Download statistics - Document (COUNTER):

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

Repository version

To cite the version in the repository, please use this identifier: https://doi.org/10.15488/4805

Selected time period:

year: 
month: 

Sum total of downloads: 33




Thumbnail
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.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2017
Appears in Collections:Fakultät für Mathematik und Physik

distribution of downloads over the selected time period:

downloads by country:

pos. country downloads
total perc.
1 image of flag of Germany Germany 26 78.79%
2 image of flag of United States United States 5 15.15%
3 image of flag of Finland Finland 1 3.03%
4 image of flag of China China 1 3.03%

Further download figures and rankings:


Hinweis

Zur Erhebung der Downloadstatistiken kommen entsprechend dem „COUNTER Code of Practice for e-Resources“ international anerkannte Regeln und Normen zur Anwendung. COUNTER ist eine internationale Non-Profit-Organisation, in der Bibliotheksverbände, Datenbankanbieter und Verlage gemeinsam an Standards zur Erhebung, Speicherung und Verarbeitung von Nutzungsdaten elektronischer Ressourcen arbeiten, welche so Objektivität und Vergleichbarkeit gewährleisten sollen. Es werden hierbei ausschließlich Zugriffe auf die entsprechenden Volltexte ausgewertet, keine Aufrufe der Website an sich.

Search the repository


Browse