Quantum analog of Landau-Lifshitz-Gilbert dynamics
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arXiv
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| Main Authors: | , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910765469925376 |
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| author | Liu, Yuefei Miranda, Ivan P. Johnson, Lee Bergman, Anders Delin, Anna Thonig, Danny Pereiro, Manuel Eriksson, Olle Mousolou, Vahid Azimi Sjöqvist, Erik |
| author_facet | Liu, Yuefei Miranda, Ivan P. Johnson, Lee Bergman, Anders Delin, Anna Thonig, Danny Pereiro, Manuel Eriksson, Olle Mousolou, Vahid Azimi Sjöqvist, Erik |
| contents | The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an essential role for describing the dynamics of magnetization in solids. While a quantum analog of the LL dynamics has been proposed in [Phys. Rev. Lett. 110, 147201 (2013)], the corresponding quantum version of LLG remains unknown. Here, we propose such a quantum LLG equation that inherently conserves purity of the quantum state. We examine the quantum LLG dynamics of a dimer consisting of two interacting spin-1/2 particles. Our analysis reveals that, in the case of ferromagnetic coupling, the evolution of initially uncorrelated spins mirrors the classical LLG dynamics. However, in the antiferromagnetic scenario, we observe pronounced deviations from classical behavior, underscoring the unique dynamics of becoming a spinless state, which is non-locally correlated. Moreover, when considering spins that are initially entangled, our study uncovers an unusual form of revival-type quantum correlation dynamics, which differs significantly from what is typically seen in open quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09255 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum analog of Landau-Lifshitz-Gilbert dynamics Liu, Yuefei Miranda, Ivan P. Johnson, Lee Bergman, Anders Delin, Anna Thonig, Danny Pereiro, Manuel Eriksson, Olle Mousolou, Vahid Azimi Sjöqvist, Erik Quantum Physics The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an essential role for describing the dynamics of magnetization in solids. While a quantum analog of the LL dynamics has been proposed in [Phys. Rev. Lett. 110, 147201 (2013)], the corresponding quantum version of LLG remains unknown. Here, we propose such a quantum LLG equation that inherently conserves purity of the quantum state. We examine the quantum LLG dynamics of a dimer consisting of two interacting spin-1/2 particles. Our analysis reveals that, in the case of ferromagnetic coupling, the evolution of initially uncorrelated spins mirrors the classical LLG dynamics. However, in the antiferromagnetic scenario, we observe pronounced deviations from classical behavior, underscoring the unique dynamics of becoming a spinless state, which is non-locally correlated. Moreover, when considering spins that are initially entangled, our study uncovers an unusual form of revival-type quantum correlation dynamics, which differs significantly from what is typically seen in open quantum systems. |
| title | Quantum analog of Landau-Lifshitz-Gilbert dynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.09255 |