锯齿形光晶格中无自旋$p$ -轨道费米子的拓扑相
Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
摘要：
受实验的启发[St-Jean { \it et al}，Nature Photon. { \bf 11}，651（2017）]上的拓扑相位与集体光子模式在锯齿链的极化激元微柱，我们研究了无自旋$p$ -轨道费米子与局部轨道间跳跃和排斥相互作用之间的$p_x$和$p_y$带锯齿光晶格。我们证明，锯齿形光晶格中的无自旋$p$带费米子可以模拟相互作用的Su-Schrieffer-Heeger模型和存在局部跳跃的有效横场伊辛模型。我们用解析和数值方法讨论了该模型的基态相位和量子相变。这一工作为模拟光晶格中多体系统的拓扑相和猝灭动力学提供了一个简单的方案。
英文摘要：
Motivated by the experiment [St-Jean {\it et al}., Nature Photon. {\bf 11}, 651 (2017)] on topological phases with collective photon modes in a zigzag chain of polariton micropillars, we study spinless $p$-orbital fermions with local interorbital hoppings and repulsive interactions between $p_x$ and $p_y$ bands in zigzag optical lattices. We show that spinless $p$-band fermions in zigzag optical lattices can mimic the interacting Su-Schrieffer-Heeger model and the effective transverse field Ising model in the presence of local hoppings. We analytically and numerically discuss the ground-state phases and quantum phase transitions of the model. This work provides a simple scheme to simulate topological phases and the quench dynamics of many-body systems in optical lattices.
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