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Re­sea­rch Se­mi­nar Com­plex Quan­tum Sys­tems: Mi­guel Bal­les­te­ros (UN­AM), In­di­rect Mea­su­re­ments and Quan­tum Tra­jec­to­ries

Ort: TBA

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.