Dynamics of the open BCS model

Emmanuel Buffet, Philippe A. Martin

Fabio Bagarello

In this paper we show how the perturbative procedure known as stochastic limit may be useful in the analysis of the open BCS model discussed by Buffet and Martin as a spin system interacting with a fermionic reservoir. In particular we show how the same values of the critical temperature and of the order parameters can be found with a significantly simpler approach.

I. A. Bernadskii, R. A. Minlos

J. Bauer, A. C. Hewson

We study dynamic ground-state properties in the crossover from weak-(BCS) to strong-coupling (BEC) superfluidity. Our approach is based on the attractive Hubbard model which is analyzed by the dynamical mean-field theory (DMFT) combined with the numerical renormalization group (NRG). We present an extension of the NRG method for effective impurity models to self-consistent calculations with superconducting symmetry breaking. In the one-particle spectra we show quantitatively how the Bogoliubov quasiparticles at weak coupling become suppressed at intermediate coupling. We also present results for the spin and charge gap. The extension of the NRG method to self-consistent superconducting solutions opens the possibility to study a range of other important applications.

Fabio Bagarello

In this paper we use the stochastic limit approach as a tool to discuss the open BCS model of low temperature superconductivity. We also briefly discuss the role of a second reservoir interacting with the first one (but not with the system) in the computation of the critical temperature corresponding to the transition from a normal to a superconducting phase.