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

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.

Dynamical N-photon bundle emission

“…In this appendix, we derive the dressed-state master equation given in equation (14), which governs the evolution of the circuit-QED system in the ultrastrong-coupling regime [63][64][65]. We consider the case where the resonator and the qubit are coupled with two independent heat baths, then the Hamiltonian of the whole system including the circuit-QED system and its baths reads…”

“…Multi-photon sources [1][2][3] have wide applications in quantum communication [4], lithography [5], spectroscopy [6,7], quantum metrology [8], and quantum biology [9,10]. Multi-photon bundle emission [11][12][13][14][15], as one of the physical mechanisms for generation of multi-photon sources, has attracted considerable interest in the past few years. In general, an advanced preparation of the N-photon states is necessary for the implementation of N-photon bundle emission.…”

“…To date, many methods have been proposed to generate N-photon states in various physical systems, such as cavity quantum electrodynamical (QED) systems [11][12][13][14][15][16][17][18][19], circuit-QED systems [20], coupled photon-atom systems [21][22][23][24][25][26][27][28][29], Rydberg atomic ensembles [30,31], waveguide systems [32][33][34], Kerr cavity systems [35], and cavity optomechanical systems [36,37]. Particularly appealing, N-photon bundle emission based on the Mollow physics of resonance fluorescence [11][12][13][14] and parity symmetry of quantum Rabi model [15] have recently been proposed. Meanwhile, the N-photon bundle emission has been realized experimentally in a dc-biased superconducting circuit [38].…”