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Efficiency of free auxiliary models in describing interacting fermions: From the Kohn-Sham model to the optimal entanglement model

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Autor(es):
Patrick, Kristian ; Herrera, Marcela ; Southall, Jake ; D'Amico, Irene ; Pacho, Jiannis K.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW B; v. 100, n. 7, p. 8-pg., 2019-08-16.
Resumo

Density functional theory maps an interacting Hamiltonian onto the Kohn-Sham Hamiltonian, an explicitly free model with identical local fermion densities. Using the interaction distance, the minimum distance between the ground state of the interacting system and a generic free-fermion state, we quantify the applicability and limitations of the exact Kohn-Sham model in capturing the various properties of the interacting system. As a by-product, this distance determines the optimal free state that reproduces the entanglement properties of the interacting system as faithfully as possible. The parent Hamiltonian of the optimal free state identifies a system that can determine the expectation value of any observable with controlled accuracy. This optimal entanglement model opens up the possibility of extending the systematic applicability of auxiliary free models into the nonperturbative, strongly correlated regimes. (AU)

Processo FAPESP: 14/02778-1 - Evoluções super-adiabáticas e aspectos quânticos em termodinâmica fora do equilíbrio
Beneficiário:Alba Marcela Herrera Trujillo
Modalidade de apoio: Bolsas no Brasil - Doutorado