耦合量子谐振子链的热输运
Heat transport along a chain of coupled quantum harmonic oscillators
摘要：
研究了耦合量子谐振子链在不同温度下与两个热库接触时的热输运性质。我们的方法是基于使用的演化方程的密度算子，这是一个典型的量子化的经典Fokker-Planck-Kramers方程。我们建立了协方差的演化方程，并得到了定态协方差，由此我们确定了封闭形式的热传导时，粒子间的相互作用是小的。在热力学极限下，电导是有限的，这意味着无限的热导率。
英文摘要：
We study the heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density operator which is a canonical quantization of the classical Fokker-Planck-Kramers equation. We set up the evolution equation for the covariances and obtain the stationary covariances at the stationary states from which we determine the thermal conductance in closed form when the interparticle interaction is small. The conductance is finite in the thermodynamic limit implying an infinite thermal conductivity.
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