An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field
泛函分析
2009-10-31 v4 数学物理
math.MP
谱理论
原子物理
量子物理
摘要
We prove an adiabatic theorem for the ground state of the Dicke model in a slowly rotating magnetic field and show that for weak electron-photon coupling, the adiabatic time scale is close to the time scale of the corresponding two level system--without the quantized radiation field. There is a correction to this time scale which is the Lamb shift of the model. The photon field affect the rate of approach to the adiabatic limit through a logarithmic correction originating from an infrared singularity characteristic of QED.
引用
@article{arxiv.math/9803153,
title = {An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field},
author = {J. E. Avron and A. Elgart},
journal= {arXiv preprint arXiv:math/9803153},
year = {2009}
}
备注
Revised version, 15 pages