论文标题
二次驱动的KERR谐振器中的经典关键动力
Classical critical dynamics in quadratically driven Kerr resonators
论文作者
论文摘要
具有两光子驱动的驱动驱动的Kerr晶格是实验中相关的系统，已知可以展示对称性的相变，该系统属于此处研究的参数态度的热ISING模型的通用类别。在这项工作中，我们对该系统进行有限尺寸的缩放，因为它被淬灭到过渡时，并且发现动态临界指数与$ z \ oft的2.18 $兼容，与经典模拟中的Metropolis Dynamics相对应。此外，我们表明liouvillian间隙尺度具有相同的指数，类似于封闭系统中量子相变的汉密尔顿差距的缩放。
Driven-dissipative kerr lattices with two-photon driving are experimentally relevant systems known to exhibit a symmetry-breaking phase transition, which belongs to the universality class of the thermal Ising model for the parameter regime studied here. In this work, we perform finite-size scaling of this system as it is quenched to the transition and the dynamical critical exponent is found to be compatible with $z\approx2.18$ corresponding with metropolis dynamics in classical simulations. Furthermore, we show that the Liouvillian gap scales with the same exponent, similar to scaling of the Hamiltonian gap at quantum phase transitions in closed systems.
