Chaos and two-level dynamics of the atomtronic quantum interference device

Abstract

We study the atomtronic 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 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.

Keywords

• Bose–Hubbard
• atomtronics
• superfluid circuit
• quantum chaos
• Rabi oscillations