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math-ph2026
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…
math-ph2026
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…
math-ph2026
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}…