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arXiv 1009.0165cond-mat.other
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含缺陷紧束缚晶格中的Bloch振荡

Bloch oscillations in tight-binding lattices with defects

Stefano Longhi

摘要:

紧束缚晶格中的缺陷通常会破坏布洛赫振荡(BO)的发生和波包的周期性自成像,因为缺乏等间距的Wannier-Stark阶梯谱。在这里,它示出的晶格中的局部和扩展的缺陷可以被设计为是透明的BO。这种晶格是由无缺陷晶格通过通常用于超对称量子力学的缠绕算符技术合成的。合成晶格的能谱不同于无缺陷晶格的Wannier-Stark阶梯,因为阶梯中缺少共振对,从而确保BO的持久性。

英文摘要:

Defects in tight-binding lattices generally destroy the onset of Bloch oscillations (BOs) and the periodic self-imaging of the wave packet due to the lack of an equally-spaced Wannier-Stark ladder spectrum. Here it is shown that localized and extended defects in the lattice can be engineered to be transparent for BOs. Such lattices are synthesized from the defect-free lattice by the technique of intertwining operators generally employed in supersymmetric quantum mechanics. The energy spectrum of the synthesized lattices differs from the Wannier-Stark ladder of the defect-free lattice because of the missing of pairs of resonances in the ladder, thus ensuring the persistence of BOs.

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