Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system

TL;DR

This paper investigates how energy redistributes among interacting bosons in a quantum trimer system after a sudden change in coupling strength, using multiple theoretical approaches and comparing with exact quantum results.

Contribution

It combines linear response, semiclassical, and random matrix theories to analyze energy dynamics and identify their regimes of validity in a chaotic Bose-Hubbard system.

Findings

Quantum-classical correspondence for variance across all dk-values

QCC for other moments only in non-perturbative dk-regime

Method applicability borders identified through comparison with quantum results

Abstract

We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamiltonian undergoes a sudden change dk. Our analysis is based on a three-fold approach combining linear response theory calculations as well as semiclassical and random matrix theory considerations. The dk-borders of applicability of each of these methods are identified by direct comparison with the exact quantum mechanical results. We find that while the variance of the evolving quantum distribution shows a remarkable quantum-classical correspondence (QCC) for all dk-values, other moments exhibit this QCC only in the non-perturbative dk-regime.