双色势定域与安德森局域化定域
Localization by bichromatic potentials versus Anderson localization
摘要:
波在双色势场中的一维传播可以用奥布里-安德烈-哈密尔顿算子来模拟。后者呈现出离域-局域化转变,这在最近的实验中已经观察到使用超冷原子或光。它示出在这里,相反,安德森局域化,这种转变有一个经典的起源,即本地化机制是不是由于量子抑制的经典允许的传输过程。与安德森模型,以及与实验,进行了明确的比较。
英文摘要:
The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-André Hamiltonian. The latter presents a delocalization-localization transition, which has been observed in recent experiments using ultracold atoms or light. It is shown here that, in contrast to Anderson localization, this transition has a classical origin, namely the localization mechanism is not due to a quantum suppression of a classically allowed transport process. Explicit comparisons with the Anderson model, as well as with experiments, are done.
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