Digital-analog quantum simulation of generalized Dicke models with superconducting circuits

TL;DR

This paper introduces a scalable digital-analog quantum simulation method for generalized Dicke models using superconducting circuits, enabling efficient simulation of complex light-matter interactions with reduced digital errors.

Contribution

It presents a novel digital-analog approach for simulating generalized Dicke models in superconducting circuits, reducing digital steps and errors, and enabling scalable many-body quantum simulations.

Findings

Efficient simulation with minimal digital steps using a single global analog block.

Reduced digital errors due to fewer digital steps and stable analog blocks.

Simulation efficiency does not increase with the number of qubits.

Abstract

We propose a digital-analog quantum simulation of generalized Dicke models with superconducting circuits, including Fermi-Bose condensates, biased and pulsed Dicke models, for all regimes of light-matter coupling. We encode these classes of problems in a set of superconducting qubits coupled with a bosonic mode implemented by a transmission line resonator. Via digital-analog techniques, an efficient quantum simulation can be performed in state-of-the-art circuit quantum electrodynamics platforms, by suitable decomposition into analog qubit-bosonic blocks and collective single-qubit pulses through digital steps. Moreover, just a single global analog block would be needed during the whole protocol in most of the cases, superimposed with fast periodic pulses to rotate and detune the qubits. Therefore, a large number of digital steps may be attained with this approach, providing a reduced digital error. Additionally, the number of gates per digital step does not grow with the number of qubits, rendering the simulation efficient. This strategy paves the way for the scalable digital-analog quantum simulation of many-body dynamics involving bosonic modes and spin degrees of freedom with superconducting circuits.