Quantum Dynamics of Atom-molecule BECs in a Double-Well Potential

TL;DR

This paper explores the complex quantum dynamics of atom-molecule Bose-Einstein condensates in a double-well potential, revealing chaotic behavior and comparing semiclassical and quantum results.

Contribution

It introduces a detailed analysis of chaos in two-component BECs and compares semiclassical and quantum dynamics, highlighting new insights into multi-degree freedom systems.

Findings

Chaotic dynamics emerge in the two-component BEC system.

Level statistics indicate non-periodic behavior.

Comparison shows differences between semiclassical and quantum dynamics.

Abstract

We investigate the dynamics of two-component Bose-Josephson junction composed of atom-molecule BECs. Within the semiclassical approximation, the multi-degree of freedom of this system permits chaotic dynamics, which does not occur in single-component Bose-Josephson junctions. By investigating the level statistics of the energy spectra using the exact diagonalization method, we evaluate whether the dynamics of the system is periodic or non-periodic within the semiclassical approximation. Additionally, we compare the semiclassical and full-quantum dynamics.