我们如何从量子力学推导出傅立叶定律？精确主方程分析
How can we derive Fourier's Law from quantum mechanics? Exact master equation analysis
摘要：
在相互作用核的三个假设下，我们从精确的增益-损耗时间卷积量子主方程导出了宏观的傅里叶热传导定律。对于相互作用的二阶，我们证明了前两个假设是长时间限制的自然结果。第三个假设可以由一个家庭的相互作用组成的交换效果。纯交换模型直接导致弱耦合自旋1/2链中的能量扩散。
英文摘要：
We derive the macroscopic Fourier's Law of heat conduction from the exact gain-loss time convolutionless quantum master equation under three assumptions for the interaction kernel. To second order in the interaction, we show that the first two assumptions are natural results of the long time limit. The third assumption can be satisfied by a family of interactions consisting an exchange effect. The pure exchange model directly leads to energy diffusion in a weakly coupled spin-1/2 chain.
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