Chaos and two-level dynamics of the Atomtronic Quantum Interference Device

TL;DR

This paper investigates the dynamics of an Atomtronic Quantum Interference Device using a semiclassical approach, revealing chaos-assisted tunneling and effects of a weak-link on phase-space behavior.

Contribution

It introduces a semiclassical analysis of the atomtronic device, highlighting chaos-assisted tunneling and the impact of a weak-link on the system's phase-space dynamics.

Findings

Coherent Rabi oscillations with enhanced frequency due to chaos.

Introduction of a weak-link affects phase-space structure.

Effective 'systems plus bath' description established.

Abstract

We study the Atomtronics Quantum Interference Device employing a semiclassical perspective. We consider an $M$ site ring that is described by the Bose-Hubbard Hamiltonian. Coherent Rabi oscillations in the flow of the current are feasible, with an enhanced frequency due to to chaos-assisted tunneling. We highlight the consequences of introducing a weak-link into the circuit. In the latter context we clarify the phase-space considerations that are involved in setting up an effective "systems plus bath" description in terms of Josephson-Caldeira-Leggett Hamiltonian.