论文标题
模式锁定玻璃随机激光的通用类
Universality class of the mode-locked glassy random laser
论文作者
论文摘要
通过在GPU上并行的增强的蒙特卡洛数值模拟，我们研究了模式锁定的玻璃玻璃随机激光器的旋转玻璃模型的临界特性，这是一种$ 4 $ -SPIN的模型，具有带有全局球形约束并淬灭随机相互作用的复杂旋转。使用两个不同的边界条件，我们使用有限的尺寸缩放技术来识别使用随机激光相变的临界点和临界指标。缩放分析的结果是，模式锁定的随机激光器处于平均场普遍性类别，尽管与随机能量模型的平均场类别和窄带近似中的玻璃型随机激光不同，即当前模型的完全连接的版本。最终，低温（高泵浦）相通过重叠分布的均值和复制对称性打破的证据的方式。
By means of enhanced Monte Carlo numerical simulations parallelized on GPU's we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a $4$-spin model with complex spins with a global spherical constraint and quenched random interactions. Using two different boundary conditions for the mode frequencies we identify the critical points and the critical indices of the random lasing phase transition using , with finite size scaling techniques. The outcome of the scaling analysis is that the mode-locked random laser is in a mean-field universality class, though different from the mean-field class of the Random Energy Model and the glassy random laser in the narrow band approximation, that is, the fully connected version of the present model. The low temperature (high pumping) phase is finally characterized by means of the overlap distribution and evidence for the onset of replica symmetry breaking in the lasing regime is provided.
