Rate of decoherence for an electron weakly coupled to a phonon gas

被引：4

作者：

Adami, Riccardo ^{[1
]}

Erdos, Laszlo ^{[2
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy

[2] Univ Munich, Math Inst, D-80333 Munich, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2008年 / 132卷 / 02期

关键词：

quantum mechanics; decoherence; phonon field; kinetic regime; weak coupling limit;

D O I：

10.1007/s10955-008-9561-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：301 / 328

页数：28

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