Vicari, Ettore (2012) Entanglement and particle correlations of Fermi gases in harmonic traps. Physical review. A, Atomic, Molecular, and Optical Physics, 85 . 062104. ISSN 1094-1622
Full text not available from this repository.Abstract
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 = c_l N^(d-1)/d ln N, analogously to homogenous systems, with c_l=1/6, 1/(6\sqrt{2}), 1/(6\sqrt{6}) in one, two and three dimensions respectively. We show that the asymptotic large-N relation S_A\approx \pi^2 V_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.
Item Type: | Article |
---|---|
Additional Information: | Imported from arXiv |
Subjects: | Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 14 Feb 2014 12:38 |
Last Modified: | 14 Feb 2014 12:38 |
URI: | http://eprints.adm.unipi.it/id/eprint/1732 |
Repository staff only actions
View Item |