3 citations · 3 across the 4 of their papers we have counts for
5 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…
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…
On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
Eric B. Roon, Robert Sims
We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dyn…
Ergodic Quantum Processes on Finite von Neumann Algebras
Brent Nelson, Eric B. Roon
Let be a tracial von Neumann algebra with a separable predual and let be a probability space. A bounded positive random linear operator on is a…