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- W3005569903 abstract "Based on a generalization of Hohenberg-Kohn's theorem, we propose a ground state theory for bosonic quantum systems. Since it involves the one-particle reduced density matrix $ensuremath{gamma}$ as a variable but still recovers quantum correlations in an exact way it is particularly well suited for the accurate description of Bose-Einstein condensates. As a proof of principle we study the building block of optical lattices. The solution of the underlying $v$-representability problem is found and its peculiar form identifies the constrained search formalism as the ideal starting point for constructing accurate functional approximations: The exact functionals $mathcal{F}[ensuremath{gamma}]$ for this $N$-boson Hubbard dimer and general Bogoliubov-approximated systems are determined. For Bose-Einstein condensates with ${N}_{mathrm{BEC}}ensuremath{approx}N$ condensed bosons, the respective gradient forces are found to diverge, ${ensuremath{nabla}}_{ensuremath{gamma}}mathcal{F}ensuremath{propto}1/sqrt{1ensuremath{-}{N}_{mathrm{BEC}}/N}$, providing a comprehensive explanation for the absence of complete condensation in nature." @default.
- W3005569903 created "2020-02-24" @default.
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- W3005569903 date "2020-05-07" @default.
- W3005569903 modified "2023-10-14" @default.
- W3005569903 title "Reduced Density Matrix Functional Theory for Bosons" @default.
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- W3005569903 doi "https://doi.org/10.1103/physrevlett.124.180603" @default.
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