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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.06123 |
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| _version_ | 1866909133588922368 |
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| author | Sasidharan, Soumya Surendran, Naveen |
| author_facet | Sasidharan, Soumya Surendran, Naveen |
| contents | We study the dynamics of a three-dimensional generalization of Kitaev's honeycomb lattice spin model (defined on the hyperhoneycomb lattice) subjected to a harmonic driving of $J_z$, one of the three types of spin-couplings in the Hamiltonian. Using numerical solutions supported by analytical calculations based on a rotating wave approximation, we find that the system responds nonmonotonically to variations in the frequency $ω$ (while keeping the driving amplitude $J$ fixed) and undergoes dynamical freezing, where at specific values of $ω$, it gets almost completely locked in the initial state throughout the evolution. However, this freezing occurs only when a constant bias is present in the driving, i.e., when $J_z = J'+ J\cos{ωt}$, with $J'\neq 0$. Consequently, the bias acts as a switch that triggers the freezing phenomenon. Dynamical freezing has been previously observed in other integrable systems, such as the one-dimensional transverse-field Ising model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Periodically driven three-dimensional Kitaev model Sasidharan, Soumya Surendran, Naveen Strongly Correlated Electrons We study the dynamics of a three-dimensional generalization of Kitaev's honeycomb lattice spin model (defined on the hyperhoneycomb lattice) subjected to a harmonic driving of $J_z$, one of the three types of spin-couplings in the Hamiltonian. Using numerical solutions supported by analytical calculations based on a rotating wave approximation, we find that the system responds nonmonotonically to variations in the frequency $ω$ (while keeping the driving amplitude $J$ fixed) and undergoes dynamical freezing, where at specific values of $ω$, it gets almost completely locked in the initial state throughout the evolution. However, this freezing occurs only when a constant bias is present in the driving, i.e., when $J_z = J'+ J\cos{ωt}$, with $J'\neq 0$. Consequently, the bias acts as a switch that triggers the freezing phenomenon. Dynamical freezing has been previously observed in other integrable systems, such as the one-dimensional transverse-field Ising model. |
| title | Periodically driven three-dimensional Kitaev model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.06123 |