Sugita Ayumu, Aiba Hirokazu
Research Center for Nuclear Physics, Osaka University, 10-1 Mihogaoka, Ibaraki, Osaka 567-0047, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2A):036205. doi: 10.1103/PhysRevE.65.036205. Epub 2002 Feb 11.
We propose the second moment of the Husimi distribution as a measure of complexity of quantum states. The inverse of this quantity represents the effective volume in phase space occupied by the Husimi distribution, and has a good correspondence with chaoticity of classical system. Its properties are similar to the classical entropy proposed by Wehrl, but it is much easier to calculate numerically. We calculate this quantity in the quartic oscillator model, and show that it works well as a measure of chaoticity of quantum states.
我们提出将胡西米分布的二阶矩作为量子态复杂性的一种度量。该量的倒数表示胡西米分布在相空间中占据的有效体积，并且与经典系统的混沌性有很好的对应关系。它的性质类似于韦尔提出的经典熵，但在数值计算上要容易得多。我们在四次方振子模型中计算了这个量，并表明它作为量子态混沌性的度量效果良好。
