摘要翻译:
我们研究了嵌入在各种环境中的驱动量子模型的量子Jarzynski关系。我们推广了Mukamel[Phys.Rev.Lett90,170604(2003)]对封闭量子系统的证明。这样,我们就可以证明Jarzynski关系对于具有微正则耦合的二部系统也成立。此外,我们还证明了在整个过程中相互作用能保持不变的假设下,即使对于正则耦合,该关系也是有效的。对于开放量子系统,在高初始温度下,直到逆温度的三阶,也是如此。我们的分析研究得到了一个特殊模型系统的数值研究的补充。
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英文标题:
《Model Studies on the Quantum Jarzynski Relation》
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作者:
Jens Teifel, G\"unter Mahler
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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 quantum Jarzynski relation for driven quantum models embedded in various environments. We do so by generalizing a proof presented by Mukamel [Phys. Rev. Lett 90, 170604 (2003)] for closed quantum systems. In this way, we are able to prove that the Jarzynski relation also holds for a bipartite system with microcanonical coupling. Furthermore, we show that, under the assumption that the interaction energy remains constant during the whole process, the relation is valid even for canonical coupling. The same follows for open quantum systems at high initial temperatures up to third order of the inverse temperature. Our analytical study is complemented by a numerical investigation of a special model system.
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PDF链接:
https://arxiv.org/pdf/708.1435


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