ICFO-Institut de Ciències Fotòniques, Parc Mediterrani de la Tecnologia, 08860 Castelldefels, Spain.
Phys Rev Lett. 2012 Dec 28;109(26):267203. doi: 10.1103/PhysRevLett.109.267203. Epub 2012 Dec 26.
We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of the interaction. The phase diagram can be used as a guide for future experiments with trapped ions. We find two gapped phases, one dominated by the transverse field, exhibiting quasi-long-range order, and one dominated by the long-range interaction, with long-range Néel ordered ground states. We determine the location of the quantum critical points separating those two phases. We determine their critical exponents and central charges. In the phase with quasi-long-range order the ground states exhibit exotic corrections to the area law for the entanglement entropy coexisting with gapped entanglement spectra.
我们研究了具有长程反铁磁相互作用的横场伊辛模型，其随距离以幂律衰减。我们研究了作为相互作用指数函数的相图和纠缠特性。该相图可作为未来囚禁离子实验的指南。我们发现了两个有能隙的相，一个由横向场主导，表现出准长程有序，另一个由长程相互作用主导，具有长程奈尔有序的基态。我们确定了分离这两个相的量子临界点的位置。我们确定了它们的临界指数和中心电荷。在具有准长程有序的相中，基态表现出纠缠熵的面积定律的奇异修正，同时存在有能隙的纠缠谱。
