Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence

TL;DR

This paper investigates how many-body adiabatic passage in bosonic systems is influenced by chaos and instability, revealing classical and quantum chaos signatures in different dimensional regimes.

Contribution

It demonstrates the impact of chaos on adiabatic transfer protocols in Bose-Hubbard chains, bridging classical, semiclassical, and quantum analyses.

Findings

Chaos signatures appear in mean-field and quantum simulations.

Low-dimensional chaos affects transfer fidelity.

High-dimensional chaos introduces instability and complexity.

Abstract

Adiabatic passage in systems of interacting bosons is substantially affected by interactions and inter-particle entanglement. We consider STIRAP-like schemes in Bose-Hubbard chains that exhibit low-dimensional chaos (a 3 site chain), and high-dimensional chaos (more than 3 sites). The dynamics that is generated by a transfer protocol exhibits striking classical and quantum chaos fingerprints that are manifest in the mean-field classical treatment, in the truncated-Wigner semiclassical treatment, and in the full many-body quantum simulations.