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…
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…
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…
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…
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…