Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1505318
- author
- Puig von Friesen, Marc LU ; Verdozzi, Claudio LU and Almbladh, Carl-Olof LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review Letters
- volume
- 103
- issue
- 17
- article number
- 176404
- 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
- 2016-04-01 12:14:21
- date last changed
- 2022-04-29 02:34:22
@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.}}, 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}}, doi = {{10.1103/PhysRevLett.103.176404}}, volume = {{103}}, year = {{2009}}, }