Characterizing the many-body localization transition by the dynamics of diagonal entropy
Based on the dynamics of diagonal entropy (DE), we provide a nonequilibrium method to study the properties of many-body localization (MBL) transition including the critical point and the universality class. By systematically studying the dynamical behaviors of DE in the fully explored Heisenberg spi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013163 |
| _version_ | 1797211569736646656 |
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| author | Zheng-Hang Sun Jian Cui Heng Fan |
| author_facet | Zheng-Hang Sun Jian Cui Heng Fan |
| author_sort | Zheng-Hang Sun |
| collection | DOAJ |
| description | Based on the dynamics of diagonal entropy (DE), we provide a nonequilibrium method to study the properties of many-body localization (MBL) transition including the critical point and the universality class. By systematically studying the dynamical behaviors of DE in the fully explored Heisenberg spin chain with quasiperiodic field, we demonstrate the DE method can efficiently detect the transition point W_{c} between the thermal and MBL phase. We further use the method to study the MBL transition in the isotropic XX-ladder model, showing W_{c}∼8.05. We also widely explore the XX-ladder model with various parameters. Our results indicate that the MBL transition in the Heisenberg model and the XX-ladder model belong to distinct universality classes according to the obvious difference between the scaling exponents. These results can be tested in ongoing quantum simulation experiments with larger qubit numbers, since the diagonal elements of the density matrix directly yielding the DE can be easily obtained by repeatedly running single-shot measurements. |
| first_indexed | 2024-04-24T10:28:35Z |
| format | Article |
| id | doaj.art-da50215a07d94c539d5e09a910d37e9e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:28:35Z |
| publishDate | 2020-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-da50215a07d94c539d5e09a910d37e9e2024-04-12T16:49:57ZengAmerican Physical SocietyPhysical Review Research2643-15642020-02-012101316310.1103/PhysRevResearch.2.013163Characterizing the many-body localization transition by the dynamics of diagonal entropyZheng-Hang SunJian CuiHeng FanBased on the dynamics of diagonal entropy (DE), we provide a nonequilibrium method to study the properties of many-body localization (MBL) transition including the critical point and the universality class. By systematically studying the dynamical behaviors of DE in the fully explored Heisenberg spin chain with quasiperiodic field, we demonstrate the DE method can efficiently detect the transition point W_{c} between the thermal and MBL phase. We further use the method to study the MBL transition in the isotropic XX-ladder model, showing W_{c}∼8.05. We also widely explore the XX-ladder model with various parameters. Our results indicate that the MBL transition in the Heisenberg model and the XX-ladder model belong to distinct universality classes according to the obvious difference between the scaling exponents. These results can be tested in ongoing quantum simulation experiments with larger qubit numbers, since the diagonal elements of the density matrix directly yielding the DE can be easily obtained by repeatedly running single-shot measurements.http://doi.org/10.1103/PhysRevResearch.2.013163 |
| spellingShingle | Zheng-Hang Sun Jian Cui Heng Fan Characterizing the many-body localization transition by the dynamics of diagonal entropy Physical Review Research |
| title | Characterizing the many-body localization transition by the dynamics of diagonal entropy |
| title_full | Characterizing the many-body localization transition by the dynamics of diagonal entropy |
| title_fullStr | Characterizing the many-body localization transition by the dynamics of diagonal entropy |
| title_full_unstemmed | Characterizing the many-body localization transition by the dynamics of diagonal entropy |
| title_short | Characterizing the many-body localization transition by the dynamics of diagonal entropy |
| title_sort | characterizing the many body localization transition by the dynamics of diagonal entropy |
| url | http://doi.org/10.1103/PhysRevResearch.2.013163 |
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