Algorithmic progress in the simulation of correlated fermionic quantum many-body systems and applications to superconductors and cold fermionic gases
Numerical methods for interacting quantum systems have made remarkable progress over the last years, allowing access to ever larger systems and lower temperatures with far greater accuracy. We present an overview of recent progress in numerical algorithms for the simulation of strongly correlated fermionic quantum many-body systems on a lattice. We show applications to fermionic cold atomic gas systems and present numerical results for the interplay of the superconducting, metallic (Fermi liquid), and `pseudogap’ phase in high temperature copper-oxide superconductors. We then show recent extensions to strongly correlated non-equilibrium systems.