Coherence dynamics of kicked Bose-Hubbard dimers: Interferometric signatures of chaos

TL;DR

This paper investigates how coherence in a kicked Bose-Hubbard dimer evolves, revealing that chaos causes rapid coherence loss, with specific behaviors near hyperbolic points that differ from isolated instabilities.

Contribution

It provides a detailed analysis of coherence dynamics in a kicked Bose-Hubbard dimer, highlighting the role of phase-space structures and chaos in coherence loss and revival phenomena.

Findings

Chaotic regions lead to rapid coherence loss with participation numbers scaling as the entire Hilbert space.

Preparations near hyperbolic points exhibit unique statistical behaviors.

Revival phenomena are linked to low participation numbers near isolated hyperbolic instabilities.

Abstract

We study the coherence dynamics of a kicked two-mode Bose-Hubbard model starting with an arbitrary coherent spin preparation. For preparations in the chaotic regions of phase-space we find a generic behavior with Flouquet participation numbers that scale as the entire $N$-particle Hilbert space, leading to a rapid loss of single particle coherence. However, the chaotic behavior is not uniform throughout the chaotic sea, and unique statistics is found for preparations at the vicinity of hyperbolic points that are embedded in it. This is contrasted with the low log(N) participation that is responsible for the revivals at the vicinity of isolated hyperbolic instabilities.