非绝热波包动力学：k空间公式
Nonadiabatic wavepacket dynamics: k-space formulation
摘要：
本文在k空间中以一种易于数值处理的形式给出了均匀电场作用下晶体中波包随时间的演化。的动力学是由单独的方程的波形在k空间中的运动和基本布洛赫样状态的演变。对一维紧束缚模型进行了数值研究，观察到了Bloch振荡和Zener隧穿。在弱场下，波包中心的长寿命布洛赫振荡伴随着其空间扩展的振荡。这些分析的k-空间表达式的扩展有贡献的量子度量和Berry连接的布洛赫状态。我们发现，当发生相当大的价差振荡时，它们主要是由于后一项。
英文摘要：
The time evolution of wavepackets in crystals in the presence of a homogeneous electric field is formulated in k-space in a numerically tractable form. The dynamics is governed by separate equations for the motion of the waveform in k-space and for the evolution of the underlying Bloch-like states. A one-dimensional tight-binding model is studied numerically, and both Bloch oscillations and Zener tunneling are observed. The long-lived Bloch oscillations of the wavepacket center under weak fields are accompanied by oscillations in its spatial spread. These are analyzed in terms of a k-space expression for the spread having contributions from both the quantum metric and the Berry connection of the Bloch states. We find that when sizeable spread oscillations do occur, they are mostly due to the latter term.
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