相互作用对一维准周期势中原子物质波扩散的影响
Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasi-periodic potentials
摘要：
我们研究了双色晶格中玻色子的超冷原子气体的行为，其中较弱的晶格被用作无序源。我们数值求解了一个离散的平均场方程，该方程通过包含原子之间的相互作用，推广了准周期势中粒子的一维Aubry-Andrè模型。我们比较了公度格和非公度格的结果。我们调查的波包的初始形状的作用，以及相互作用，即自陷和离域的两个竞争效应之间的相互作用。我们的计算表明，如果冷凝物最初占据一个单一的晶格位置，相互作用气体的动力学是占主导地位的自陷在很宽的参数范围内，即使是弱相互作用。相反，如果扩散从高斯波包开始，自陷被显著抑制，并且相互作用对局域化的破坏更容易观察到。
英文摘要：
We study the behaviour of an ultracold atomic gas of bosons in a bichromatic lattice, where the weaker lattice is used as a source of disorder. We numerically solve a discretized mean-field equation, which generalizes the one-dimensional Aubry-Andrè model for particles in a quasi-periodic potential by including the interaction between atoms. We compare the results for commensurate and incommensurate lattices. We investigate the role of the initial shape of the wavepacket as well as the interplay between two competing effects of the interaction, namely self-trapping and delocalization. Our calculations show that, if the condensate initially occupies a single lattice site, the dynamics of the interacting gas is dominated by self-trapping in a wide range of parameters, even for weak interaction. Conversely, if the diffusion starts from a Gaussian wavepacket, self-trapping is significantly suppressed and the destruction of localization by interaction is more easily observable.
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