Analog Superconducting Quantum Simulator for Holstein Polarons

TL;DR

This paper introduces an analog quantum simulator using superconducting circuits to model Holstein polarons, enabling exploration of different regimes and polaron states with potential for observing squeezing effects.

Contribution

It presents a novel superconducting circuit QED approach to simulate the Holstein model, allowing access to various regimes and polaron states not easily studied otherwise.

Findings

Ability to simulate both adiabatic and anti-adiabatic regimes.

Generation of small-polaron states with arbitrary quasimomentum.

Achieving significant squeezing in resonator modes during polaron crossover.

Abstract

We propose an analog quantum simulator for the Holstein molecular-crystal model based on a superconducting circuit QED system in the dispersive regime. By varying the driving field on the superconducting resonators, one can readily access both the adiabatic and anti-adiabatic regimes of this model. Strong e-ph coupling required for small-polaron formation can also be reached. We show that small-polaron state of arbitrary quasimomentum can be generated by applying a microwave pulse to the resonators. We also show that significant squeezing in the resonator modes can be achieved in the polaron-crossover regime through a measurement-based scheme.