Reduced density matrices and entanglement entropy in free lattice models
Reduced density matrices and entanglement entropy in free lattice models
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DOI：
10.1088/1751-8113/42/50/504003
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发表时间：
2009-06
期刊：
影响因子：
--
通讯作者：
I. Peschel;V. Eisler
中科院分区：
文献类型：
--
作者：
I. Peschel;V. Eisler
我们回顾了自由费米子或玻色子多粒子系统在基态下的约化密度矩阵的性质。它们的基本特征是它们具有热形式，从而导致具有一定自由粒子哈密顿量的准热力学问题。我们讨论了这一结果的推导、哈密顿量及其本征态的特征、单粒子谱和全谱、由此产生的纠缠，特别是纠缠熵。这适用于各种一维和二维情况，也包括全局或局部淬火后的演变。
We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a certain free-particle Hamiltonian. We discuss the derivation of this result, the character of the Hamiltonian and its eigenstates, the single-particle spectra and the full spectra, the resulting entanglement and in particular the entanglement entropy. This is done for various one- and two-dimensional situations, including also the evolution after global or local quenches.