Nonlinear Quantum Rabi Model in Trapped Ions

TL;DR

This paper investigates the nonlinear dynamics in trapped-ion quantum models beyond the Lamb-Dicke regime, revealing a cooling blockade and proposing a simulation scheme for the nonlinear quantum Rabi model across all coupling regimes.

Contribution

It introduces a method to simulate the nonlinear quantum Rabi model in all coupling regimes using off-resonant sideband interactions.

Findings

Nonlinearities cause a sideband cooling blockade.

Comparison of linear and nonlinear models in various coupling regimes.

Proposal of a scheme to simulate the nonlinear quantum Rabi model.

Abstract

We study the nonlinear dynamics of trapped-ion models far away from the Lamb-Dicke regime. This nonlinearity induces a sideband cooling blockade, stopping the propagation of quantum information along the Hilbert space of the Jaynes-Cummings and quantum Rabi models. We compare the linear and nonlinear cases of these models in the ultrastrong and deep strong coupling regimes. Moreover, we propose a scheme that simulates the nonlinear quantum Rabi model in all coupling regimes. This can be done via off-resonant nonlinear red and blue sideband interactions, yielding applications as a dynamical quantum filter.