光晶格中用阿贝尔和非阿贝尔规范场模拟狄拉克费米子
Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices
摘要：
在这项工作中，我们提出了一个光晶格设置实现一个完整的狄拉克哈密顿量在2+1维。我们展示了如何耦合到狄拉克场的所有可能的外部电位可以产生扰动的蜂窝晶格模型的现有的耦合，而不需要额外的激光场。这大大简化了所提出的实施方式，仅需要激光束强度的空间调制。最后，我们提出了几个实验来观察狄拉克场的设置的属性。
英文摘要：
In this work we present an optical lattice setup to realize a full Dirac Hamiltonian in 2+1 dimensions. We show how all possible external potentials coupled to the Dirac field can arise from perturbations of the existing couplings of the honeycomb lattice model, without the need of additional laser fields. This greatly simplifies the proposed implementations, requiring only spatial modulations of the intensity of the laser beams. We finally suggest several experiments to observe the properties of the Dirac field in the setup.
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