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arXiv 2004.03617cond-mat.str-elcond-mat.stat-mechhep-th
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可解模型中的强耦合量子声子流体

Strongly coupled quantum phonon fluid in a solvable model

Evyatar Tulipman, Erez Berg

摘要:

我们研究了大量的强耦合声子,可以被看作是一个玻色子的Sachdev-Ye-Kitaev模型的变体模型。我们确定了该模型的相图,该模型由玻璃相和无序相组成,它们之间存在一级相变。我们计算的比热无序相,我们诊断的高温交叉到经典极限。我们进一步研究了无序相的实时动力学,在那里我们确定了三个动力学制度作为温度的函数。低温与半经典状态有关,其中声子可以被描述为长寿命的正常模式。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温度制度,声子寿命的普朗克时间尺度$\hbar/k_B T$的顺序。

英文摘要:

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 $\hbar/k_B T$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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