Related Experiment Video
Updated: Jun 29, 2026

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
Published on: April 4, 2017
Scaling near the quantum chaos border in interacting fermi systems
Song1
1Center for Theoretical Physics, Seoul National University, Seoul 151-742, Korea.
Abstract:
The emergence of quantum chaos for interacting Fermi systems is investigated by numerical calculation of the level spacing distribution P(s) as a function of interaction strength U and the excitation energy epsilon above the Fermi level. As U increases, P(s) undergoes a transition from Poissonian (nonchaotic) to Wigner-Dyson (chaotic) statistics and the transition is described by a single scaling parameter given by Z=(Uepsilon(alpha)-u(0))epsilon(1/(2nu)), where u(0) is a constant. While the exponent alpha, which determines the global change of the chaos border, is indecisive within a broad range of 0.9 approximately 2.0, the finiteness of nu, which comes from the increase of the Fock space size with epsilon, suggests that the transition becomes sharp as epsilon increases.
Related Concept Videos
The de Broglie Wavelength
The Uncertainty Principle
Entropy
Entropy
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
Fermi Level
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
Fermi Level Dynamics
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

