Lipkin-Meshkov-Glick模型：核物理中的“准局域”量子临界性
The Lipkin-Meshkov-Glick model: 'quasi-local' quantum criticality in nuclear physics
摘要：
受最近凝聚态系统局域量子临界性研究的启发，我们研究了核物理的Lipkin-Meshkov-Glick（LMG）模型作为一种“准局域”量子临界性的简单模型。我们确定了一个新的交叉温度，T*（V，W），线性和非线性动力学之间，这是类似于在凝聚态的情况下，重整化的经典和量子临界制度之间的交叉。该温度T* 典型地随着接近量子相变而几何地消失，除了在其变为线性的量子三临界点附近。我们还注意到与凝聚态量子临界性的进一步类比：LMG模型表现出量子有序无序现象，这种现象通常与量子临界点附近的相位重构有关。
英文摘要：
Motivated by recent work on local quantum criticality in condensed matter systems, we study the Lipkin-Meshkov-Glick (LMG) model of nuclear physics as a simple model of a kind of 'quasi-local' quantum criticality. We identify a new crossover temperature, T*(V,W), between linear and nonlinear dynamics, which is analogous to the crossover between the renormalized classical and quantum critical regimes in the condensed-matter case. This temperature T* typically vanishes logarithmically as the quantum phase transition is approached, except near the quantum tricritical point where it becomes linear. We also note a further analogy with condensed-matter quantum criticality: the LMG model exhibits quantum order-by-disorder phenomena, of the type often associated with phase reconstruction near quantum critical points.
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