Project Details
Projekt
Advanced wave-function based methods for electron-phonon coupled systems
Subject Area
Theoretical Condensed Matter Physics
Term
from 2013 to 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 207383564
The main goal of this project is the development of efficient and versatilecomputational methods for studying correlated low-dimensional quantum systemswith strongly fluctuating bosonic degrees of freedom. These methods are mainly based on one of the most powerful approaches for low-dimensional quantum many-body systems, the matrix-product-state representation of quantumstates. In the first funding period, we developed, implemented and tested numerical methods which allowed us to study the nonequilibrium dynamics of bosonic systems. In the second funding period we will improve the efficiency of these methods for systems in and out-of-equilibrium. In addition, we plan to adapt and test our algorithms in a broad variety of timely problems from condensed matter physics, mostly related to electron-phonon systems. These applications include phase transitions and local entanglement entropy, nonequilibrium and dissipative transport through electron-phonon coupled nanostructures, time-resolved spectroscopy and photoinduced phase transitions inquasi-one-dimensional materials, as well as spin transport in spin-phonon coupled models.
DFG Programme
Research Units
