Dynamical Generation of Topological Magnetic Lattices for Ultracold Atoms

TL;DR

This paper introduces a method to dynamically generate topological magnetic lattices for ultracold atoms using time-periodic magnetic field pulses, enabling the study of topological phases and flat bands.

Contribution

It presents a novel scheme to synthesize effective magnetic fields and topological states in ultracold atoms via magnetic field pulses, offering an alternative to optical methods.

Findings

Realization of topological Chern insulators in ultracold atoms

Demonstration of topological phase transitions and flat bands

Potential for exploring strongly correlated phenomena

Abstract

We propose a scheme to dynamically synthesize a space-periodic effective magnetic field for neutral atoms by time-periodic magnetic field pulses. When atomic spin adiabatically follows the direction of the effective magnetic field, an adiabatic scalar potential together with a geometric vector potential emerges for the atomic center-of-mass motion, due to the Berry phase effect. While atoms hop between honeycomb lattice sites formed by the minima of the adiabatic potential, complex Peierls phase factors in the hopping coefficients are induced by the vector potential, which facilitate a topological Chern insulator. With further tuning of external parameters, both a topological phase transition and topological flat bands can be achieved, highlighting realistic prospects for studying strongly correlated phenomena in this system. Our Letter presents an alternative pathway towards creating and manipulating topological states of ultracold atoms by magnetic fields.