倾斜晶格上的玻色-爱因斯坦凝聚体：相干、混沌和亚扩散动力学
Bose-Einstein condensates on tilted lattices: coherent, chaotic and subdiffusive dynamics
摘要：
在离散平均场近似下，研究了倾斜光晶格中（准）一维相互作用原子玻色-爱因斯坦凝聚体的动力学，离散非线性薛定谔方程。如果静态场是变化的，则系统显示出过多的动力学现象。在强场极限，我们证明了存在（几乎）非扩散状态，保持本地化的晶格区域最初填充，并显示相干布洛赫振荡与分数复苏的动量空间（所谓的量子地毯）。随着磁场的减小，动力学变得不规则，但仍局限于位形空间。对于更弱的领域，我们发现次扩散动力学与波包宽度扩展为$t^{1/4}$。
英文摘要：
The dynamics of a (quasi)one-dimensional interacting atomic Bose-Einstein condensate in a tilted optical lattice is studied in a discrete mean-field approximation, i.e., in terms of the discrete nonlinear Schrödinger equation. If the static field is varied the system shows a plethora of dynamical phenomena. In the strong field limit we demonstrate the existence of (almost) non-spreading states which remain localized on the lattice region populated initially and show coherent Bloch oscillations with fractional revivals in the momentum space (so called quantum carpets). With decreasing field, the dynamics becomes irregular, however, still confined in configuration space. For even weaker fields we find sub-diffusive dynamics with a wave-packet width spreading as $t^{1/4}$.
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