We reconsider the old problem of Brownian motion in a 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.

中文翻译：

---

高温热环境中扩散的量子经典关系分解

我们重新考虑了均质高温热环境中布朗运动的旧问题。半经典理论表明，扩散系数不取决于空间中的热涨落是相关的还是无序的。我们表明，相应的量子分析展示了量子与经典对应关系的显着分解。在Ohmic主方程的框架内，发现了紧密绑定模型的显式结果，在这里我们区分了现场耗散和粘结耗散。击穿是逆温度的二阶，因此，在定量方面，涉及与欧姆近似方案有关的固有歧义。