论文标题
与随机$ k $ body互动的平均场相互作用玻色子的波函数结构
Structure of wavefunction for interacting bosons in mean-field with random $k$-body interactions
论文作者
论文摘要
使用Hamiltonian $ h $分析了波函数结构，用于密集的相互作用多个玻璃系统，这是一体$ h（1）$的总和，嵌入了$ k $ - 体相互作用$ v（k）$，具有强度$λ$。在第一个分析中，得出了强度函数方差的完整分析描述，作为$λ$和$ k $的函数，并获得了标记$λ_t$定义热化区域的标记。在强耦合极限（$λ>λ_t$）中，条件$ q $ - 正常密度描述了高斯到半圆形的强度函数，因为人体等级$ k $ k $的相互作用增加。在第二个分析中，强度函数的这种插值形式被用来描述$ k $ - 体相互作用淬灭后的忠诚度衰变，并为主成分数量获得平滑形式，这是有限相互作用的多粒子系统中混乱的度量。流畅的表单非常描述了所有$ k $值的嵌入式集合结果。
Wavefunction structure is analyzed for dense interacting many-boson systems using Hamiltonian $H$, which is a sum of one-body $h(1)$ and an embedded GOE of $k$-body interaction $V(k)$ with strength $λ$. In the first analysis, a complete analytical description of the variance of the strength function as a function of $λ$ and $k$ is derived and the marker $λ_t$ defining thermalization region is obtained. In the strong coupling limit ($λ> λ_t$), the conditional $q$-normal density describes Gaussian to semi-circle transition in strength functions as body rank $k$ of the interaction increases. In the second analysis, this interpolating form of the strength function is utilized to describe the fidelity decay after $k$-body interaction quench and also to obtain the smooth form for the number of principal components, a measure of chaos in finite interacting many-particle systems. The smooth form very well describes embedded ensemble results for all $k$ values.
