原子芯片玻色子约瑟夫森结中的Shapiro效应
Shapiro effect in atomchip-based bosonic Josephson junctions
摘要：
我们分析了隧道耦合玻色-爱因斯坦凝聚体中Shapiro共振的出现，实现了玻色约瑟夫森结。我们的分析是基于一个实验相关的实施使用磁双阱势原子芯片。在这种配置中，电势偏置（实现结电压）和势垒（实现约瑟夫森链路）本质上耦合。我们表明，动态驱动系统具有显着增强的夏皮罗共振，这将有利于实验观察。为了描述系统对动态驱动的响应，我们比较了单模Gross-Pitaevskii（GP）描述，改进的双模（TM）模型和自洽的多组态时间相关Hartree玻色子（MCTDHB）方法。我们表明，在显着的原子-原子相互作用或强驱动的情况下，所涉及的模式的空间动力学必须考虑在内，只有MCTDHB方法允许可靠的预测。
英文摘要：
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.
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