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Time Dependent Density Functional Theory and Strongly Correlated Systems: Insight From Numerical Studies

Verdozzi, Claudio LU (2007) In Preprint without journal information
Abstract
We illustrate the potential of Time Dependent Density Functional Theory (TDDFT) for describing the nonequilibrium behavior of strongly correlated (lattice) models. Starting from an exact time-evolution of the many-body wavefunction, we determine, via reverse engineering, the exact exchange correlation (xc) potential $v_{xc}$ for small Hubbard chains of different lengths and electron fillings and exposed to time-dependent perturbations. We compare some of the exact results to those of adiabatic-like treatments, in order to extract some of the properties that approximate xc potentials should have. Finally, we provide details of work in progress and future directions.
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author
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
in
Preprint without journal information
publisher
Manne Siegbahn Institute
ISSN
0348-7911
language
English
LU publication?
yes
id
8af7495c-5d0c-4324-b413-7558b6ec7415 (old id 921285)
alternative location
http://arxiv.org/abs/0707.2317
date added to LUP
2008-01-10 17:57:22
date last changed
2016-10-11 08:39:57
@article{8af7495c-5d0c-4324-b413-7558b6ec7415,
  abstract     = {We illustrate the potential of Time Dependent Density Functional Theory (TDDFT) for describing the nonequilibrium behavior of strongly correlated (lattice) models. Starting from an exact time-evolution of the many-body wavefunction, we determine, via reverse engineering, the exact exchange correlation (xc) potential $v_{xc}$ for small Hubbard chains of different lengths and electron fillings and exposed to time-dependent perturbations. We compare some of the exact results to those of adiabatic-like treatments, in order to extract some of the properties that approximate xc potentials should have. Finally, we provide details of work in progress and future directions.},
  author       = {Verdozzi, Claudio},
  issn         = {0348-7911},
  language     = {eng},
  publisher    = {Manne Siegbahn Institute},
  series       = {Preprint without journal information},
  title        = {Time Dependent Density Functional Theory and Strongly Correlated Systems: Insight From Numerical Studies},
  year         = {2007},
}