漂移量子扩散与爱因斯坦关系II
Quantum Diffusion with Drift and the Einstein Relation II
摘要:
这篇论文是“量子扩散与漂移和爱因斯坦关系I”(联合提交给arXiv)的同伴。它的目的是描述和证明在“漂移的量子扩散和爱因斯坦关系I”中使用的某些技术结果,但没有在那里得到证明。这两篇论文都关注耦合到热库阵列的受驱动量子粒子的运动的长时间特性(扩散、漂移)。本文的主要技术成果是适用于小驱动的渐近微扰理论$(1)$和粒子观测量的时间相关关联函数的构造$(2)$。
英文摘要:
This paper is a companion to 'Quantum Diffusion with Drift and the Einstein Relation I' (jointly submitted to arXiv). Its purpose is to describe and prove a certain number of technical results used in 'Quantum Diffusion with Drift and the Einstein Relation I', but not proven there. Both papers concern long-time properties (diffusion, drift) of the motion of a driven quantum particle coupled to an array of thermal reservoirs. The main technical results derived in the present paper are $(1)$ an asymptotic perturbation theory applicable for small driving, and, $(2)$ the construction of time-dependent correlation functions of particle observables.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。