Related Experiment Video
Updated: Aug 19, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Statistics of spectra for critical quantum chaos in one-dimensional quasiperiodic systems
Yoshihiro Takada1, Kazusumi Ino, Masanori Yamanaka
1Department of Pure and Applied Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo, 153-8902, Japan.
Abstract:
We study spectral statistics of one-dimensional quasiperiodic systems at the metal-insulator transition. Several types of spectral statistics are observed at the critical points, lines, and region. On the critical lines, we find the bandwidth distribution P(B) (w) around the origin (in the tail) to have the form of P(B) (w) approximately w(alpha) [P(B) (w) approximately e(-beta w(gamma) ) ] (alpha,beta,gamma >0) , while in the critical region P(B) (w) approximately w(- alpha') (alpha' >0) . We also find the level spacing distribution to follow an inverse power law P(G) (s) approximately s(-delta) (delta>0) .
Related Concept Videos
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Emission Spectra
The Quantum-Mechanical Model of an Atom
The de Broglie Wavelength
The Pauli Exclusion Principle
Electron Paramagnetic Resonance (EPR) Spectroscopy: Organic Radicals

