Analytical results on quantum correlations of few bosons in a double-well trap

Year: 2015

Authors: Galante M., Mazzarella G., Salasnich L.

Autors Affiliation: Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy; Consorzio Interuniv Sci Fisiche Mat, CNISM, I-35131 Padua, Italy; CNR, INO, Sez Sesto Fiorentino, I-50019 Sesto Fiorentino, Italy

Abstract: We consider a finite number N of interacting bosonic atoms at zero temperature confined in a one-dimensional double-well trap and study this system by using the two-site Bose-Hubbard (BH) Hamiltonian. For systems with N = 2, N = 3, and N = 4 bosons we analytically solve the eigenproblem associated to this Hamiltonian and find its lowest energetic state. We investigate the structure of the ground state by varying the strength of the boson-boson interaction from the strongly attractive regime to the deep repulsive one. We characterize the ground state of the two-site BH Hamiltonian by calculating the Fisher information F, the coherence visibility a, and the entanglement entropy S. For these quantities we provide analytical formulas that we use to study F, a, and S as functions of the interaction between the particles. We discuss the difference existing, in the deep repulsive regime, between the case with an even number of bosons and that with an odd number of particles, both in the structure of the lowest energetic state and in the behavior of the three above ground-state characterizing parameters.


Volume: 67 (1)      Pages from: 273  to: 294

KeyWords: Ultracold bosonic gases; trapped bosonic gases; quantum tunneling; quantum correlations

Citations: 2
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