Floquet engineering in superconducting circuits: from arbitrary spin-spin interactions to the Kitaev honeycomb model

TL;DR

This paper presents a method to engineer arbitrary spin-spin interactions in superconducting circuits using periodic modulation, enabling simulation of complex quantum spin models like the Kitaev honeycomb model.

Contribution

It introduces a theoretical framework for generating customizable spin interactions via microwave-frequency modulation in superconducting circuits, facilitating quantum simulation of spin liquids.

Findings

Theoretical derivation of spin interaction generation

Applicable to microwave and radio frequency modulation

Potential to simulate quantum spin liquids like Kitaev model

Abstract

We derive a theory for the generation of arbitrary spin-spin interactions in superconducting circuits via periodic time modulation of the individual qubits or the qubit-qubit interactions. The modulation frequencies in our approach are in the microwave or radio frequency regime so that the required fields can be generated with standard generators. Among others, our approach is suitable for generating spin lattices that exhibit quantum spin liquid behavior such as Kitaev's honeycomb model.