期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 39, 期 20, 页码 5957-5964出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/39/20/021
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We propose a high order numerical decomposition of exponentials of Hermitian operators in terms of a product of exponentials of simple terms, following an idea which has been pioneered by M Suzuki, implementing it for complex coefficients. We outline a convenient fourth-order formula which can be written compactly for an arbitrary number of non-commuting terms in the Hamiltonian and which is superior to the optimal formula with real coefficients, both in complexity and accuracy. We show asymptotic stability of our method for a sufficiently small time step and demonstrate its efficiency and accuracy in different numerical models.
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