Stroboscopic Symmetry-Protected Topological Phases

TL;DR

This paper shows how periodic driving of interacting spin systems can realize bosonic symmetry-protected topological phases in one and two dimensions, providing a new method for engineering such phases.

Contribution

It introduces a controlled mechanism to generate SPT phases via high-frequency periodic driving in lattice models, expanding the toolkit for topological phase engineering.

Findings

Realization of bosonic SPT phases in driven spin systems

Concrete 1D and 2D model examples provided

Signatures detectable in stroboscopic local measurements

Abstract

Symmetry-protected topological (SPT) phases of matter have been the focus of many recent theoretical investigations, but controlled mechanisms for engineering them have so far been elusive. In this work, we demonstrate that by driving interacting spin systems periodically in time and tuning the available parameters, one can realize lattice models for bosonic SPT phases in the limit where the driving frequency is large. We provide concrete examples of this construction in one and two dimensions, and discuss signatures of these phases in stroboscopic measurements of local observables.