In this presentation, I will firstly introduce the concept of multi-quanta bundle emission and its applications. Then I mainly introduce our recent works regarding bundle emission theory with electron-phonon and Rabi interactions, respectively. Specifically, we propose the optical heralded multi-phonon bundle emission and parity-symmetry-protected multiphoton emission. Our works broaden the realm of multi-quanta physics, with potential applications for on-chip quantum information processing, quantum metrology, and engineering of new types of quantum devices, such as optically heralded n-phonon guns and symmetry protected n-photon laser.