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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Patrick, Kristian [1] ; Herrera, Marcela [2] ; Southall, Jake [1] ; D'Amico, Irene [3] ; Pacho, Jiannis K. [1]
Total Authors: 5
[1] Univ Leeds, Sch Phys & Astron, Leeds LS2 9JT, W Yorkshire - England
[2] Univ Fed ABC, Ctr Ciencias Nat & Humanas, Ave Estados 5001, BR-09210580 Santo Andre, SP - Brazil
[3] Univ York, Dept Phys, York YO10 5DD, N Yorkshire - England
Total Affiliations: 3
Document type: Journal article
Source: Physical Review B; v. 100, n. 7 AUG 16 2019.
Web of Science Citations: 0

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)

FAPESP's process: 14/02778-1 - Super-adiabatic evolution and quantum aspects of out-of-equilibrium thermodynamics
Grantee:Alba Marcela Herrera Trujillo
Support type: Scholarships in Brazil - Doctorate