与声子气体弱耦合电子的退相干率
Rate of decoherence for an electron weakly coupled to a phonon gas
摘要：
研究了电子与声子气体弱耦合的动力学。电子的初始状态是两个空间局域的远离彼此移动的凸起的叠加，声子处于热态。我们研究了系统在动力学机制下的动力学行为，发现时间演化使得电子密度矩阵的非对角项衰减，破坏了两个凸点之间的干涉。我们表明，这样的阻尼效应是指数的时间，和相关的衰减率是成比例的总散射截面的电子-声子相互作用。
英文摘要：
We study the dynamics of an electron weakly coupled to a phonon gas. The initial state of the electron is the superposition of two spatially localized distant bumps moving towards each other, and the phonons are in a thermal state. We investigate the dynamics of the system in the kinetic regime and show that the time evolution makes the non-diagonal terms of the density matrix of the electron decay, destroying the interference between the two bumps. We show that such a damping effect is exponential in time, and the related decay rate is proportional to the total scattering cross section of the electron-phonon interaction.
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