纳米尺度系统的热化与退相干动力学
Dynamics of thermalization and decoherence of a nanoscale system
摘要：
我们研究了非微扰耦合到完全量子力学浴的纳米系统的退相干和热化动力学。该系统是在整个系统的纯态下从平衡态制备的。我们提出了一个随机矩阵模型，并分析表明，在系统接近平衡态的过程中，存在两个鲁棒的时间区域--初始高斯衰减，随后是指数尾，这与小相互作用晶格上的数值结果一致[S. Genway，A.F.何和D.K.K. Lee，Phys. Rev. Lett. 105，260402（2010）]。此外，系统按照本征态热化假设向吉布斯系综衰减。
英文摘要：
We study the decoherence and thermalization dynamics of a nanoscale system coupled nonperturbatively to a fully quantum-mechanical bath. The system is prepared out of equilibrium in a pure state of the complete system. We propose a random matrix model and show analytically that there are two robust temporal regimes in the approach of the system to equilibrium --- an initial Gaussian decay followed by an exponential tail, consistent with numerical results on small interacting lattices [S. Genway, A.F. Ho and D.K.K. Lee, Phys. Rev. Lett. 105, 260402 (2010)]. Furthermore, the system decays towards a Gibbs ensemble in accordance with the eigenstate thermalization hypothesis.
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