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Beyond mean-field: Condensate coupled with pair excitations.
- Source :
-
Journal of Mathematical Physics . Aug2023, Vol. 64 Issue 8, p1-23. 23p. - Publication Year :
- 2023
-
Abstract
- We prove existence results for a system of partial differential equations describing the approximate condensate wavefunction and pair-excitation kernel of a dilute T = 0 Bose gas in the stationary setting, in the presence of a trapping potential and repulsive pairwise atomic interactions. Notably, the Hartree-type equation for the condensate in this system contains contributions from non-condensate particles, and the pair excitation kernel satisfies a nonlinear operator equation. The techniques employed include a direct variational principle and also an iterative procedure for constructing solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 64
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 171316967
- Full Text :
- https://doi.org/10.1063/5.0125971