Hilbert space fragmentation and subspace scar time-crystallinity in driven homogeneous central-spin models
| dc.contributor.author | Kumar, Abhishek | en |
| dc.contributor.author | Frantzeskakis, Rafail | en |
| dc.contributor.author | Barnes, Edwin | en |
| dc.date.accessioned | 2025-02-18T13:18:32Z | en |
| dc.date.available | 2025-02-18T13:18:32Z | en |
| dc.date.issued | 2025-01-03 | en |
| dc.description.abstract | We study the stroboscopic nonequilibrium quantum dynamics of periodically kicked Hamiltonians involving homogeneous central-spin interactions. The system exhibits a strong fragmentation of Hilbert space into four-dimensional Floquet-Krylov subspaces, which oscillate between two disjointed two-dimensional subspaces and thus break the discrete time-translation symmetry of the system. Our analytical and numerical analyses reveal that fully polarized states of the satellite spins exhibit fragmentations that are stable against perturbations and have high overlap with Floquet eigenstates of atypically low bipartite entanglement entropy (scar states). Motivated by the breaking of discrete time translation symmetry by Floquet-Krylov subspaces, we introduce a novel type of time crystal that we call a "subspace time crystal."We present evidence of robust time-crystalline behavior in the form of a period doubling of the total magnetization of fully polarized satellite spin states that persists over long timescales. We compute nonequilibrium phase diagrams with respect to a magnetic field, coupling terms, and pulse error for various interaction types, including Heisenberg, Ising, XXZ, and XX. We also discuss possible experimental realizations of scar time crystals in color center, quantum dot, and rare-earth ion platforms. | en |
| dc.description.version | Accepted version | en |
| dc.format.extent | 18 page(s) | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier | ARTN 014302 (Article number) | en |
| dc.identifier.doi | https://doi.org/10.1103/PhysRevB.111.014302 | en |
| dc.identifier.eissn | 2469-9969 | en |
| dc.identifier.issn | 2469-9950 | en |
| dc.identifier.issue | 1 | en |
| dc.identifier.uri | https://hdl.handle.net/10919/124632 | en |
| dc.identifier.volume | 111 | en |
| dc.language.iso | en | en |
| dc.publisher | American Physical Society | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.title | Hilbert space fragmentation and subspace scar time-crystallinity in driven homogeneous central-spin models | en |
| dc.title.serial | Physical Review B | en |
| dc.type | Article - Refereed | en |
| dc.type.dcmitype | Text | en |
| dc.type.other | Article | en |
| dc.type.other | Journal | en |
| dcterms.dateAccepted | 2024-12-11 | en |
| pubs.organisational-group | Virginia Tech | en |
| pubs.organisational-group | Virginia Tech/Science | en |
| pubs.organisational-group | Virginia Tech/Science/Physics | en |
| pubs.organisational-group | Virginia Tech/All T&R Faculty | en |
| pubs.organisational-group | Virginia Tech/Science/COS T&R Faculty | en |