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.

arXiv comment10 pages, 5 figures. Improved and extended version of arXiv:1901.05614

References in corpus (31)

• Topological Insulators
• Topological insulators and superconductors
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Topological Bands for Ultracold Atoms
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Schrieffer-Wolff transformation for quantum many-body systems
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Quantum dynamics of a single, mobile spin impurity
• Microscopic observation of magnon bound states and their dynamics
• Observation of the topological Anderson insulator in disordered atomic wires
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Topological characterization of chiral models through their long time dynamics
• Dynamical moments reveal a topological quantum transition in a photonic quantum walk
• Magnonic topological insulators in antiferromagnets
• Geometrical pumping with a Bose-Einstein condensate
• Spatially Resolved Detection of a Spin-Entanglement Wave in a Bose-Hubbard Chain
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Spin pumping and measurement of spin currents in optical superlattices
• Generation and Detection of Atomic Spin Entanglement in Optical Lattices
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Strongly Correlated Bosons on a Dynamical Lattice
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Topological two-body bound states in the interacting Haldane model
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
• Quantum phases and topological properties of interacting fermions in one-dimensional superlattices
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Topological Mott Insulator with Bosonic Edge Modes in 1D Fermionic Superlattices

Cited by in corpus (10)

• Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms
• Effect of disorder on topological charge pumping in the Rice-Mele model
• 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