论文标题
从代数角度来看量子灾难
Quantum catastrophes from an algebraic perspective
论文作者
论文摘要
我们从代数观点研究量子尖和蝴蝶灾难的特性。该分析采用了相互作用的玻色子模型汉密尔顿，通过在两个不兼容的动态对称限制之间插值来描述特定四极形状之间的量子相变。经典特性是通过使用相干状态来确定与表现出这种灾难的Landau电位相关的完整相图的确定的。通过分析关键汉密尔顿人特征的光谱，过渡速率和对称性来确定量子性能。
We study the properties of quantum cusp and butterfly catastrophes from an algebraic viewpoint. The analysis employs an interacting boson model Hamiltonian describing quantum phase transitions between specific quadrupole shapes by interpolating between two incompatible dynamical symmetry limits. The classical properties are determined by using coherent states to construct the complete phase diagrams associated with Landau potentials exhibiting such catastrophes.The quantum properties are determined by analyzing the spectra, transition rates and symmetry character of the eigenstates of critical Hamiltonians.
