dc.contributor.author
Kennes, D. M.
dc.contributor.author
Karrasch, Christoph
dc.date.accessioned
2018-06-08T03:30:35Z
dc.date.available
2016-03-22T09:53:19.825Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/15330
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-19518
dc.description.abstract
We discuss a few simple modifications to time-dependent density matrix
renormalization group (DMRG) algorithms which allow to access larger time
scales. We specifically aim at beginners and present practical aspects of how
to implement these modifications within any standard matrix product state
(MPS) based formulation of the method. Most importantly, we show how to
‘combine’ the Schrödinger and Heisenberg time evolutions of arbitrary pure
states |ψ〉|ψ〉 and operators AA in the evaluation of
〈A〉ψ(t)=〈ψ|A(t)|ψ〉〈A〉ψ(t)=〈ψ|A(t)|ψ〉. This includes quantum quenches. The
generalization to (non-)thermal mixed state dynamics
〈A〉ρ(t)=Tr[ρA(t)]〈A〉ρ(t)=Tr[ρA(t)] induced by an initial density matrix ρρ is
straightforward. In the context of linear response (ground state or finite
temperature T>0T>0) correlation functions, one can extend the simulation time
by a factor of two by ‘exploiting time translation invariance’, which is
efficiently implementable within MPS DMRG. We present a simple analytic
argument for why a recently-introduced disentangler succeeds in reducing the
effort of time-dependent simulations at T>0T>0. Finally, we advocate the
python programming language as an elegant option for beginners to set up a
DMRG code.
en
dc.rights.uri
http://www.elsevier.com/about/open-access/green-open-access
dc.subject
Density matrix renormalization group
dc.subject
Hints for beginners
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik
dc.title
Extending the range of real time density matrix renormalization group
simulations
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation
Computer Physics Communications. - 200 (2016), S. 37-43
dc.identifier.sepid
49927
dcterms.bibliographicCitation.doi
10.1016/j.cpc.2015.10.019
dcterms.bibliographicCitation.url
http://dx.doi.org/10.1016/j.cpc.2015.10.019
refubium.affiliation
Physik
de
refubium.affiliation.other
Institut für Theoretische Physik
refubium.mycore.fudocsId
FUDOCS_document_000000024204
refubium.note.author
Bei der pdf-Datei handelt es sich um eine Manuskriptversion des Artikels.
refubium.resourceType.isindependentpub
no
refubium.mycore.derivateId
FUDOCS_derivate_000000006165
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
00104655