摘要翻译:
我们研究了突然耦合到热辐射场中的原子的时间演化。作为原子-电磁场系统的简化模型,我们在新近引入的缀饰坐标和缀饰态框架下,使用一个由一个谐振子与一个标量场线性耦合而成的系统。我们证明了占位数算符的热期望值的时间演化完全依赖于场量子的发射和吸收的概率。特别地,我们给出了与原子有关的数算符的时间演化,即原子保持在第一激发态的几率,以及发射频率为$\omega_k$的场量子从第一激发态衰变的几率。研究还表明,与原子的初始状态无关,它与热辐射场在一个逆耦合常数量级的时间尺度上发生热作用。
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英文标题:
《The time evolution of an atom coupled to a thermal radiation field》
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作者:
G. Flores-Hidalgo
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We study the time evolution of an atom suddenly coupled to a thermal radiation field. As a simplified model of the atom-electromagnetic field system we use a system composed by a harmonic oscillator linearly coupled to a scalar field in the framework of the recently introduced dressed coordinates and dressed states. We show that the time evolution of the thermal expectation values for the occupation number operators depend exclusively on the probabilities associated with the emission and absorption of field quanta. In particular, the time evolution of the number operator associated with the atom is given in terms of the probability of remaining in the first excited state and the decay probabilities from this state by emission of field quanta of frequencies $\omega_k$. Also, it is showed that independent of the initial state of the atom, it thermalizes with the thermal radiation field in a time scale of the order of the inverse coupling constant.
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PDF链接:
https://arxiv.org/pdf/705.1028