Subtle Nuances between Quantum and Classical regimes

TL;DR

This paper investigates the subtle differences between quantum and classical behaviors in a bosonic many-body system across various interaction regimes, revealing nuanced phase-space correspondences and patterns.

Contribution

It provides a detailed analysis of classical-quantum correspondence in a triple-well bosonic system, highlighting the semiclassical limit and emergent patterns like 'shrimp' shapes.

Findings

Classical and quantum phase-space projections closely resemble each other.

Patterns similar to 'shrimp' shapes are observed in eigenstate distributions.

The study extends understanding of the semiclassical limit in many-body quantum systems.

Abstract

This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system, providing nuanced insights into its behavior. We examine classical-quantum correspondences across different interaction regimes of bosons in a triple-well potential, ranging from the integrable to the self-trapping regime, and including the chaotic one. The close resemblance between the phase-space mean projections of classical trajectories and those of Husimi distributions evokes the Principle of Uniform Semiclassical Condensation (PUSC) of Wigner functions of eigenstates. Notably, the resulting figures also exhibit patterns reminiscent of Jason Gallas's "shrimp" shapes.