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The Landau-Zener model of a quantum mechanical two-level system driven with alinearly time dependent detuning has served over decades as a textbook paradigmof 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 Zenerderived a non-perturbative prediction for the transition probability betweentwo states, which often serves as a reference point for the analysis of morecomplex systems. A particularly intriguing question is whether that frameworkcan be extended to describe many-body quantum dynamics. Here we report anexperimental and theoretical study of a system of ultracold atoms, offering adirect many-body generalization of the Landau-Zener problem. In a system ofpairwise tunnel-coupled 1D Bose liquids we show how tuning the correlations ofthe 1D gases, the tunnel coupling between the tubes and the inter-tubeinteractions strongly modify the original Landau-Zener picture. The results areexplained using a mean-field description of the inter-tube condensatewave-function, coupled to the low-energy phonons of the 1D Bose liquid.

Many-body Landau-Zener dynamics in coupled 1D Bose liquids