Time Dependent Density Functional Theory and Strongly Correlated Systems: Insight From Numerical Studies
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/921285
- author
- Verdozzi, Claudio LU
- organization
- publishing date
- 2007
- 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- unpublished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
- 2016-04-04 14:09:43
- date last changed
- 2018-11-21 21:18:38
@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}}, url = {{http://arxiv.org/abs/0707.2317}}, year = {{2007}}, }