Coupled atomic wires in a synthetic magnetic field
Coupled atomic wires in a synthetic magnetic field
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DOI：
10.1103/physreva.95.043632
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发表时间：
2017-04-24
影响因子：
2.9
通讯作者：
Zoller, P.
中科院分区：
文献类型：
--
作者：
Budich, J. C.;Elben, A.;Zoller, P.
我们提出并研究了在垂直合成磁场中的耦合原子线系统作为实现量子物质奇异相的平台。这包括受开创性工作启发的许多导线阵列中的（分数）量子霍尔态[C。L. Kane等人，物理修订信函88，036401（2002）]，以及双线中的Meissner相和涡旋相。利用一个连续和一个离散空间维度，所提出的设置自然地补充了最近实现的离散对应物，即，Harper-Hofstadter模型和两腿通量阶梯。我们提出了一个深入的理论研究和详细的实验建议，使连续的Harper-Hofstadter模型的独特性质与冷原子实验。对于最小设置的双线，我们探讨如何可以实现的线的亚波长间距。与普通光学晶格相比，这种结构将相关的能量尺度增加了至少一个数量级，从而使费米气体中的Lifshitz跃迁等微妙的多体现象在实验现实的参数范围内可观察到。对于许多线的阵列，我们讨论了陈省身带的出现与容易调谐的平坦度的色散，并显示如何分数量子霍尔态可以稳定在这样的系统。使用创建的光学潜力拉盖尔-高斯光束进行轨道角动量，我们详细介绍了如何耦合原子线设置可以实现在非平面几何形状，如圆柱体，磁盘和圆环。
We propose and study systems of coupled atomic wires in a perpendicular synthetic magnetic field as a platform to realize exotic phases of quantum matter. This includes (fractional) quantum Hall states in arrays of many wires inspired by the pioneering work [C. L. Kane et al., Phys. Rev. Lett. 88, 036401 (2002)], as well as Meissner phases and vortex phases in double wires. With one continuous and one discrete spatial dimension, the proposed setup naturally complements recently realized discrete counterparts, i.e., the Harper-Hofstadter model and the two-leg flux ladder, respectively. We present both an in-depth theoretical study and a detailed experimental proposal to make the unique properties of the semicontinuous Harper-Hofstadter model accessible with cold-atom experiments. For the minimal setup of a double wire, we explore how a subwavelength spacing of the wires can be implemented. This construction increases the relevant energy scales by at least an order of magnitude compared to ordinary optical lattices, thus rendering subtle many-body phenomena such as Lifshitz transitions in Fermi gases observable in an experimentally realistic parameter regime. For arrays of many wires, we discuss the emergence of Chern bands with readily tunable flatness of the dispersion and show how fractional quantum Hall states can be stabilized in such systems. Using for the creation of optical potentials Laguerre-Gauss beams that carry orbital angular momentum, we detail how the coupled atomic wire setups can be realized in nonplanar geometries such as cylinders, disks, and tori.