1 citations · 1 across the 8 of their papers we have counts for
9 papers
Parent Hamiltonians of Ergodic Matrix Product States
Owen Ekblad, Eloy Moreno-Nadales, Eric B. Roon +1
Matrix product states (MPS) are quintessential examples of frustration-free gapped ground states of local interactions called parent Hamiltonians. In this work, we investigate pare…
Periodicity in Ergodic Quantum Processes
Owen Ekblad, Jeffrey Schenker
We study the periodic properties of sequences of quantum channels sampled from an ergodic stochastic process satisfying a natural irreducibility condition. We relate these periodic…
Disordered Ground States of Ergodic Quantum Spin Systems
Eric B. Roon, Jeffrey H. Schenker
In this letter, we fill a hole in the existing literature about disordered quantum spin systems generated by a random local interaction $\{\mathfrak{h}(Z)\}_{Z\Subset \mathbb{Z}^ν}…
Asymptotic Behavior of Random Time-Inhomogeneous Markovian Quantum Dynamics
Lubashan Pathirana, Jeffrey Schenker
We study the asymptotic behavior of continuous-time, time-inhomogeneous Markovian quantum dynamics in a stationary random environment. Under mild faithfulness and eventually positi…
Finitely Correlated States Driven by Topological Dynamics
Eric B. Roon, Jeffrey H. Schenker
Let be a standard probability space and let be a measure preserving ergodic homeomorphism. Let be a -algebra with a unit and let $\ma…
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…