Shapiro effect in atomchip-based bosonic Josephson junctions

TL;DR

This paper investigates the Shapiro effect in atomchip-based bosonic Josephson junctions, demonstrating enhanced resonances and comparing different theoretical models to accurately predict system behavior under various interaction regimes.

Contribution

It introduces an analysis of Shapiro resonances in atomchip-based bosonic Josephson junctions, highlighting the importance of multi-mode models for strong interactions and dynamic drives.

Findings

Enhanced Shapiro resonances observed under dynamic driving.

Multi-mode models are necessary for accurate predictions with strong interactions.

MCTDHB method reliably captures spatial dynamics in the system.

Abstract

We analyze the emergence of Shapiro resonances in tunnel-coupled Bose-Einstein condensates, realizing a bosonic Josephson junction. Our analysis is based on an experimentally relevant implementation using magnetic double well potentials on an atomchip. In this configuration the potential bias (implementing the junction voltage) and the potential barrier (realizing the Josephson link) are intrinsically coupled. We show that the dynamically driven system exhibits significantly enhanced Shapiro resonances which will facilitate experimental observation. To describe the systems response to the dynamic drive we compare a single-mode Gross-Pitaevskii (GP) description, an improved two-mode (TM) model and the self-consistent multi-configurational time dependent Hartree for Bosons (MCTDHB) method. We show that in the case of significant atom-atom interactions or strong driving, the spatial dynamics of the involved modes have to be taken into account, and only the MCTDHB method allows reliable predictions.