Multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model

TL;DR

This paper investigates the generation of multiple-photon bundles in a driven $n$-photon Jaynes-Cummings system, demonstrating conditions for their emission and analyzing their quantum statistical properties.

Contribution

It introduces a detailed analysis of multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model under strong driving, highlighting new quantum coherence phenomena.

Findings

Multiple-photon bundle emission occurs under specific resonant conditions.

Photon correlation functions confirm the quantum nature of the emission.

Quantum trajectories reveal the dynamics of photon bundle formation.

Abstract

We study the multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model composed of a two-level system coupled to a single-mode optical field via the $n$-photon exciting process. Here, the two-level system is strongly driven by a near-resonant monochromatic field, and hence the system can work in the Mollow regime, in which a super-Rabi oscillation between the zero-photon state and the $n$-photon state can take place under proper resonant conditions. We calculate the photon number populations and the standard equal-time high-order correlation functions, and find that the multiple-photon bundle emission can occur in this system. The multiple-photon bundle emission is also confirmed by investigating the quantum trajectories of the state populations and both the standard and generalized time-delay second-order correlation functions for multiple-photon bundle. Our work paves the way towards the study of multiple-photon quantum coherent devices, with potential application in quantum information sciences and technologies.