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Quenched large deviations of Birkhoff sums along random quantum measurements
Renaud Raquépas, Jeffrey Schenker
We prove a quenched version of the large deviation principle for Birkhoff-like sums along a sequence of random quantum measurements driven by an ergodic process. We apply the resul…
Dynamic One Photon Localization in a Discrete Model of Quantum Optics
Joseph Kraisler, Jeffrey Schenker, John C. Schotland
We consider a recently proposed model for the propagation of one-photon states in a random medium of two-level atoms. We demonstrate the existence of Anderson localization of singl…
Reducibility Theory and Ergodic Theorems for Ergodic Quantum Processes
Owen Ekblad, Jeffrey Schenker
We develop a Perron-Frobenius type theory for products of random quantum channels acting on finite-dimensional matrix algebras sampled from a stationary and ergodic stochastic proc…
Asymptotic Purification of Quantum Trajectories under Random Generalized Measurements
Owen Ekblad, Eloy Moreno-Nadales, Lubashan Pathirana +1
We develop a general framework to study quantum trajectories resulting from repeated random measurements subject to stationary noise, and generalize results of Kümmerer and Maassen…