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Quantum Phase Transitions and Excited-State Scaling in Bosonic and Fermionic Pairing Models

机译:挥霍配对模型中量子相变和兴奋状态缩放

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A quantum phase transition (QPT) is a point of singularity in the evolution of the ground state properties as a function of pairing strength. However, a QPT may also be reflected in the properties of excited states and the nature of the low-lying excitation spectrum. This contribution examines excited-state scaling properties in the vicinity of the QPT for bosonic and fermionic two-level pairing models. It is found that the numerically-determined power laws for the excited-state scaling properties can be understood in terms of a simple semiclassical description.
机译:量子相变(QPT)是作为配对强度的函数的地位性质的演化中的奇点的点。然而,QPT也可以反映在激发状态的性质和低位激发谱的性质。此贡献在QPT附近审查了浮能和Fermionic两级配对模型附近的兴奋状态缩放属性。结果发现,可以以简单的半定类描述来理解兴奋状态缩放属性的数值确定的动力定律。

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