Floquet engineering from long-range to short-range interactions

TL;DR

This paper introduces a Floquet engineering method to convert long-range interactions into effective short-range interactions in quantum simulators, applicable across various platforms without individual addressing.

Contribution

The authors present a versatile Floquet-based technique to reshape long-range interactions into short-range ones in quantum systems, applicable in multiple dimensions and systems.

Findings

Effective short-range interactions achieved in 1D and 2D systems.

Applicable to various platforms like ions, molecules, Rydberg atoms.

Does not require individual qubit addressing.

Abstract

Quantum simulators based on atoms or molecules often have long-range interactions due to dipolar or Coulomb interactions. We present a method based on Floquet engineering to turn a long-range interaction into a short-range one. By modulating a magnetic-field gradient with one or a few frequencies, one reshapes the interaction profile, such that the system behaves as if it only had nearest-neighbor interactions. Our approach works in both one and two dimensions and for both spin-1/2 and spin-1 systems. It does not require individual addressing, and is applicable to all experimental systems with long-range interactions: trapped ions, polar molecules, Rydberg atoms, nitrogen-vacancy centers, and cavity QED. Our approach allows one achieve a short-range interaction without relying on Hubbard superexchange.