Non-equilibrium dynamics of ultra cold lattice gases with inter-site interactions

最近在光学晶格中偶极和里德伯修饰气体的实验为模拟晶格间相互作用模型开辟了有希望的前景。能量守恒，有限的带宽，和网站间的相互作用的组合，预计将导致大量的新的非平衡现象，只有现场相互作用的系统中没有。即使是中等的位间相互作用预计将导致许多粒子的簇的形成，这可能会阻碍或完全排除在晶格中的运动。我们将详细研究这种运动，并评估其对正在进行的实验的影响。此外，掺杂在绝缘体中的holon（即空位置）的动力学可能与单个粒子的动力学截然不同。我们将分析这种动力学，包括holon诱导的粒子喷射，动态保持体和边holon，和相互作用诱导的晶格重构。我们还将研究Haldane绝缘体相的绝热实现，这是一种具有非局部弦序的相，构成了扩展的玻色-哈伯德模型中最相关的新特征之一。我们的结果预计将影响正在进行的实验，我们将保持密切合作。

Recent experiments on dipolar and Rydberg-dressed gases in optical lattices open promising perspectives for the simulation of lattice models with inter-site interactions. The combination of energy conservation, finite band-width, and inter-site interactions is expected to lead to a wealth of new non-equilibrium phenomena absent in systems with only on-site interactions. Even moderate inter-site interactions are expected to lead to the formation of clusters of many particles, which may hinder or totally preclude the motion in the lattice. We will study this motion in detail, and evaluate its consequences for on-going experiments. Moreover, the dynamics of holons, i.e. empty sites, doped within an insulator may become strikingly different to that of individual particles. We will analyze this dynamics, including holon-induced particle ejection, dynamically-maintained bulk- and edge-holons, and interaction-induced lattice reconfiguration. We will as well investigate the adiabatic realization of the Haldane-insulator phase, a phase with a non-local string-order that constitutes one the most relevant novel features in extended Bose-Hubbard models. Our results are expected to impact on on-going experiments, which whom we will maintain a close collaboration.