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 |
|