Emergence of symmetry from random n-body interactions

TL;DR

This paper investigates how symmetries emerge from random n-body interactions in quantum systems, revealing regular spectral patterns and correlations across different particles and exploring their interpretations.

Contribution

It demonstrates the emergence of spectral regularities and correlations from random interactions, highlighting the role of symmetries in many-body quantum systems.

Findings

Regularities in spectra and ground state spins and isospins

Correlations from pairing to spectral sequences

Emergence of symmetry-related patterns in random interactions

Abstract

An ensemble with random n-body interactions is investigated in the presence of symmetries. A striking emergence of regularities in spectra, ground state spins and isospins is discovered in both odd and even-particle systems. Various types of correlations from pairing to spectral sequences and correlations across different masses are explored. A search for interpretation is presented.