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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}…
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…