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Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters

Puig von Friesen, Marc LU ; Verdozzi, Claudio LU and Almbladh, Carl-Olof LU (2009) In Physical Review Letters 103(17).
Abstract
We study the nonequilibrium dynamics of small, strongly correlated clusters, described by a Hubbard Hamiltonian, by propagating in time the Kadanoff-Baym equations within the Hartree-Fock, second Born, GW, and T-matrix approximations. We compare the results to exact numerical solutions. We find that the time-dependent T matrix is overall superior to the other approximations, and is in good agreement with the exact results in the low-density regime. In the long time limit, the many-body approximations attain an unphysical steady state which we attribute to the implicit inclusion of infinite-order diagrams in a few-body system.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
103
issue
17
publisher
American Physical Society
external identifiers
  • wos:000271164500044
  • scopus:70350430175
ISSN
1079-7114
DOI
10.1103/PhysRevLett.103.176404
language
English
LU publication?
yes
id
172eb089-5eaa-4dba-a382-a1184d1dfacc (old id 1505318)
date added to LUP
2009-11-24 13:08:01
date last changed
2017-10-08 03:37:27
@article{172eb089-5eaa-4dba-a382-a1184d1dfacc,
  abstract     = {We study the nonequilibrium dynamics of small, strongly correlated clusters, described by a Hubbard Hamiltonian, by propagating in time the Kadanoff-Baym equations within the Hartree-Fock, second Born, GW, and T-matrix approximations. We compare the results to exact numerical solutions. We find that the time-dependent T matrix is overall superior to the other approximations, and is in good agreement with the exact results in the low-density regime. In the long time limit, the many-body approximations attain an unphysical steady state which we attribute to the implicit inclusion of infinite-order diagrams in a few-body system.},
  articleno    = {176404},
  author       = {Puig von Friesen, Marc and Verdozzi, Claudio and Almbladh, Carl-Olof},
  issn         = {1079-7114},
  language     = {eng},
  number       = {17},
  publisher    = {American Physical Society},
  series       = {Physical Review Letters},
  title        = {Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters},
  url          = {http://dx.doi.org/10.1103/PhysRevLett.103.176404},
  volume       = {103},
  year         = {2009},
}