Models for a multimode bosonic tunneling junction

TL;DR

This paper models the relaxation dynamics of a two-mode bosonic tunneling junction under noise and incoherent processes, providing qualitative insights into refilling behavior and potential control mechanisms.

Contribution

It introduces a master equation approach to analyze bosonic tunneling with noise, highlighting the effects of decoherence and interactions on system dynamics.

Findings

Qualitative agreement with experimental refilling dynamics

Decoherence influences tunneling behavior

Interactions can be controlled for desired tunneling outcomes

Abstract

We discuss the relaxation dynamics for a bosonic tunneling junction with two modes in the central potential well. We use a master equation description for ultracold bosons tunneling in the presence of noise and incoherent coupling processes into the two central modes. Whilst we cannot quantitatively reproduce the experimental data of the setup reported in [Phys. Rev. Lett. {\bf 115}, 050601 (2015)], we find a reasonable qualitative agreement of the refilling process of the initially depleted central site. Our results may pave the way for the control of bosonic tunneling junctions by the simultaneous presence of decoherence processes and atom-atom interaction.