虫洞上的勒维-勒布隆德费米子
Lévy-Leblond fermions on the wormhole
摘要：
我们提出了一个简单的几何纠缠模型，研究了Bronnikov-Ellis虫洞中$1+2$几何中的非相对论性大质量Lévy-Leblond费米子。该模型等价于$1+3$维中的相对论性无质量狄拉克费米子，其中一个空间方向是平坦的。虫洞的作用是产生量子态，在远离咽喉的地方，量子态近似于两个平坦的、分离的时空区域上的纠缠粒子。该模型的一个吸引人的特点是，它有一个凝聚态类似物，双层碳纳米管连接的双层石墨烯的两个平面的中间能量的制度。因此，我们期望在实验室中实现本文所研究的纠缠态是可能的。我们认为，我们的可解模型，保持拓扑结构的概括将有类似的量子行为。
英文摘要：
We propose a simple model of entanglement generated by geometry, studying non-relativistic massive Lévy-Leblond fermions in the $1+2$ geometry of a Bronnikov-Ellis wormhole. The model is equivalent to that of relativistic massless Dirac fermions in $1+3$ dimensions, where one spatial direction is flat. The effect of the wormhole is to generate quantum states that, far from the throat, are approximated by entangled particles on two flat, separated spacetime regions. An appealing feature of the model is that it has a condensed matter analogue, the regime of intermediate energies for two planes of bilayer graphene linked by a bilayer carbon nanotube. Therefore we expect that it might be possible to realize in the laboratory the entangled states studied here. We argue that generalisations of our solvable model which preserve the topology will have similar quantum behaviour.
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