Computational method for multidimensional quantal dynamics of polynomially interacting oscillator systems

We propose a numerical algorithm for computing quantal dynamics, which is tailored for a generic multidimensional model of low-energy dynamics, i.e., polynomially interacting oscillator system. This algorithm evaluates symplectic integrators effectively, by using block tridiagonality of the interact...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2004-07, Vol.70 (1 Pt 2), p.016705-016705, Article 016705
Main Author: Okushima, T
Format: Article
Language:English
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Summary:We propose a numerical algorithm for computing quantal dynamics, which is tailored for a generic multidimensional model of low-energy dynamics, i.e., polynomially interacting oscillator system. This algorithm evaluates symplectic integrators effectively, by using block tridiagonality of the interaction operator, and thus accurately preserves unitarity with time. A practical advantage of this method is that high-order integrators are easily implemented even for time-dependent parameter systems. We demonstrate the accuracy and usefulness by applying it to a phi(4) model.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.70.016705