Phys. Rev. Lett. 84, 2290–2293 (2000)Fast Time-Evolution Method for Dynamical SystemsSee Also: Erratum Received 19 October 1999; published in the issue dated 13 March 2000 A fast time-evolution method is developed for systems for which the dynamical behavior can be reduced to the eigenvector/eigenvalue problem. The method does not use the eigenvectors/eigenvalues themselves and is based on a polynominal expansion of the formal operator solution in the eigenfrequency domain. It is complementary to the standard time-integration approaches and allows one to calculate or simulate the state of a system at arbitrary times. The time evolution of, e.g., classical harmonic atomic systems and quantum systems described by linear Hamiltonians can be treated by this method. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.2290
DOI:
10.1103/PhysRevLett.84.2290
PACS:
02.60.Cb, 02.70.Ns, 63.90.+t
See AlsoErratum: Y. L. Loh, S. N. Taraskin, and S. R. Elliott, Erratum: Fast Time-Evolution Method for Dynamical Systems [Phys. Rev. Lett. 84, 2290 (2000)], Phys. Rev. Lett. 84, 5028 (2000). |
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