Analog quantum simulation of generalized Dicke models in trapped ions

TL;DR

This paper demonstrates how to simulate generalized Dicke models using trapped ions, covering various coupling regimes, and shows that these simulations are feasible with current technology.

Contribution

It introduces a method for analog quantum simulation of generalized Dicke models in trapped ions across different coupling regimes, including ultrastrong and deep-strong coupling.

Findings

Numerical simulations match theoretical models in various regimes.

Simulations include three-qubit and two-qubit Dicke models.

Feasibility of experimental implementation with current technology.

Abstract

We propose the analog quantum simulation of generalized Dicke models in trapped ions. By combining bicromatic laser interactions on multiple ions we can generate all regimes of light-matter coupling in these models, where here the light mode is mimicked by a motional mode. We present numerical simulations of the three-qubit Dicke model both in the weak field (WF) regime, where the Jaynes-Cummings behaviour arises, and the ultrastrong coupling (USC) regime, where rotating-wave approximation (RWA) cannot be considered. We also simulate the two-qubit biased Dicke model in the WF and USC regimes and the two-qubit anisotropic Dicke model in the USC regime and the deep-strong coupling (DSC) regime. The agreement between the mathematical models and the ion system convinces us that these quantum simulations can be implemented in the lab with current or near-future technology. This formalism establishes an avenue for the quantum simulation of many-spin Dicke models in trapped ions.