Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 7: Dynamics in many-body systems: Equilibration and localization I (joint session DY/TT)

TT 7.10: Talk

Monday, April 1, 2019, 12:30–12:45, H19

Magnetization and Entanglement after a geometric quench in the XXZ chain — •Matthias Gruber and Viktor Eisler — TU Graz, Graz, Österreich

We consider the XXZ spin chain in the gapless regime and study magnetization and entropy profiles after a geometric quench. This quench is realized by preparing the ground states with zero and maximum magnetizations on the two halves of a chain and letting it evolve subsequently. The magnetization profiles during time evolution are studied numerically by tDMRG and compared to the predictions obtained from generalized hydrodynamics (GHD). We find that the GHD description of the dynamics provides a very good agreement with the numerical data. Furthermore, entanglement entropy profiles are also studied, finding a closed form expression in the non-interacting XX case. For the general interacting case, the propagation velocities of the entropy fronts are studied both before and after the reflection from the boundaries. Finally, we also study the relationship between magnetization fluctuations and entanglement entropy.