论文标题
在高温热环境中扩散的量子到古典对应的分解
Breakdown of quantum-to-classical correspondence for diffusion in high temperature thermal environment
论文作者
论文摘要
我们重新考虑了均质高温热环境中布朗运动的旧问题。半古老理论意味着扩散系数不取决于热波动是否在空间还是无序中相关。我们表明，相应的量子分析表现出量子到古典对应关系的显着崩溃。在欧姆主方程的框架内，发现了一个紧密的结合模型的明确结果，在该框架的框架内，我们区分了现场和键盘散射器。分解是在反度的二阶，因此在定量方面涉及与欧姆近似方案相关的固有歧义。
We re-consider the old problem of Brownian motion in homogeneous high-temperature thermal environment. The semiclassical theory implies that the diffusion coefficient does not depend on whether the thermal fluctuations are correlated in space or disordered. We show that the corresponding quantum analysis exhibits a remarkable breakdown of quantum-to-classical correspondence. Explicit results are found for a tight binding model, within the framework of an Ohmic master equation, where we distinguish between on-site and on-bond dissipators. The breakdown is second-order in the inverse temperature, and therefore, on the quantitative side, involves an inherent ambiguity that is related to the Ohmic approximation scheme.
