论文标题
熵和知识产
Entropies and IPR as Markers for a Phase Transition in a Two-Level Model for Atom-Diatomic Molecule Coexistence
论文作者
论文摘要
研究了一个简单模型中描述原子和双原子分子共存的量子相变（QPT）。简要讨论的模型在热力学（或较大的颗粒数）限制中呈现了二阶基态相变，从一个相的分子冷凝物变为另一个相的diatomic分子原子的平衡。该相变的通常标记是基态能量和基态原子数（或替代分子数）的期望值。在这项工作中，将QPT的其他标记为反参与率（IPR），尤其是Rényi熵，并将其作为QPT标记分析并提出。这两个幅度都出现在QPT的临界点上突然变化。
A Quantum Phase Transition (QPT) in a simple model that describes the coexistence of atoms and diatomic molecules is studied. The model, that is briefly discussed, presents a second order ground state phase transition in the thermodynamic (or large particle number) limit, changing from a molecular condensate in one phase to an equilibrium of diatomic molecules-atoms in coexistence in the other one. Usual markers for this phase transition are the ground state energy and the expectation value of the number of atoms (or, alternatvely, the number of molecules) in the ground state. In this work, other markers for the QPT as the Inverse Participation Ratio (IPR) and, particularly, the Rényi entropy are analysed and proposed as QPT markers. Both magnitudes present abrupt changes at the critical point of the QPT.
