玻色子哈伯德模型中的预热化和玻璃化
Prethermalization and glassiness in the bosonic Hubbard model
摘要：
利用截断维格纳近似（TWA）研究了非均匀超流或莫特绝缘体初始态下玻色子哈伯德模型的非平衡动力学.我们发现，足够大的相互作用强度的系统的弛豫发展在两个步骤中：快速弛豫后，系统陷入亚稳态prethermalized状态之前，真正的平衡态。我们发现，这些prethermalized状态的寿命增加了几个数量级，因为我们增加现场相互作用强度超过阈值。我们发现，长寿命的亚稳态的量子动力学的出现与一个遍历（活性）到非遍历（非活性）的动态相变的经典轨迹，有助于半经典极限的合奏。这种动态的相变，这是非常相似的，发现在不同的经典模型的玻璃，是密切相关的经典松弛的动态不均匀性。
英文摘要：
We investigate the non-equilibrium dynamics of the bosonic Hubbard model starting from inhomogeneous superfluid or Mott insulator initial states using the truncated Wigner approximation (TWA). We find that the relaxation of the system develops in two steps for sufficiently large interaction strengths: after a fast relaxation the system gets caught in metastable prethermalized states that precede the true equilibrium state. We find that the lifetime of these prethermalized states increases by several orders of magnitude as we increase the on-site interaction strength beyond a threshold value. We show that the emergence of long-lived metastable states in the quantum dynamics is associated with an ergodic (active) to non-ergodic (inactive) dynamical phase transition in the ensemble of classical trajectories that contribute to the semiclassical limit. This dynamic phase transition, which is very similar to that found in different classical models of glasses, is closely related to the dynamic heterogeneity of the classical relaxation.
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。
