Perturbational Decomposition Analysis for Quantum Ising Model with Weak Transverse Fields.

Youning Li, Junfeng Huang, Chao Zhang, Jun Li

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Article in Entropy (Basel, Switzerland), 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

Authors and funding

4 authors.

Youning LiCollege of Science, China Agriculture University, Beijing 100083, China.ORCID 0000-0003-1380-2312

Junfeng HuangCollege of Science, China Agriculture University, Beijing 100083, China.

Chao ZhangDepartment of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China.ORCID 0000-0002-2093-7496

Jun LiInstitute of Quantum Precision Measurement, State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen 518060, China.

Funding

Guangdong Basic and Applied Basic Research Foundation Grant No. 2021B1515020070National Natural Science Foundation of China Grant No. 12005295National Natural Science Foundation of China Grants No. 12122506Shenzhen Science and Technology Program Grant No. RCYX20200714114522109

6 · The paper itself

Abstract

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.

Indexed as

Ising modelperturbative approachquantum simulation

Identifiers

PMID39766723

DOI10.3390/e26121094

PMCPMC11675516

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