Generating three-photon Rabi oscillations without a large-detuning condition

TL;DR

This paper demonstrates a method to generate three-photon Rabi oscillations without the traditional large-detuning condition by using a tunable artificial atom and modulation techniques, enabling resonance in a small-detuning regime.

Contribution

It introduces a novel protocol employing tunable artificial atoms and modulation to achieve three-photon resonance without large detuning, expanding control over quantum Rabi dynamics.

Findings

Successful generation of three-photon Rabi oscillations in small-detuning regime

Derivation of an effective Hamiltonian equivalent to the anisotropic Rabi model

Numerical simulations confirm detectable photon flux and resonance conditions

Abstract

It is well known that in the quantum Rabi model, a three-photon resonance occurs when the cavity field bare frequency is about 1/3 of the atomic transition frequency. In this manuscript, we show that the resonance can also be generated in the absence of the 1/3 condition by employing an artificial atom with tunable transition frequency. To realize the protocol, the modulation frequency should be comparable to the cavity frequency in order to induce a counter-rotating interaction in the effective Hamiltonian. In this way, three-photon Rabi oscillations can be observed in a small-detuning regime, thus avoiding the excitation of high-energy states. We derive an effective Hamiltonian (equivalent to the anisotropic Rabi model Hamiltonian) to determine the magnitude of the energy splitting and the resonance position. Numerical simulations results show that the protocol not only generates a three-photon resonance, but also has a detectable output photon flux. We hope the protocol can be exploited for the realization of Fock-state sources and the generation of multiparticle entanglement.