数学研究所
调和分析及其应用研究中心
学术报告
偏微分方程研讨班
Speaker: Miguel Arturo Ballesteros Montero（墨西哥国立自治大学）
Inviter: 阮国兴 副研究员
Language: English
Title: Indirect Measurements and Quantum Trajectories
Time&Venue: 2025年4月18日（星期五）9:00-10:00& 思源楼S813
Abstract:We consider a quantum dot in a semiconductor device P and a sequence of probes sent to interact with it. After each probe interacts with P, a projective measurement is performed on the probe. This process generates a discrete stochastic process of density matrices, ρn. We prove that the density matrices ρn purify as n tends to infinity. Our results provide a mathematical framework to understand phenomena analogous to those explored in the experiments of Haroche and Wineland, which were awarded the Nobel Prize in Physics in 2012.Coauthors:Martin Fraas (UC Davis), Jürg Fröhlich (ETH Zürich, Switzerland), Baptiste Schubnel (Centre Suisse d’Électronique et de Microtechnique SA (CSEM)).