Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866915343988948992 |
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| author | Swain, Nyayabanta Tang, Ho-Kin Foo, Darryl Chuan Wei Khor, Brian J. J. Lemarié, Gabriel Assaad, Fakher F. Sengupta, Pinaki Adam, Shaffique |
| author_facet | Swain, Nyayabanta Tang, Ho-Kin Foo, Darryl Chuan Wei Khor, Brian J. J. Lemarié, Gabriel Assaad, Fakher F. Sengupta, Pinaki Adam, Shaffique |
| contents | We present a computational framework to identify Hamiltonians of interacting quantum many-body systems that host non-ergodic excited states. We combine quantum Monte Carlo simulations with the recently proposed eigenstate-to-Hamiltonian construction, which maps the ground state of a specified parent Hamiltonian to a single non-ergodic excited state of a new derived Hamiltonian. This engineered Hamiltonian contains non-trivial, systematically-obtained, and emergent features that are responsible for its non-ergodic properties. We demonstrate this approach by applying it to quantum many-body scar states where we discover a previously unreported family of Hamiltonians with spatially oscillating spin exchange couplings that host scar-like properties, including revivals in the quantum dynamics, and towers in the inverse participation ratio; and to many-body localization, where we find a two-dimensional Hamiltonian with correlated disorder that exhibits non-ergodic scaling of the participation entropy and inverse participation ratios of order unity. The method can be applied to other known ground states to discover new quantum many-body systems with non-ergodic excited states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_08587 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo Swain, Nyayabanta Tang, Ho-Kin Foo, Darryl Chuan Wei Khor, Brian J. J. Lemarié, Gabriel Assaad, Fakher F. Sengupta, Pinaki Adam, Shaffique Strongly Correlated Electrons Disordered Systems and Neural Networks We present a computational framework to identify Hamiltonians of interacting quantum many-body systems that host non-ergodic excited states. We combine quantum Monte Carlo simulations with the recently proposed eigenstate-to-Hamiltonian construction, which maps the ground state of a specified parent Hamiltonian to a single non-ergodic excited state of a new derived Hamiltonian. This engineered Hamiltonian contains non-trivial, systematically-obtained, and emergent features that are responsible for its non-ergodic properties. We demonstrate this approach by applying it to quantum many-body scar states where we discover a previously unreported family of Hamiltonians with spatially oscillating spin exchange couplings that host scar-like properties, including revivals in the quantum dynamics, and towers in the inverse participation ratio; and to many-body localization, where we find a two-dimensional Hamiltonian with correlated disorder that exhibits non-ergodic scaling of the participation entropy and inverse participation ratios of order unity. The method can be applied to other known ground states to discover new quantum many-body systems with non-ergodic excited states. |
| title | Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2106.08587 |