Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914139896545280 |
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| author | Kunimi, Masaya Kato, Yusuke Katsura, Hosho |
| author_facet | Kunimi, Masaya Kato, Yusuke Katsura, Hosho |
| contents | We develop a systematic method for constructing asymptotic quantum many-body scar (AQMBS) states. While AQMBS states are closely related to quantum many-body scar (QMBS) states, they exhibit key differences. Unlike QMBS states, AQMBS states are not energy eigenstates of the Hamiltonian, making their construction more challenging. We demonstrate that, under appropriate conditions, AQMBS states can be obtained as low-lying gapless excited states of a parent Hamiltonian, which has a QMBS state as its ground state. Furthermore, our formalism reveals a connection between QMBS and supersymmetric (SUSY) quantum mechanics. The QMBS state can be interpreted as a SUSY-unbroken ground state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics Kunimi, Masaya Kato, Yusuke Katsura, Hosho Statistical Mechanics Quantum Gases Strongly Correlated Electrons Quantum Physics We develop a systematic method for constructing asymptotic quantum many-body scar (AQMBS) states. While AQMBS states are closely related to quantum many-body scar (QMBS) states, they exhibit key differences. Unlike QMBS states, AQMBS states are not energy eigenstates of the Hamiltonian, making their construction more challenging. We demonstrate that, under appropriate conditions, AQMBS states can be obtained as low-lying gapless excited states of a parent Hamiltonian, which has a QMBS state as its ground state. Furthermore, our formalism reveals a connection between QMBS and supersymmetric (SUSY) quantum mechanics. The QMBS state can be interpreted as a SUSY-unbroken ground state. |
| title | Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics |
| topic | Statistical Mechanics Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2505.04853 |