Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins

TL;DR

This paper investigates a chain of interacting, kicked spins using semiclassical analysis, revealing that collective many-body periodic orbits can dominate spectral properties in certain scenarios.

Contribution

It introduces a semiclassical method to identify all types of many-body periodic orbits in a chain of interacting, kicked spins, highlighting the role of collective orbits.

Findings

Collective many-body periodic orbits can dominate spectral features.

Semiclassical analysis effectively identifies all many-body periodic orbits.

The study advances understanding of quantum chaos in many-body systems.

Abstract

The field of quantum chaos originated in the study of spectral statistics for interacting many-body systems, but this heritage was almost forgotten when single-particle systems moved into the focus. In recent years new interest emerged in many-body aspects of quantum chaos. We study a chain of interacting, kicked spins and carry out a semiclassical analysis that is capable of identifying all kinds of genuin many-body periodic orbits. We show that the collective many-body periodic orbits can fully dominate the spectra in certain cases.