“…Then single trapped ions and quantum dots have been utilized in the fields of phonon laser [43,44,45]. Up to now, numerous theoretical and experimental researches have been proposed, such like the cavity optomechanicsbased ultralow-threshold phonon lasers [39], the PT -symmetric phonon laser with balanced gain and loss [40], the nonreciprocal phonon lasing in a coupled cavity system [41], the phonon laser operating at an exceptional point [46], the scheme of amplifying phonon laser by using phonon stimulated emission coherence [47], the phonon-stimulated emission in cryogenic ionic compounds [48,49], semiconductor superlattices [50] and so on [51,52,53,54]. In addition, phonon laser have also attracted extensive interest in medical imaging and high-precision measurement equipment.…”