Mean Field Derivation of DNLS from the Bose–Hubbard Model
نویسندگان
چکیده
Abstract We prove that the flow of discrete nonlinear Schrödinger equation (DNLS) is mean field limit quantum dynamics Bose–Hubbard model for N interacting particles. In particular, we show Wick symbol annihilation operators evolved in Heisenberg picture converges, as becomes large, to solution DNLS. A quantitative $$L^p$$ L p -estimate, any $$p \ge 1$$ ≥ 1 , obtained with a linear dependence on time due Gaussian measure initial data coherent states.
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2021
ISSN: ['1424-0661', '1424-0637']
DOI: https://doi.org/10.1007/s00023-021-01112-6