Dynamic spectral aspects of interparticle correlation
Abstract
Time-dependent quantities are calculated in the linear response limit for a correlated one dimensional model atom driven by an external quadrupolar time-dependent field. Besides the analysis of the time-evolving energy change in the correlated two-particle system, and orthogonality of initial and final states, Mehler's formula is applied in order to derive a point-wise decomposition of the time-dependent one-matrix in terms of time-dependent occupation numbers and time-dependent orthonormal, natural orbitals. Based on such exact spectral decomposition on the time domain, R\'enyi's entropy is also investigated. Considering the structure of the exact time-dependent one-matrix, an independent-particle model is defined from it which contains exact information on the single-particle probability density and probability current. The resulting noninteracting auxiliary state is used to construct an effective potential and discuss its applicability.
Cite
@article{arxiv.1501.07140,
title = {Dynamic spectral aspects of interparticle correlation},
author = {I. Nagy and I. Aldazabal and M. L. Glasser},
journal= {arXiv preprint arXiv:1501.07140},
year = {2015}
}
Comments
16 pages, 2 figures