Kitaev管中的最大距离纠缠
Maximal distant entanglement in Kitaev tube
摘要：
本文研究了有限大小正方形格子上的Kitaev模型，在一个方向上具有周期边界条件，在另一个方向上具有开边界条件。基于Kitaev模型的Majorana表示在条件$t=Δ=μ$下等价于砖墙模型的事实，证明了该系统支持强局域化极限下的完美Majorana束缚态.通过引入边模费米子算符和赝自旋表象，我们发现这种边模总是与管的两个边之间的最大纠缠相关联，而与系统的尺寸无关.
英文摘要：
We study the Kitaev model on a finite-size square lattice with periodic boundary conditions in one direction and open boundary conditions in the other. Based on the fact that the Majorana representation of Kitaev model is equivalent to a brick wall model under the condition $t=Δ=μ$, this system is shown to support perfect Majorana bound states which is in strong localization limit. By introducing edge-mode fermionic operator and pseudo-spin representation, we find that such edge modes are always associated with maximal entanglement between two edges of the tube, which is independent of the size of the system.
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