Spin-1 models in the ultrastrong coupling regime of circuit QED

TL;DR

This paper proposes a superconducting circuit setup to simulate spin-1 models using ultrastrongly coupled qubit-resonator systems, enabling controlled two-body quantum gates with scalable simulation time.

Contribution

It introduces a novel circuit QED platform for simulating spin-1 models with scalable, controlled interactions in the ultrastrong coupling regime.

Findings

Simulation time remains constant regardless of the number of spins.

The scheme is compatible with current circuit QED technology.

Controlled two-body gates are activated via AC-pulses with symmetry considerations.

Abstract

We propose a superconducting circuit platform for simulating spin-1 models. To this purpose we consider a chain of N ultrastrongly coupled qubit-resonator systems interacting through a grounded SQUID. The anharmonic spectrum of the qubit-resonator system and the selection rules imposed by the global parity symmetry allow us to activate well controlled two-body quantum gates via AC-pulses applied to the SQUID. We show that our proposal has the same simulation time for any number of spin-1 interacting particles. This scheme may be implemented within the state-of-the-art circuit QED in the ultrastrong coupling regime.