  Realizing precise control over multiquanta emission is crucial for quantum
information processing, especially when integrated with advanced techniques of
manipulating quantum states. Here, by spinning the resonator to induce the
Sagnac effect, we can obtain nonreciprocal photon-phonon and photon-magnon
super-Rabi oscillations under conditions of optically driving resonance
transitions. Opening dissipative channels for such super-Rabi oscillations
enables the realization of directional bundle emissions of entangled
photon-phonon pairs and photon-magnon pairs by transferring pure multiquanta
state to bundled multiquanta outside of the system. This nonreciprocal emission
is a flexible switch that can be controlled with precision, and simultaneous
emissions of different entangled pairs (such as photon-phonon or photon-magnon
pairs) can even emerge but in opposite directions by driving the resonator from
different directions. This ability to flexibly manipulate the system allows us
to achieve directional entangled multiquanta emitters, and has also potential
applications for building hybrid quantum networks and on-chip quantum
communications.
