Objective
"This proposal concerns simulations for correlated fermionic quantum systems where strong quantum effects give rise to a plethora of fascinating phenomena and new methodological developments are needed for their understanding. Ultracold Fermi gases in optical lattices provide a unique opportunity: being simpler and more controlled and tuneable than condensed matter material they are not only ideal experimental realizations of correlated fermions but also provide an excellent testing ground for numerical simulation methods. Over the past years we have developed new algorithmic approaches, including continuous time quantum Monte Carlo (QMC) methods and diagrammatic Monte Carlo methods for fermionic simulations. These new methods provide performance improvements of many orders of magnitude compared to previous state of the art methods. In this project we will further develop these algorithms and implement them on new massively parallel petaflop supercomputers. This will enable reliable simulations of correlated fermionic quantum systems, such as single and multi-band Hubbard models first in cold atomic gases, and later in realistic models for materials. A second line of research will be the development of Kohn-Sham density-functional theory (DFT) for ultracold atomic gases. DFT based on density functional for the electron gas is the main workhorse for materials simulation, but it is challenging to apply it to the strongly correlated regime. With a DFT method for atomic gases we will, on the one hand, be able to solve challenging problems in ultracold gases. On the other hand and maybe even more important will be the ability to use cold gases to improve hybrid functionals for the strongly correlated regime. This will form a strong link between ultracold gases and materials science, stronger than the Hubbard model that is the focus of attention at the moment."
Fields of science
Call for proposal
ERC-2011-ADG_20110209
See other projects for this call
Funding Scheme
ERC-AG - ERC Advanced GrantHost institution
8092 Zuerich
Switzerland