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Integrable models for confined fermions: applications to metallic grains
Luigi Amico, Antonio Di Lorenzo, Andreas Osterloh
We study integrable models for electrons in metals when the single particle spectrum is discrete. The electron-electron interactions are BCS-like pairing, Coulomb repulsion, and sp…
Exact correlation functions of the BCS model in the canonical ensemble
Luigi Amico, Andreas Osterloh
We evaluate correlation functions of the BCS model for finite number of particles. The integrability of the Hamiltonian relates it with the Gaudin algebra . Theref…
Integrable model for interacting electrons in metallic grains
Luigi Amico, Antonio Di Lorenzo, Andreas Osterloh
We find an integrable generalization of the BCS model with non-uniform Coulomb and pairing interaction. The Hamiltonian is integrable by construction since it is a functional of co…
Time dependent mean field theory of the superfluid-insulator phase transition
Luigi Amico, Vittorio Penna
We develop a time-dependent mean field approach, within the time-dependent variational principle, to describe the Superfluid-Insulator quantum phase transition. We construct the ze…
Coherence between superconducting edge states in superconducting periodic arrays of artificial defects
C. C. Abilio, L. Amico, Rosario Fazio +1
The transition line of superconducting arrays of holes exhibits a rich field structure due to the interference of superconducting states nucleated at the holes edges. We studied by…
Dynamical Mean Field Theory of the Bose-Hubbard Model
L. Amico, V. Penna
Quantum dynamics of the Bose-Hubbard Model is investigated through a semiclassical hamiltonian picture provided by the Time-Dependent Variational Principle method. The system is st…