Floquet band engineering with Bloch oscillations

Abstract

This work provides a convenient and powerful means towards the engineering of Floquet bands via Bloch oscillations, by adding a tilted linear potential to periodically driven lattice systems. The added linear field not only restricts the spreading of a time-evolving wavepacket but also, depending on the ratio between the Bloch oscillation frequency and the modulation frequency of the periodic driving, dramatically modifies the band profile and topology. Specifically, we consider a driven Aubry-André-Harper model as a working example, in the presence of a linear field. Almost flat Floquet bands or Floquet bands with large Chern numbers due to the interplay between the periodic driving and Bloch oscillations can be obtained, with the band structure and topology extensively tunable by adjusting the ratio of two competing frequencies. To confirm our finding, we further execute the Thouless pumping of one and two interacting bosons in such a lattice system and establish its connection with the topological properties of single- and two-particle Floquet bands.

arXiv comment11 pages, 6 figures

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• Visual observation of optical Floquet-Bloch oscillations
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Dynamics of non-Hermitian Floquet Wannier-Stark system
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Optical Absorption and Emission from Wannier-Stark Spectra of Moiré Superlattices
• Optically induced delocalization of electrons bound by attractive potentials
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses