We propose a theoretical model to study the quantum phase transition in a double-cavity magnonic system. We find that the system exhibits a second-order phase transition from a parity-symmetric phase to a parity-symmetry-broken phase or a first-order phase transition from a parity-symmetric phase to a bistable phase when the driving strength of one cavity is above a critical value. We obtain the phase diagram, the critical point, and the corresponding critical exponent to characterize the phase transition. We can identify different phase transitions by the different behaviors of the mean magnon number and correlation fluctuation in the vicinity of the critical point. In particular, we show that the phase transition in one cavity can be precisely and efficiently controlled by adjusting the parameters of the other cavity, which suggests that we can easily observe the phase transition at low driving strength in experiment. The effects of additional microwave pulses on the dynamical behavior of the phase-transition observable and the experimental feasibility of our theoretical scheme are discussed as well.

中文翻译：

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双腔磁子系统中的可控量子相变

我们提出了一个理论模型来研究双腔磁子系统中的量子相变。我们发现，当一个腔的驱动强度为高于临界值。我们获得了相图、临界点和相应的临界指数来表征相变。我们可以通过临界点附近的平均磁振子数和相关波动的不同行为来识别不同的相变。特别是，我们表明通过调整另一个腔的参数可以精确有效地控制一个腔中的相变，这表明我们可以在实验中很容易地观察到低驱动强度下的相变。还讨论了附加微波脉冲对相变可观测的动力学行为的影响以及我们理论方案的实验可行性。