Abstract
AbstractThe simulation of non‐perturbative cavity‐QED effects is discussed using systems of trapped ions. Specifically, the implementation of extended Dicke models with both collective dipole‐field and direct dipole–dipole interactions is addressed, which represent a minimal set of models for describing light–matter interactions in the ultrastrong and deep‐strong coupling regime. It is shown that this approach can be used in state‐of‐the‐art trapped ion setups to investigate excitation spectra or the transition between sub‐ and superradiant ground states, which are currently not accessible in any other physical system. The analysis also reveals the intrinsic difficulty of accessing this non‐perturbative regime with larger numbers of dipoles, which makes the simulation of many‐dipole cavity QED a particularly challenging test case for future quantum simulation platforms.
Highlights
The simulation of non-perturbative cavity-Quantum electrodynamics (QED) effects is discussed using perturbation on top of the absolute energy scales and does not considerably alsystems of trapped ions
Quantum electrodynamics (QED) is our fundamental theory for describing the dynamics of charges coupled to the quantized electromagnetic field
From Equation (1) we see that when interpreted in the context of cavity QED, the Dicke model corresponds to the case of a ferroelectric ensemble of dipoles with Jij = −g2∕ωc
Summary
Equation (1) shows that even at a minimal level, models of cavity QED involve collective interactions between spins and a bosonic mode as well as direct spin–spin interactions with different spatial dependencies These terms are not completely independent of each other and in particular the strength of the P2-. Depending on the ratio of g∕ωc and the sign and strength of the couplings Jij, different normal (paraelectric), superradiant (ferroelectric) and subradiant (anti-ferroelectric) phases can occur
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