Quantum sine-Gordon simulations with superconducting circuits

Abstract

In this work, we study how we can simulate the quantum sine-Gordon (qSG) model using superconducting quantum circuits. We describe our circuit configuration and demonstrate why it reproduces the qSG and how to simulate it. Our final result is the comparison between the simulated energy spectrum of the circuit and the lightest breather state energy, which are expected to map to each other in the continuum limit. We find a reasonable agreement between our simulations and the exact result, even though we were limited by different reasons. Finally, we propose a roadmap to improve the results