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This research presents a novel method using a generalized Matrix-Product Ansatz to construct exact eigenstates in quantum many-body systems, even when Hamiltonians lack the frustration-free property typically required for such solutions. By leveraging local error cancellation inspired by stochastic processes like the asymmetric simple exclusion process, the study provides explicit examples across one and two spatial dimensions that advance our understanding of non-equilibrium steady states. The work offers significant theoretical value to researchers in quantum computing who seek robust ansätze for simulating complex many-body dynamics without relying on idealized system constraints.
Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz
arXiv:2605.03020v2 Announce Type: replace Abstract: We construct exact eigenstates of quantum many-body systems with Hamiltonians that are not frustration-free in matrix product form, based on a local error cancellation ansatz motivated by the Derrida-Evans-Hakim-Pasquier method for finding the stationary state of the asymmetric simple exclusion process. We demonstrate the approach with explicit examples in both one and two spatial dimensions.
Abstract:We construct exact eigenstates of quantum many-body systems with Hamiltonians that are not frustration-free in matrix product form, based on a local error cancellation ansatz motivated by the Derrida-Evans-Hakim-Pasquier method for finding the stationary state of the asymmetric simple exclusion process. We demonstrate the approach with explicit examples in both one and two spatial dimensions.
Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)
arXiv:2605.03020 [quant-ph]
(or arXiv:2605.03020v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2605.03020 Focus to learn more arXiv-issued DOI via DataCite
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