Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz
Sascha Gehrmann, Fabian H.L. Essler
TL;DR
This paper introduces a method to construct exact eigenstates of complex quantum many-body systems using a generalized matrix product approach, extending previous techniques to non frustration-free Hamiltonians in 1D and 2D.
Contribution
It develops a novel local error cancellation ansatz for matrix product states, enabling exact solutions in systems previously considered intractable.
Findings
Explicit construction of eigenstates in 1D and 2D systems.
Extension of matrix product methods to non frustration-free Hamiltonians.
Application of the Derrida-Evans-Hakim-Pasquier approach to quantum systems.
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.
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