Magnetization and entanglement after a geometric quench in the XXZ chain

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Abstract

We investigate the dynamics of the XXZ spin chain after a geometric quench, which is realized by connecting two half chains prepared in their ground states with zero and maximum magnetizations, respectively. The profiles of magnetization after the subsequent time evolution are studied numerically by density-matrix renormalization group methods, and a comparison to the predictions of generalized hydrodynamics yields a very good agreement. We also calculate the profiles of entanglement entropy and propose an ansatz for the noninteracting XX case, based on arguments from conformal field theory. In the general interacting case, the propagation of the entropy front is studied numerically both before and after the reflection from the chain boundaries. Finally, our results for the magnetization fluctuations indicate a leading order proportionality relation to the entanglement entropy.
Original languageEnglish
Article number174403
JournalPhysical Review / B
Volume99
Issue number17
DOIs
Publication statusPublished - 6 May 2019

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Magnetization
Entropy
entropy
magnetization
renormalization group methods
profiles
Ground state
Hydrodynamics
hydrodynamics
ground state
propagation
predictions

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Magnetization and entanglement after a geometric quench in the XXZ chain. / Gruber, Matthias; Eisler, Viktor.

In: Physical Review / B, Vol. 99, No. 17, 174403, 06.05.2019.

Research output: Contribution to journalArticleResearchpeer-review

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