Rydberg缀饰费米气体中具有可调未配对Majorana费米子的奇陈数晶格超固态
Chiral odd Chern number lattice supersolidity with tunable unpaired Majorana fermions in a Rydberg-dressed Fermi gas
AI总结：
本文提出在光学晶格中的Rydberg缀饰费米气体中，通过晶格周期与共振缀饰距离的竞争设计有效相互作用，实现奇陈数晶格超固态，从而获得数目可调的手性Majorana费米子，为拓扑量子计算提供新平台。
摘要：
人们对寻找手性Majorana费米子越来越感兴趣，这种费米子可以作为二维拓扑物态的准粒子边缘态出现。在此，我们提出了一个新平台，即二维手性奇陈数晶格超固态，用于在光学晶格中的单组分Rydberg缀饰费米气体中支持多个数目可调的手性Majorana费米子。我们想法的吸引力在于，通过引入晶格周期与共振Rydberg缀饰距离这两个不同长度尺度之间未被揭示的竞争，可以提供一种新方法来操控有效Rydberg缀饰相互作用的强度和符号的空间依赖性。结果表明，这种设计出的有效相互作用可以诱导出一种未被揭示的奇陈数晶格超固态，这一点已通过平均场和蒙特卡罗计算得到证实。此外，我们还发现，由离散平移对称性破缺导致的自发形成的密度调制，为调控由U(1)对称性破缺引起的超流性所导致的系统拓扑性质提供了一种自然方式。因此，它为操控手性Majorana费米子提供了一种替代途径，这将在拓扑量子计算中具有重要应用价值。
英文摘要：
There is growing interest to search the chiral Majorana fermions that could arise as the quasi-particle edge state of a two-dimensional topological state of matter. Here we propose a new platform, i.e., a two-dimensional chiral odd Chern number lattice supersolid state, for supporting multiple number-tunable chiral Majorana fermions from a single component Rydberg-dressed Fermi gas in an optical lattice. The attractiveness of our idea rests on the fact that by introducing the unveiled competition between two distinct length scales, i.e., lattice period and the distance of resonant Rydberg-dressing, can provide a new way to manipulate the spatial dependence of both the strength and sign of the effective Rydberg-dressed interaction. Such a designed effective interaction turns out, can induce an unveiled odd Chern number lattice supersolid state, which is confirmed by both the mean-field and Monte Carlo calculations. Furthermore, we also find that the spontaneously formed density modulation resulted from the discrete translational symmetry breaking provides a natural way of tuning the system's topology arising from the superfluidity induced by the $U(1)$ symmetry breaking. It thus provide an alternative way for manipulating the chiral Majorana fermions, which would be useful in topological quantum computation.
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。
