论文标题
通过量化的位移检测光学晶格中的分数Chern绝缘子
Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
论文作者
论文摘要
由于具有合成量规场的光学晶格的工程，因此在冷原子系统中的相互作用拓扑状态（例如，冷原子系统中的分数绝缘子（FCI）（FCI））最近在实验范围内。但是，检测其发生可能很困难，因为类似于固态系统中的运输测量值，在冷原子设置中执行挑战，并且必须找到替代方案。我们表明，对于$ν= 1/2 $ fci状态，以谐波捕获潜力限制的harper-hofstadter模型的最低频带实现了，可以准确地确定由适用于恒定的实验的原子云的置换，可以准确地确定hall陷阱的电导率$σ_{xy} $。使用矩阵 - 产品状态算法，我们表明，在圆柱和方形几何形状中，在限制电位上恒定力场的应用下，粒子云的运动与$σ_{xy} $成正比。
The realization of interacting topological states of matter such as fractional Chern insulators (FCIs) in cold atom systems has recently come within experimental reach due to the engineering of optical lattices with synthetic gauge fields providing the required topological band structures. However, detecting their occurrence might prove difficult since transport measurements akin to those in solid state systems are challenging to perform in cold atom setups and alternatives have to be found. We show that for a $ν= 1/2$ FCI state realized in the lowest band of a Harper-Hofstadter model of interacting bosons confined by a harmonic trapping potential, the fractionally quantized Hall conductivity $σ_{xy}$ can be accurately determined by the displacement of the atomic cloud under the action of a constant force which provides a suitable experimentally measurable signal for detecting the topological nature of the state. Using matrix-product state algorithms, we show that, in both cylinder and square geometries, the movement of the particle cloud in time under the application of a constant force field on top of the confining potential is proportional to $σ_{xy}$ for an extended range of field strengths.
