摘要翻译:
我们研究了当相互作用哈密顿量重复作用于一个由两个谐振子组成的系统在某一特征时间间隔内产生量子关联的过程。当振子频率相等时,非耦合部分的初始Maxwell-Boltzmann分布通过一系列瞬态Maxwell-Boltzmann分布演化为一个新的平衡Maxwell-Boltzmann分布。进一步,我们讨论了为什么当两个振子频率不相等时达到的平衡不是热平衡。所有的计算都是精确的,结果是通过一个迭代过程得到的,没有使用摄动理论。
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英文标题:
《Relaxation Phenomena in a System of Two Harmonic Oscillators》
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作者:
Antonia Chimonidou and E.C.G. Sudarshan
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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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 process by which quantum correlations are created when an interaction Hamiltonian is repeatedly applied to a system of two harmonic oscillators for some characteristic time interval. We show that, for the case where the oscillator frequencies are equal, the initial Maxwell-Boltzmann distributions of the uncoupled parts evolve to a new equilibrium Maxwell-Boltzmann distribution through a series of transient Maxwell-Boltzmann distributions. Further, we discuss why the equilibrium reached when the two oscillator frequencies are unequal, is not a thermal one. All the calculations are exact and the results are obtained through an iterative process, without using perturbation theory.
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PDF链接:
https://arxiv.org/pdf/705.2794


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