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arXiv 1111.0791cond-mat.mes-hallcond-mat.stat-mech
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自由费米子系统中的纠缠、子系统粒子数和拓扑

Entanglement, subsystem particle numbers and topology in free fermion systems

Y. F. Zhang, L. Sheng, R. Shen, Rui Wang, D. Y. Xing

摘要:

研究了半满自由费米子系统中两体纠缠、子系统粒子数和拓扑结构之间的关系。提出了自旋投影粒子数可以区分量子自旋霍尔态和其它态,并可以用来建立一个新的系统拓扑指数.此外,我们应用新的拓扑不变量的无序系统和拓扑相变发生时,无序强度增加超过一个临界值。结果还表明,子系统的粒子数涨落的行为非常相似的纠缠熵。这为纠缠熵提供了一个下界估计,可以利用它来通过实验获得纠缠熵的估计。

英文摘要:

We study the relationship between bipartite entanglement, subsystem particle number and topology in a half-filled free fermion system. It is proposed that the spin-projected particle numbers can distinguish the quantum spin Hall state from other states, and can be used to establish a new topological index for the system. Furthermore, we apply the new topological invariant to a disordered system and show that a topological phase transition occurs when the disorder strength is increased beyond a critical value. It is also shown that the subsystem particle number fluctuation displays behavior very similar to that of the entanglement entropy. This provides a lower-bound estimation for the entanglement entropy, which can be utilized to obtain an estimate of the entanglement entropy experimentally.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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