量子力学的朗道-齐纳模型的两个能级系统驱动的线性时间依赖的失谐已经作为量子动力学的教科书范例了几十年。在他们的开创性工作[L。D.朗道,物理学。Z.索杰特2,46(1932); C. Zener,Proc. Royal Soc. London 137,696(1932)],Landau和Zener导出了两个状态之间的跃迁概率的非微扰预测,其通常用作分析更复杂系统的参考点。一个特别有趣的问题是,这个框架是否可以扩展到描述多体量子动力学。在这里,我们报告的超冷原子系统的实验和理论研究,提供了一个直接的多体推广的朗道-齐纳问题。在成对的隧道耦合的一维玻色液体的系统中,我们展示了如何调整的相关性的一维气体,隧道之间的耦合管和管间的相互作用强烈修改原来的朗道-齐纳图片。使用平均场描述的管间凝聚波函数,耦合到低能量声子的1D玻色液体的结果进行解释。
英文摘要:
The Landau-Zener model of a quantum mechanical two-level system driven with a linearly time dependent detuning has served over decades as a textbook paradigm of quantum dynamics. In their seminal work [L. D. Landau, Physik. Z. Sowjet. 2, 46 (1932); C. Zener, Proc. Royal Soc. London 137, 696 (1932)], Landau and Zener derived a non-perturbative prediction for the transition probability between two states, which often serves as a reference point for the analysis of more complex systems. A particularly intriguing question is whether that framework can be extended to describe many-body quantum dynamics. Here we report an experimental and theoretical study of a system of ultracold atoms, offering a direct many-body generalization of the Landau-Zener problem. In a system of pairwise tunnel-coupled 1D Bose liquids we show how tuning the correlations of the 1D gases, the tunnel coupling between the tubes and the inter-tube interactions strongly modify the original Landau-Zener picture. The results are explained using a mean-field description of the inter-tube condensate wave-function, coupled to the low-energy phonons of the 1D Bose liquid.