# Analog quantum simulation of generalized Dicke models in trapped ions. (arXiv:1802.01853v1 [quant-ph])

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.