论文标题
光与时间晶体的耗散相变的对应关系
Correspondence between dissipative phase transitions of light and time crystals
论文作者
论文摘要
我们预测了由不连贯驱动和耗散的非线性光学振荡器产生的时间晶体的出现，非线性也来自耗散。我们表明，在腔频率下旋转的框架中发生了二阶耗散相变，而边界（耗散）时间晶体出现在实验室框架中。我们通过使用与Lindblad Master方程及其对称性相关的Liouvillian超级驱动器来联系这两个现象。这些结果将二阶耗散相变的出现和热力学极限中的耗散时间晶体的出现联系起来，从而可以将它们解释为相同的现象，从而在liouvillian光谱方面，但仅以不同的框架来解释为相同的现象。
We predict the emergence of a time crystal generated by an incoherently driven and dissipative nonlinear optical oscillator, where the nonlinearity also comes from dissipation. We show that a second-order dissipative phase transition of light occurs in the frame rotating at the cavity frequency, while a boundary (dissipative) time crystal emerges in the laboratory frame. We relate these two phenomena by using the Liouvillian superoperator associated with the Lindblad master equation and its symmetries. These results connect the emergence of a second-order dissipative phase transition and a dissipative time crystal in the thermodynamic limit, allowing to interpret them as the same phenomenon in terms of the Liouvillian spectrum, but just in different frames.
