Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries
We consider a 2D quantum spin model with ring-exchange interaction that has subsystem symmetries associated to conserved magnetization along rows and columns of a square lattice, which implies the conservation of the global dipole moment. In a certain regime, the model is non-integrable, but viol...
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| Format: | Article |
| Language: | English |
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SciPost
2022-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.13.4.098 |
| _version_ | 1798029515080859648 |
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| author | Alexey Khudorozhkov, Apoorv Tiwari, Claudio Chamon, Titus Neupert |
| author_facet | Alexey Khudorozhkov, Apoorv Tiwari, Claudio Chamon, Titus Neupert |
| author_sort | Alexey Khudorozhkov, Apoorv Tiwari, Claudio Chamon, Titus Neupert |
| collection | DOAJ |
| description | We consider a 2D quantum spin model with ring-exchange interaction that has
subsystem symmetries associated to conserved magnetization along rows and
columns of a square lattice, which implies the conservation of the global
dipole moment. In a certain regime, the model is non-integrable, but violates
the eigenstate thermalization hypothesis through an extensive Hilbert space
fragmentation, including an exponential number of inert subsectors with trivial
dynamics, arising from kinetic constraints. While subsystem symmetries are
quite restrictive for the dynamics, we show that they alone cannot account for
such a number of inert states, even with infinite-range interactions. We
present a procedure for constructing shielding structures that can separate and
disentangle dynamically active regions from each other. Notably, subsystem
symmetries allow the thickness of the shields to be dependent only on the
interaction range rather than on the size of the active regions, unlike in the
case of generic dipole-conserving systems. |
| first_indexed | 2024-04-11T19:26:20Z |
| format | Article |
| id | doaj.art-75cfaffa95d94358a26a217a10d406eb |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-11T19:26:20Z |
| publishDate | 2022-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-75cfaffa95d94358a26a217a10d406eb2022-12-22T04:07:08ZengSciPostSciPost Physics2542-46532022-10-0113409810.21468/SciPostPhys.13.4.098Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetriesAlexey Khudorozhkov, Apoorv Tiwari, Claudio Chamon, Titus NeupertWe consider a 2D quantum spin model with ring-exchange interaction that has subsystem symmetries associated to conserved magnetization along rows and columns of a square lattice, which implies the conservation of the global dipole moment. In a certain regime, the model is non-integrable, but violates the eigenstate thermalization hypothesis through an extensive Hilbert space fragmentation, including an exponential number of inert subsectors with trivial dynamics, arising from kinetic constraints. While subsystem symmetries are quite restrictive for the dynamics, we show that they alone cannot account for such a number of inert states, even with infinite-range interactions. We present a procedure for constructing shielding structures that can separate and disentangle dynamically active regions from each other. Notably, subsystem symmetries allow the thickness of the shields to be dependent only on the interaction range rather than on the size of the active regions, unlike in the case of generic dipole-conserving systems.https://scipost.org/SciPostPhys.13.4.098 |
| spellingShingle | Alexey Khudorozhkov, Apoorv Tiwari, Claudio Chamon, Titus Neupert Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries SciPost Physics |
| title | Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries |
| title_full | Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries |
| title_fullStr | Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries |
| title_full_unstemmed | Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries |
| title_short | Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries |
| title_sort | hilbert space fragmentation in a 2d quantum spin system with subsystem symmetries |
| url | https://scipost.org/SciPostPhys.13.4.098 |
| work_keys_str_mv | AT alexeykhudorozhkovapoorvtiwariclaudiochamontitusneupert hilbertspacefragmentationina2dquantumspinsystemwithsubsystemsymmetries |