Seminar
Tuesday, 30 August, 2011
Group Seminar MPQ: Introduction to the time-dependent density matrix renormalization group method and its application to ultra-cold atomic systems
Tuesday, 30.08.2011 10 a.m. (s.t.) in Herbert-Walther-lecture room, MPQ Garching
Dr. Fabian Heidrich-Meisner, LMU Munich
This talk will give an introduction to the basic concepts and the implementation of time-dependent DMRG (tDMRG) algorithms, which is a numerical method to simulate the time-evolution of a pure many-body wave function. A particular focus will be on the strengths and limitations of the method, the former being its broad applicability to one-dimensional lattice problems, including fermionic, bosonic and spin systems, as well as mixtures thereof. The main limitation of the method is the exponential growth in numerical costs that is encountered whenever the time-evolving wave function encodes a rapid increase in entanglement as a function of time. I will also touch upon extensions to finite temperatures, dissipative systems and more recent developments that are aimed at dealing with the entanglement growth. Finally, I'll discuss typical problems that arise in the context of ultra-cold atomic gases that can be studied with tDMRG and will present a selection of concrete applications.