Advanced numerical methods for correlated quantum gases (A05)

• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2007 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 31867626

The goal of this project is to develop, implement, and use advanced numerical methods for the simulations of ultra-cold gases in connection to other model systems within the SFB and in close collaboration with expriments. The particular algorithms are based on the density matrix renor-malization group and extensions thereof including applications to two-dimensional problems. In the next funding period we intend to use and expand these algorithms in order to tackle: (i) the dynamics of interacting spins, (ii) systems with spin and charge degrees of freedom, and (iii) polarons.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 49: Condensed Matter Systems with Variable Many-Body Interactions
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Co-Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Heads: Professor Dr. Sebastian Eggert; Professor Dr. Michael Fleischhauer