文献类型：
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作者：
Shion Yamashika;D. Kagamihara;R. Yoshii;S. Tsuchiya
研究了一维光晶格中玻色子的二阶Renyi熵随跳跃振幅J突然猝灭的时间演化.具体来说，我们研究的系统淬火到强相关莫特绝缘（MI）制度与$J/U\ll 1$（$U$表示的现场排斥相互作用的强度）从MI限制与$J=0$。在这种情况下，低能量激发态可以有效地描述费米准粒子称为doublons和holons。它们通过猝灭动力学以纠缠对的形式被激发。通过发展一个有效的理论，我们得到了与双光子和合子相关的RE和相关函数之间的直接关系。这种关系使我们能够解析计算RE，并获得一个物理图片的RE，无论是在基态和时间演化过程中通过淬火动力学，在doublon霍隆对。特别是，我们表明，RE是成比例的人口的doublon-holon对跨越边界的子系统。我们的准粒子图片介绍了一些显着的功能，是在以前的研究中没有纠缠熵的自由费米子模型的动力学。它提供了有价值的见解纠缠熵的动力学在强关联系统。
We investigate the time evolution of the second-order R\'enyi entropy (RE) for bosons in a one-dimensional optical lattice following a sudden quench of the hopping amplitude $J$. Specifically, we examine systems that are quenched into the strongly correlated Mott-insulating (MI) regime with $J/U\ll 1$ ($U$ denotes the strength of the on-site repulsive interaction) from the MI limit with $J=0$. In this regime, the low-energy excited states can be effectively described by fermionic quasiparticles known as doublons and holons. They are excited in entangled pairs through the quench dynamics. By developing an effective theory, we derive a direct relation between the RE and correlation functions associated with doublons and holons. This relation allows us to analytically calculate the RE and obtain a physical picture for the RE, both in the ground state and during time evolution through the quench dynamics, in terms of doublon holon pairs. In particular, we show that the RE is proportional to the population of doublon-holon pairs that span the boundary of the subsystem. Our quasiparticle picture introduces some remarkable features that are absent in previous studies on the dynamics of entanglement entropy in free-fermion models. It provides with valuable insights into the dynamics of entanglement entropy in strongly-correlated systems.