论文标题
aharonov-bohm笼子配合的费米电线中的Majorana零模式
Majorana Zero Modes in Fermionic Wires coupled by Aharonov-Bohm Cages
论文作者
论文摘要
我们设计了一种支持数字方案，以实现由Aharonov-bohm Cages耦合的相互作用的费米阶梯中的Majorana零模式。后者提供了一种有效的机制，可以通过破坏性干扰取消单粒子跳跃。因此，每条电线中的至关重要的对称性是在设置的几何形状中编码的，尤其是其翻译不变性。通用的最近邻居相互作用会产生所需的对成对的相关跳跃。我们在参数空间中展示了扩展拓扑区域的存在，首先是通过琼脂化技术在简化的有效模型中，然后在较大的参数状态下使用矩阵 - 产物态数值模拟。我们演示了与先前模型的绝热连接，包括完全可溶的模型，我们简要评论了合成量子平台中可能的实验实现，例如冷原子样本。
We devise a number-conserving scheme for the realization of Majorana Zero Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. The latter provide an efficient mechanism to cancel single-particle hopping by destructive interference. The crucial parity symmetry in each wire is thus encoded in the geometry of the setup, in particular, its translation invariance. A generic nearest-neighbor interaction generates the desired correlated hopping of pairs. We exhibit the presence of an extended topological region in parameter space, first in a simplified effective model via bosonization techniques, and subsequently in a larger parameter regime with matrix-product-states numerical simulations. We demonstrate the adiabatic connection to previous models, including exactly-solvable ones, and we briefly comment on possible experimental realizations in synthetic quantum platforms, like cold atomic samples.
