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dc.identifier.uri http://dx.doi.org/10.15488/4805
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/4848
dc.contributor.author Haegeman, Jutho
dc.contributor.author Draxler, Damian
dc.contributor.author Stojevic, Vid
dc.contributor.author Cirac, J. Ignacio
dc.contributor.author Osborne, Tobias J.
dc.contributor.author Verstraete, Frank
dc.date.accessioned 2019-05-16T13:32:40Z
dc.date.available 2019-05-16T13:32:40Z
dc.date.issued 2017
dc.identifier.citation Haegeman, J. et al.: Quantum Gross-Pitaevskii Equation. In: Scipost Physics 3 (2017), Nr. 1, 006. DOI: https://doi.org/10.21468/SciPostPhys.3.1.006
dc.description.abstract We introduce a non-commutative generalization of the Gross-Pitaevskii equation for one-dimensional quantum gasses and quantum liquids. This generalization is obtained by applying the time-dependent variational principle to the variational manifold of continuous matrix product states. This allows for a full quantum description of many body system - including entanglement and correlations-and thus extends significantly beyond the usual mean-field description of the Gross-Pitaevskii equation, which is known to fail for (quasi) one-dimensional systems. By linearizing around a stationary solution, we furthermore derive an associated generalization of the Bogoliubov - de Gennes equations. This framework is applied to compute the steady state response amplitude to a periodic perturbation of the potential. eng
dc.language.iso eng
dc.publisher Amsterdam : SciPost Foundation
dc.relation.ispartofseries Scipost Physics 3 (2017), Nr. 1
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Bose-Einstein Condensation eng
dc.subject Nonlinear Schrodinger- Equations eng
dc.subject Density - Matrix Renormalisation eng
dc.subject Tonks - Girardeau Gas eng
dc.subject Impenetrable Bosons eng
dc.subject Traps eng
dc.subject Dynamics eng
dc.subject Vortrex eng
dc.subject.ddc 530 | Physik ger
dc.title Quantum Gross-Pitaevskii Equation
dc.type article
dc.type Text
dc.relation.essn 2542-4653
dc.relation.doi https://doi.org/10.21468/SciPostPhys.3.1.006
dc.bibliographicCitation.issue 1
dc.bibliographicCitation.volume 3
dc.bibliographicCitation.firstPage 6
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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