Exact eigenstates of non-frustration-free quantum many-body systems are constructed via a local error cancellation matrix-product ansatz.
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Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.
Non-Hermitian spin relaxation stabilizes Granovskii-Zhedanov scar states in the perturbed XYZ chain, producing a nonequilibrium steady state with finite fidelity to the scar.
Transverse spin helices in XXZ chains with single-ion anisotropy decay slowly for chosen wave numbers and can be stabilized by easy-axis exchange anisotropy, per iTEBD simulations and spin-wave estimates.
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Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz
Exact eigenstates of non-frustration-free quantum many-body systems are constructed via a local error cancellation matrix-product ansatz.
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Stabilization of Granovskii-Zhedanov scars of the XYZ quantum spin chain via non-Hermitian spin relaxation
Non-Hermitian spin relaxation stabilizes Granovskii-Zhedanov scar states in the perturbed XYZ chain, producing a nonequilibrium steady state with finite fidelity to the scar.