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.

在良好控制的混合量子系统中，相对于磁耦合至量子悬臂的玻色-爱因斯坦凝聚物（BEC），研究了一般Lipkin-Meshkov-Glick（LMG）模型的量子相变（QPT）的操纵。然而，被视为传统不利因素的集体衰变在改变系统对称性中起着关键作用，然后在这个开放的系统中引起额外的QPT。基于从铁磁（FM）阶到反铁磁（AFM）阶的QPT，还演示了将集合自旋绝热地转换为稳态自旋压缩态（SSS）的进一步应用。这项研究可能会提供一个可靠的平台，以更好地控制和可行的方式模拟一般的远程自旋-自旋相互作用。