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Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
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Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians
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We elucidate the deep connection between the PXP model, which is a standard model of quantum many-body scars, and the AKLT Hamiltonian. Using the framework of embedded Hamiltonians, we establish the connection between the PXP Hamiltonian and the AKLT Hamiltonian, which clarifies the reason why the PXP Hamiltonian has nonthermal energy eigenstates similar to the AKLT state. Through this analysis, we find that the presence of such nonthermal energy eigenstates reflects the symmetry in the AKLT Hamiltonian.
Forward citations
Cited by 4 Pith papers
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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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Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
Rigorous proof that random half-chain initial states in a low-density free-fermion model thermalize, with local particle counts matching equilibrium at long times with high probability.
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Exact Quantum Many-Body Scars by a generalized Matrix-Product Ansatz
An error-cancellation matrix-product ansatz constructs exact zero-energy many-body scar eigenstates in non-frustration-free 1D and 2D spin Hamiltonians.
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The $S=\frac{1}{2}$ XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities
The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.
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