Multimagnon quantum many-body scars from tensor operators
We construct a family of three-body spin-1/2 Hamiltonians with a superextensive set of infinitely long-lived multimagnon states. A magnon in each such state carries either quasimomentum zero or fixed p_{0}≠0, and energy Ω. These multimagnon states provide an archetypal example of quantum many-body s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.043006 |
| _version_ | 1797210682684342272 |
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| author | Long-Hin Tang Nicholas O'Dea Anushya Chandran |
| author_facet | Long-Hin Tang Nicholas O'Dea Anushya Chandran |
| author_sort | Long-Hin Tang |
| collection | DOAJ |
| description | We construct a family of three-body spin-1/2 Hamiltonians with a superextensive set of infinitely long-lived multimagnon states. A magnon in each such state carries either quasimomentum zero or fixed p_{0}≠0, and energy Ω. These multimagnon states provide an archetypal example of quantum many-body scars: they are eigenstates at finite-energy density that violate the eigenstate thermalization hypothesis, and lead to persistent oscillations in local observables in certain quench experiments. On the technical side, we demonstrate the systematic derivation of scarred Hamiltonians that satisfy a restricted spectrum-generating algebra using an operator basis built out of irreducible tensor operators. This operator basis can be constructed for any spin, spatial dimension, or continuous non-Abelian symmetry that generates the scarred subspace. |
| first_indexed | 2024-04-24T10:14:29Z |
| format | Article |
| id | doaj.art-e09dff41a47f4bc99f98c3a84a1a5c06 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:29Z |
| publishDate | 2022-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e09dff41a47f4bc99f98c3a84a1a5c062024-04-12T17:25:02ZengAmerican Physical SocietyPhysical Review Research2643-15642022-10-014404300610.1103/PhysRevResearch.4.043006Multimagnon quantum many-body scars from tensor operatorsLong-Hin TangNicholas O'DeaAnushya ChandranWe construct a family of three-body spin-1/2 Hamiltonians with a superextensive set of infinitely long-lived multimagnon states. A magnon in each such state carries either quasimomentum zero or fixed p_{0}≠0, and energy Ω. These multimagnon states provide an archetypal example of quantum many-body scars: they are eigenstates at finite-energy density that violate the eigenstate thermalization hypothesis, and lead to persistent oscillations in local observables in certain quench experiments. On the technical side, we demonstrate the systematic derivation of scarred Hamiltonians that satisfy a restricted spectrum-generating algebra using an operator basis built out of irreducible tensor operators. This operator basis can be constructed for any spin, spatial dimension, or continuous non-Abelian symmetry that generates the scarred subspace.http://doi.org/10.1103/PhysRevResearch.4.043006 |
| spellingShingle | Long-Hin Tang Nicholas O'Dea Anushya Chandran Multimagnon quantum many-body scars from tensor operators Physical Review Research |
| title | Multimagnon quantum many-body scars from tensor operators |
| title_full | Multimagnon quantum many-body scars from tensor operators |
| title_fullStr | Multimagnon quantum many-body scars from tensor operators |
| title_full_unstemmed | Multimagnon quantum many-body scars from tensor operators |
| title_short | Multimagnon quantum many-body scars from tensor operators |
| title_sort | multimagnon quantum many body scars from tensor operators |
| url | http://doi.org/10.1103/PhysRevResearch.4.043006 |
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