Dynamical Nonlinear Optic Coefficients from the Symmetrized Density Matrix Renormalization Group Method

1996/05/15 by Swapan K. Pati, Pati, Swapan K., S. Ramasesha +7
Chemistry · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Molecular spectroscopy and chirality #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9605098

4 pages revtex; 4 eps figures available upon request. Submitted to Phys. Rev. Letters

arxiv created 1996/05/15 · openalex publication_date 1996/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the symmetrized density matrix renormalization group (SDMRG) method to compute the dynamic nonlinear optic coefficients for long chains. By computing correction vectors in the appropriate symmetry subspace we obtain the dynamic polarizabilities, α_ij(ω), and third-order polarizabilities γ_ijkl(ω,ω,ω) of the Hubbard and "U-V" chains in an all-trans polyacetylene geometry, with and without dimerization. We rationalize the behavior of α and γ on the basis of the low-lying excitation gaps in the system. This is the first study of the dynamics of a fermionic system within the DMRG framework.

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