Magnetization and Entanglement after a geometric quench in the XXZ chain

Matthias Gruber (Speaker)

Activity: Talk or presentationTalk at conference or symposiumScience to science


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.
Period1 Apr 2019
Event title2019 DPG-Frühjahrstagung
Event typeConference
LocationRegensburg, Germany, Bavaria
Degree of RecognitionInternational

Fields of Expertise

  • Advanced Materials Science