论文标题
在可溶剂模型中强烈耦合的量子声子流体
Strongly coupled quantum phonon fluid in a solvable model
论文作者
论文摘要
我们研究了大量强耦合的声子的模型，这些模型可以看作是Sachdev-Ye-Kitaev模型的玻体变体。我们确定由玻璃相和无序相组成的模型的相图，其一阶相变将其分开。我们计算了无序阶段的比热，我们将高温跨界诊断为经典极限。我们进一步研究了无序阶段的实时动力学，在这里我们将三个动态状态确定为温度的函数。低温与半经典状态相关，可以将声子描述为长期寿命的正常模式。高温与模型的经典极限有关。对于参数空间中的一个大区域，我们确定了一个中间植物制度，其中声子寿命为Planckian Time Scale $ \ hbar/k_b t $的顺序。
We study a model of a large number of strongly coupled phonons that can be viewed as a bosonic variant of the Sachdev-Ye-Kitaev model. We determine the phase diagram of the model which consists of a glass phase and a disordered phase, with a first-order phase transition separating them. We compute the specific heat of the disordered phase, with which we diagnose the high-temperature crossover to the classical limit. We further study the real-time dynamics of the disordered phase, where we identify three dynamical regimes as a function of temperature. Low temperatures are associated with a semiclassical regime, where the phonons can be described as long-lived normal modes. High temperatures are associated with the classical limit of the model. For a large region in parameter space, we identify an intermediate-temperatures regime, where the phonon lifetime is of the order of the Planckian time scale $\hbar/k_B T$.
