Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913623239032832 |
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| author | Li, Youning Huang, Junfeng Zhang, Chao Li, Jun |
| author_facet | Li, Youning Huang, Junfeng Zhang, Chao Li, Jun |
| contents | This work presented a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the expansion, our approach is particularly effective in systems with moderate longitudinal fields and weak to moderate transverse fields relative to the coupling strength. Through systematic numerical exploration, we characterized parameter regimes and evolution time windows where the decomposition achieved measurable improvements over conventional Trotter decomposition methods. The developed perturbational approach and its characterized parameter space may provide practical guidance for choosing appropriate simulation strategies in different parameter regimes of the one-dimensional Ising model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields Li, Youning Huang, Junfeng Zhang, Chao Li, Jun Quantum Physics This work presented a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the expansion, our approach is particularly effective in systems with moderate longitudinal fields and weak to moderate transverse fields relative to the coupling strength. Through systematic numerical exploration, we characterized parameter regimes and evolution time windows where the decomposition achieved measurable improvements over conventional Trotter decomposition methods. The developed perturbational approach and its characterized parameter space may provide practical guidance for choosing appropriate simulation strategies in different parameter regimes of the one-dimensional Ising model. |
| title | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.03800 |