2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16220We study quantum dynamics of three dressed Bose-Einstein condensates in a high-Q cavity. The quasiparticle excitation spectrum of this system is found numerically. The stability of the quasiparticle excitation is analyzed. It is shown that there exist instabilities in the excitation spectrum.10 pages, RevtexSoft Condensed Mattertext