Eigenstate thermalization hypothesis in quantum dimer models
We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-ip dynamics, the Hilbert space, which consists of highly constrained close-packed dimer configuration...
| Main Authors: | , |
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/45683/ |
| _version_ | 1848797173637971968 |
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| author | Lan, Zhihao Powell, Stephen |
| author_facet | Lan, Zhihao Powell, Stephen |
| author_sort | Lan, Zhihao |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-ip dynamics, the Hilbert space, which consists of highly constrained close-packed dimer configurations, splits into sectors characterized by topological invariants. We show that this has important consequences for ETH: We find that ETH is clearly satisfied only when each topological sector is treated separately, and only for moderate ratios of the potential and kinetic terms in the Hamiltonian. By contrast, when the spectrum is treated as a whole, ETH breaks down on the square lattice, and apparently also on the triangular lattice. These results demonstrate that quantum dimer models have interesting thermalization dynamics that has not previously been studied. |
| first_indexed | 2025-11-14T19:59:40Z |
| format | Article |
| id | nottingham-45683 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:59:40Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-456832020-05-04T19:07:48Z https://eprints.nottingham.ac.uk/45683/ Eigenstate thermalization hypothesis in quantum dimer models Lan, Zhihao Powell, Stephen We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-ip dynamics, the Hilbert space, which consists of highly constrained close-packed dimer configurations, splits into sectors characterized by topological invariants. We show that this has important consequences for ETH: We find that ETH is clearly satisfied only when each topological sector is treated separately, and only for moderate ratios of the potential and kinetic terms in the Hamiltonian. By contrast, when the spectrum is treated as a whole, ETH breaks down on the square lattice, and apparently also on the triangular lattice. These results demonstrate that quantum dimer models have interesting thermalization dynamics that has not previously been studied. American Physical Society 2017-09-21 Article PeerReviewed Lan, Zhihao and Powell, Stephen (2017) Eigenstate thermalization hypothesis in quantum dimer models. Physical Review B, 96 (11). p. 115140. ISSN 2469-9969 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.115140 doi:10.1103/PhysRevB.96.115140 doi:10.1103/PhysRevB.96.115140 |
| spellingShingle | Lan, Zhihao Powell, Stephen Eigenstate thermalization hypothesis in quantum dimer models |
| title | Eigenstate thermalization hypothesis in quantum dimer models |
| title_full | Eigenstate thermalization hypothesis in quantum dimer models |
| title_fullStr | Eigenstate thermalization hypothesis in quantum dimer models |
| title_full_unstemmed | Eigenstate thermalization hypothesis in quantum dimer models |
| title_short | Eigenstate thermalization hypothesis in quantum dimer models |
| title_sort | eigenstate thermalization hypothesis in quantum dimer models |
| url | https://eprints.nottingham.ac.uk/45683/ https://eprints.nottingham.ac.uk/45683/ https://eprints.nottingham.ac.uk/45683/ |