Exact Valence-Bond Solid Scars in the Square-Lattice Heisenberg Model
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910742496673792 |
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| author | Dai, David D. |
| author_facet | Dai, David D. |
| contents | We show that the spin-s square-lattice Heisenberg model has exact many-body scars. These scars are simple valence-bond solids with exactly zero energy, and they exist in even-by-even systems and ladders of width 2. Ladders have additional scars corresponding to injecting one or two magnons on top of a parent valence-bond solid scar. These scars have a remarkably simple physical origin based only the angular momentum algebra and cancellations from spin-antialignment within a valence bond. Our comprehensive exact diagonalization calculations suggest that our valence-bond solids exhaust all exact eigenstates in the Heisenberg model except for few-magnon states near the top of the spectrum. Our scars are interesting because they are not part of a tower, have area-law entanglement, break translation symmetry, and exist for Heisenberg models of all spin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08874 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Valence-Bond Solid Scars in the Square-Lattice Heisenberg Model Dai, David D. Strongly Correlated Electrons Quantum Gases Statistical Mechanics Quantum Physics We show that the spin-s square-lattice Heisenberg model has exact many-body scars. These scars are simple valence-bond solids with exactly zero energy, and they exist in even-by-even systems and ladders of width 2. Ladders have additional scars corresponding to injecting one or two magnons on top of a parent valence-bond solid scar. These scars have a remarkably simple physical origin based only the angular momentum algebra and cancellations from spin-antialignment within a valence bond. Our comprehensive exact diagonalization calculations suggest that our valence-bond solids exhaust all exact eigenstates in the Heisenberg model except for few-magnon states near the top of the spectrum. Our scars are interesting because they are not part of a tower, have area-law entanglement, break translation symmetry, and exist for Heisenberg models of all spin. |
| title | Exact Valence-Bond Solid Scars in the Square-Lattice Heisenberg Model |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2412.08874 |