Topological magnon insulator and quantized pumps from strongly-interacting bosons in optical superlattices

Abstract

We propose a scheme realizing topological insulators and quantized pumps for magnon excitations, based on strongly-interacting two-component ultracold atoms trapped in optical superlattices. Specifically, we show how to engineer the Su-Schrieffer-Heeger model for magnons using state-independent superlattices, and the Rice-Mele model using state-dependent superlattices. We describe realistic experimental protocols to detect the topological signatures of magnon excitations in these two models. In particular, we show that the non-equilibrium dynamics of a single magnon can be exploited to directly detect topological winding numbers and phase transitions. We also describe how topological (quantized) pumps can be realized with magnons, and study how this phenomenon depends on the initial magnon state preparation. Our study opens a new avenue for exploring magnonic topological phases of matter and their potential applications in the context of topological magnon transport.

10 pages, 5 figures. Improved and extended version of arXiv:1901.05614

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• Interaction Induced Topological Charge Pump
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• Topological optical Raman superlattices
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Generalized Aubry-Andre-Harper Models in Optical Superlattices