Collective decay induce quantum phase transition in a well-controlled hybrid quantum system

Abstract Manipulation of the quantum phase transition (QPT) of the general Lipkin-Meshkov-Glick (LMG) model is studied in a well-controlled hybrid quantum system, with respect to the Bose–Einstein condensate (BEC) magnetically coupled to a quantum cantilever. The collective decay treated as a traditional adverse factor, however, plays the key role in changing the systemic symmetry, and then evokes the additional QPTs in this opened system. Basing on the QPT from the ferromagnetic (FM) order to the antiferromagnetic (AFM) order, a further application of steering the collective spins adiabatically into a steady-state spin squeezed state (SSS) is also demonstrated. This investigation may provide a reliable platform for simulating the general long-range spin-spin interactions with the more well-controlled and feasible means.