Berlin 2012 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 1: Correlated Electrons: Low-dimensional Systems - Models 1
TT 1.5: Talk
Monday, March 26, 2012, 10:30–10:45, H 0104
Relaxation and thermalization in the 1d Hubbard model — •Tilman Enss1 and Jesko Sirker2 — 1TU München, Germany — 2TU Kaiserslautern, Germany
The time evolution of a 1d quantum system after a quench is a challenging many-body problem which can be studied, e.g., numerically using time-dependent density matrix renormalization group (DMRG) techniques. As shown by Lieb and Robinson, information spreads at a finite velocity resulting in an effective ``light cone''. In my talk I will present a very efficient DMRG algorithm based on this light cone structure. With the help of the DMRG data I will discuss the relaxation and thermalization of doublon states in the fermionic Hubbard model.