Hartree-Bose mean-field approximation for the interacting boson model (IBM-3)

- th / 9 70 50 20 v 2 9 D ec 1 99 7 A Hartree – Bose Mean - Field Approximation for the Interacting Boson Model ( IBM - 3 )

A Hartree–Bose mean-field approximation for the IBM-3 is presented. A Hartree–Bose transformation from spherical to deformed bosons with chargedependent parameters is proposed which allows bosonic pair correlations and includes higher angular momentum bosons. The formalism contains previously proposed IBM-2 and IBM-3 intrinsic states as particular limits. Typeset using REVTEX 1 With the advent ...

Boson-fermion Model beyond Mean-field Approximation

A model of hybridized bosons and fermions is studied beyond the mean field approximation. The divergent boson self-energy at zero temperature makes the Cooper pairing of fermions impossible. The frequency and momentum dependence of the self-energy and the condensation temperature T c of initially localized bosons are calculated analytically. The value of the boson condensation temperature T c i...

Comment on “ Boson - fermion model beyond the mean - field approximation ”

In a recent paper [Alexandrov A S 1996 J. Phys.: Condens. Matter 8 6923–32; cond-mat/9603111], it has been suggested that there is no Cooper pairing in boson-fermion models of superconductivity. We show that this conjecture is based on an inconsistent approximation that violates an exact identity. Quite generally, the divergence of the fermion t-matrix (the Thouless criterion) is accompanied by...

The Interacting Boson Approximation Model and Applications

Mean Field and Collisional Dynamics of Interacting Fermion-Boson systems: the Jaynes-Cummings Model

A general time-dependent projection technique is applied to the study of the dynamics of quantum correlations in a system consisting of interacting fermionic and bosonic subsystems, described by the Jaynes-Cummings Hamiltonian. The amplitude modulation of the Rabi oscillations which occur for a strong, coherent initial bosonic field is obtained from the spin intrinsic depolarization resulting f...