Beyond mean-field: Condensate coupled with pair excitations
نویسندگان
چکیده
We prove existence results for a system of partial differential equations describing the approximate condensate wavefunction and pair-excitation kernel dilute T = 0 Bose gas in stationary setting, presence trapping potential repulsive pairwise atomic interactions. Notably, Hartree-type equation this contains contributions from non-condensate particles, pair excitation satisfies nonlinear operator equation. The techniques employed include direct variational principle also an iterative procedure constructing solutions.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2023
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0125971