Topological phases of spinless $p$-orbital fermions in zigzag optical lattices

• URL: http://arxiv.org/abs/2007.16057v2
• Date: Sun, 22 Nov 2020 04:02:59 GMT
• Title: Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Authors: Gaoyong Sun, Wen-Long You and Tao Zhou
• Abstract summary: 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. This work provides a simple scheme to simulate topological phases and the quench dynamics of many-body systems in optical lattices.
• Score: 4.397130429878498
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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