Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields
This work presents 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 wi...
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MDPI AG
2024-12-01
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| Online Access: | https://www.mdpi.com/1099-4300/26/12/1094 |
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| _version_ | 1846104728477368320 |
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| author | Youning Li Junfeng Huang Chao Zhang Jun Li |
| author_facet | Youning Li Junfeng Huang Chao Zhang Jun Li |
| author_sort | Youning Li |
| collection | DOAJ |
| description | This work presents 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 characterize parameter regimes and evolution time windows where the decomposition achieves 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 | Article |
| id | doaj-art-a1226b78c94e44d89330b71a9b7504f4 |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-a1226b78c94e44d89330b71a9b7504f42024-12-27T14:25:11ZengMDPI AGEntropy1099-43002024-12-012612109410.3390/e26121094Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse FieldsYouning Li0Junfeng Huang1Chao Zhang2Jun Li3College of Science, China Agriculture University, Beijing 100083, ChinaCollege of Science, China Agriculture University, Beijing 100083, ChinaDepartment of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, ChinaInstitute of Quantum Precision Measurement, State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen 518060, ChinaThis work presents 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 characterize parameter regimes and evolution time windows where the decomposition achieves 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.https://www.mdpi.com/1099-4300/26/12/1094quantum simulationIsing modelperturbative approach |
| spellingShingle | Youning Li Junfeng Huang Chao Zhang Jun Li Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields Entropy quantum simulation Ising model perturbative approach |
| title | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields |
| title_full | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields |
| title_fullStr | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields |
| title_full_unstemmed | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields |
| title_short | Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields |
| title_sort | perturbational decomposition analysis for quantum ising model with weak transverse fields |
| topic | quantum simulation Ising model perturbative approach |
| url | https://www.mdpi.com/1099-4300/26/12/1094 |
| work_keys_str_mv | AT youningli perturbationaldecompositionanalysisforquantumisingmodelwithweaktransversefields AT junfenghuang perturbationaldecompositionanalysisforquantumisingmodelwithweaktransversefields AT chaozhang perturbationaldecompositionanalysisforquantumisingmodelwithweaktransversefields AT junli perturbationaldecompositionanalysisforquantumisingmodelwithweaktransversefields |