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We study the parity-symmetry-breaking quantum phase transition (QPT) in acavity magnonic system driven by a parametric field, where the magnons in aferrimagnetic yttrium-iron-garnet sphere strongly couple to a microwave cavity.With appropriate parameters, this cavity magnonic system can exhibit a richphase diagram, including the parity-symmetric phase, parity-symmetry-brokenphase, and bistable phase. When increasing the drive strength beyond a criticalthreshold, the cavity magnonic system undergoes either a first- or second-ordernonequilibrium QPT from the parity-symmetric phase with microscopic excitationsto the parity-symmetry-broken phase with macroscopic excitations, depending onthe parameters of the system. Our work provides an alternate way to engineerthe QPT in a hybrid quantum system containing the spin ensemble in a ferri- orferromagnetic material with strong exchange interactions.

Parity-symmetry-breaking quantum phase transition via parametric drive in a cavity magnonic system