Polynomial supd(2) Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations

Valery P. Karassiov; A. A. Gusev; Sergey I. Vinitsky

doi:10.1117/12.469594

3 June 2002 Polynomial su_pd(2) Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations

Valery P. Karassiov, A. A. Gusev, Sergey I. Vinitsky

Author Affiliations +

Proceedings Volume 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II; (2002) https://doi.org/10.1117/12.469594
Event: Saratov Fall Meeting 2001, 2001, Saratov, Russian Federation

Abstract

We compare exact and SU(2)-cluster approximate calculation schemes to determine dynamics of the second-harmonic generation model using its reformulation in terms of the polynomial Lie algebra su_pd(2). These schemes, based on diagonal representations of the model evolution operator (due to diagonalizing the model Hamiltonian) and realized in the algorithmic forms, enabled us to implement computer experiments exhibiting a satisfactory accuracy of the cluster approximations in a large range of characteristic model parameters.

Citation Download Citation

Valery P. Karassiov, A. A. Gusev, and Sergey I. Vinitsky "Polynomial su_pd(2) Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations", Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002); https://doi.org/10.1117/12.469594

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