Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models
Eigenstate thermalization hypothesis (ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. The recent experiment on 51-atom Rydberg quantum simulator by Bernien et al. [Nature (London) 551, 579 (2017)NATUAS0028-083610.1038/nature24622] an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033201 |
| _version_ | 1797210918150471680 |
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| author | Bhaskar Mukherjee Zi Cai W. Vincent Liu |
| author_facet | Bhaskar Mukherjee Zi Cai W. Vincent Liu |
| author_sort | Bhaskar Mukherjee |
| collection | DOAJ |
| description | Eigenstate thermalization hypothesis (ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. The recent experiment on 51-atom Rydberg quantum simulator by Bernien et al. [Nature (London) 551, 579 (2017)NATUAS0028-083610.1038/nature24622] and subsequent theoretical analysis have shown that hardcore kinetic constraint can lead to weak ergodicity breaking. In this work, we demonstrate, using 1d spin-1 PXP models, that miscellaneous type of ergodicity can be realized by adjusting the hardcore constraints between different components of nearest-neighbor spins. This includes ETH violation due to emergent shattering of Hilbert space into exponentially many subsectors of various sizes, a novel form of nonintegrability with an extensive number of local conserved quantities and strong ergodicity. We analyze these different forms of ergodicity and study their impact on the nonequilibrium dynamics of a Z_{2} initial state. We use forward-scattering approximation to understand the amount of Z_{2} oscillation present in these models. Our work shows that not only ergodicity breaking but an appropriate choice of constraints can lead to restoration of ergodicity as well. |
| first_indexed | 2024-04-24T10:18:13Z |
| format | Article |
| id | doaj.art-3e57a7057d8842cd817b0d94b0e470ed |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:13Z |
| publishDate | 2021-08-01 |
| publisher | American Physical Society |
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| series | Physical Review Research |
| spelling | doaj.art-3e57a7057d8842cd817b0d94b0e470ed2024-04-12T17:13:27ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303320110.1103/PhysRevResearch.3.033201Constraint-induced breaking and restoration of ergodicity in spin-1 PXP modelsBhaskar MukherjeeZi CaiW. Vincent LiuEigenstate thermalization hypothesis (ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. The recent experiment on 51-atom Rydberg quantum simulator by Bernien et al. [Nature (London) 551, 579 (2017)NATUAS0028-083610.1038/nature24622] and subsequent theoretical analysis have shown that hardcore kinetic constraint can lead to weak ergodicity breaking. In this work, we demonstrate, using 1d spin-1 PXP models, that miscellaneous type of ergodicity can be realized by adjusting the hardcore constraints between different components of nearest-neighbor spins. This includes ETH violation due to emergent shattering of Hilbert space into exponentially many subsectors of various sizes, a novel form of nonintegrability with an extensive number of local conserved quantities and strong ergodicity. We analyze these different forms of ergodicity and study their impact on the nonequilibrium dynamics of a Z_{2} initial state. We use forward-scattering approximation to understand the amount of Z_{2} oscillation present in these models. Our work shows that not only ergodicity breaking but an appropriate choice of constraints can lead to restoration of ergodicity as well.http://doi.org/10.1103/PhysRevResearch.3.033201 |
| spellingShingle | Bhaskar Mukherjee Zi Cai W. Vincent Liu Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models Physical Review Research |
| title | Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models |
| title_full | Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models |
| title_fullStr | Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models |
| title_full_unstemmed | Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models |
| title_short | Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models |
| title_sort | constraint induced breaking and restoration of ergodicity in spin 1 pxp models |
| url | http://doi.org/10.1103/PhysRevResearch.3.033201 |
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