Rigorous Derivation of the Gross-Pitaevskii Equation
Journal Article
·
· Physical Review Letters
- Institute of Mathematics, University of Munich, Theresienstrasse 39, D-80333 Munich (Germany)
- Department of Mathematics, UC Davis, One Shields Avenue, Davis, California 95616 (United States)
- Department of Mathematics, Harvard University, One Oxford Street, Massachusetts 02138 (United States)
The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schroedinger equation with a short-scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short-scale correlation structure in the condensate.
- OSTI ID:
- 20861629
- Journal Information:
- Physical Review Letters, Vol. 98, Issue 4; Other Information: DOI: 10.1103/PhysRevLett.98.040404; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
Similar Records
Generation of matter-wave solitons of the Gross-Pitaevskii equation with a time-dependent complicated potential
Exact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates
Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
Journal Article
·
Mon Aug 15 00:00:00 EDT 2011
· Physical Review. A
·
OSTI ID:20861629
+2 more
Exact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates
Journal Article
·
Tue Jun 15 00:00:00 EDT 2010
· Physical Review. A
·
OSTI ID:20861629
+3 more
Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
Journal Article
·
Fri Oct 01 00:00:00 EDT 2004
· Physical Review. A
·
OSTI ID:20861629