We investigate quantum correlations in the ground state of noninteracting Fermi gases of N particles trapped by an external space-dependent harmonic potential, in any dimension. For this purpose we compute one-particle correlations, particle fluctuations, and bipartite entanglement entropies of extended space regions, and study their large-N scaling behaviors. The half-space von Neumann entanglement entropy is computed for any dimension, obtaining S-HS approximate to c(l) N(d-1)/d ln N analogously to homogenous systems, with c(l) = 1/6, 1/(6 root 2), 1/(6 root 6) in one, two, and three dimensions, respectively. We show that the asymptotic large-N relation S-A approximate to pi V-2(A)/3, between the von Neumann entanglement entropy S-A and particle variance V-A of an extended space region A, holds for any subsystem A and in any dimension, analogously to homogeneous noninteracting Fermi gases.
|Autori interni:||VICARI, ETTORE|
|Titolo:||Entanglement and particle correlations of Fermi gases in harmonic traps|
|Anno del prodotto:||2012|
|Digital Object Identifier (DOI):||10.1103/PhysRevA.85.062104|
|Appare nelle tipologie:||1.1 Articolo in rivista|