论文标题
SYK型号的光学晶格平台
Optical lattice platform for the SYK model
论文作者
论文摘要
Sachdev-Ye-Kitaev（SYK）模型以$ n $限制的典型性使理论上研究其混乱的非Fermi液体行为和全息偶性性能是理想的选择。我们表明，复杂的Syk Hamiltonian来自一个无旋转的流动费，在具有较强障碍的光学kagome晶格中。我们讨论了在Kagome晶格中支持平面光谱的制度，该系统可能具有非分散性。由于光学晶格中随机分布的固定杂质而引起非分散性费米子之间的随机相互作用，该杂质在其位置排除了巡回费米子的存在。我们表明，拟议的设置是实现SYK模型并研究其外来行为的可靠实验平台。我们表明，释放的费米子的速度分布是对状态多体维格尼森频谱密度的敏感探针，而平均的多体洛斯米特回声方案可以测量SYK系统的两点超时相关功能。
The tractability of the Sachdev-Ye-Kitaev (SYK) model at large $N$ limit makes it ideal to theoretically study its chaotic non-Fermi liquid behavior and holographic duality properties. We show that the complex SYK Hamiltonian emerges from a system of spinless itinerant fermions in an optical Kagome lattice with a strong disorder. We discuss the regimes supporting flat band spectra in a Kagome lattice, where the system can be non-dispersive. Random interaction between non-dispersive fermions is induced due to randomly distributed immobile impurities in the optical lattice, that exclude the presence of itinerant fermions at their locations. We show that the proposed setup is a reliable experimental platform to realize the SYK model and study its exotic behavior. We show that the velocity distribution of the released fermions is a sensitive probe of the many-body Wigner-Dyson spectral density of states while the averaged many-body Loschmidt echo scheme can measure two-point out-of-time-ordered correlation functions of the SYK system.
