开量子布朗运动
The Open Quantum Brownian Motion
摘要：
利用随机游动上的量子并行性作为原始种子，我们引入了新的量子随机过程，即开量子布朗运动。他们描述了量子步行者的行为-内部自由度充当随机陀螺仪-与一系列探针相互作用。这些过程也可以被看作是开放量子随机游动的标度极限，我们沿着三条不同的路线发展这种方法：量子轨迹，量子动力学映射，量子随机微分方程。我们还提出了一个研究的最简单的情况下，与一个两级系统作为内部陀螺仪，说明在这些过程中的工作弹道和扩散行为之间的相互作用。
英文摘要：
Using quantum parallelism on random walks as original seed, we introduce new quantum stochastic processes, the open quantum Brownian motions. They describe the behaviors of quantum walkers -- with internal degrees of freedom which serve as random gyroscopes -- interacting with series of probes. These processes may also be viewed as the scaling limit of open quantum random walks and we develop this approach along three different lines: quantum trajectory, quantum dynamical map, and quantum stochastic differential equation. We also present a study of the simplest case, with a two level system as internal gyroscope, illustrating the interplay between ballistic and diffusive behaviors at work in these processes.
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。
