Indirect Measurements and Quantum Trajectories
Speaker(s): Miguel Arturo Ballesteros Montero (National Autonomous University of Mexico)
Time: 16:00-17:00 March 31, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
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, $\rho_n$. We prove that the density matrices $\rho_n$ 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.