The entanglement entropy of one-dimensional systems in continuous and homogeneous space
The entanglement entropy of one-dimensional systems in continuous and homogeneous space
复制标题
连续均匀空间中一维系统的纠缠熵
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
E. Vicari
中科院分区：
文献类型：
--
作者：
P. Calabrese;M. Mintchev;E. Vicari
我们介绍了一个系统的框架，用于计算一个紧凑的空间子系统的两体纠缠熵的一维量子气体，可以映射到一个非相互作用的费米子系统。我们表明，当与有限数量的粒子N，雷尼纠缠熵增长为lnN，与一个前因子，是由中心电荷。我们应用这种新的技术的基态和激发态的周期性系统。我们也考虑有边界的系统。我们推导出普遍的领导行为和subleading校正的缩放公式。结果的普适性使我们能够对标度修正的有限尺度标度形式作出预测。
We introduce a systematic framework for calculating the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a non-interacting fermion system. We show that when working with a finite number of particles N, the Rényi entanglement entropies grow as lnN, with a prefactor that is given by the central charge. We apply this novel technique to the ground state and to excited states of periodic systems. We also consider systems with boundaries. We derive universal formulas for the leading behavior and for subleading corrections to the scaling. The universality of the results allows us to make predictions for the finite size scaling forms of the corrections to the scaling.