A uniform area law for the entanglement of eigenstates in the disordered XY chain
A uniform area law for the entanglement of eigenstates in the disordered XY chain
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无序 XY 链本征态纠缠的均匀面积定律
DOI：
10.1063/1.4938573
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
G. Stolz
中科院分区：
文献类型：
--
作者：
H. Abdul;G. Stolz
本文考虑了在横向随机磁场中各向同性或各向异性的XY自旋链，其参数由随机变量给出。结果表明，本征函数相关局域化的有效单粒子哈密顿量意味着XY链所有本征态的二体纠缠熵的期望值为统一的面积律，即所有能量下的多体局域化形式.这里可以考虑相对于链的任意连接的子链的纠缠。已知本征函数相关器边界的应用包括随机场中的各向同性XY链以及强或强无序随机场中的各向异性链。
We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective one-particle Hamiltonian implies a uniform area law bound in expectation for the bipartite entanglement entropy of all eigenstates of the XY chain, i.e. a form of many-body localization at all energies. Here entanglement with respect to arbitrary connected subchains of the chain can be considered. Applications where the required eigenfunction correlator bounds are known include the isotropic XY chain in random field as well as the anisotropic chain in strong or strongly disordered random field.
影响因子：
19.6
作者：
Brandão F
通讯作者：
Brandão F
具有有限范围相互作用的量子自旋链中的纠缠熵
影响因子：
2.4
作者：
Its A
通讯作者：
Its A