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Front dynamics in the XY chain after local excitations

by Viktor Eisler, Florian Maislinger

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Submission summary

Authors (as Contributors): Viktor Eisler
Submission information
Arxiv Link: https://arxiv.org/abs/1909.02841v2 (pdf)
Date accepted: 2020-02-24
Date submitted: 2020-02-19 01:00
Submitted by: Eisler, Viktor
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Quantum Physics
Approach: Theoretical

Abstract

We study the time evolution of magnetization and entanglement for initial states with local excitations, created upon the ferromagnetic ground state of the XY chain. For excitations corresponding to a single or two well separated domain walls, the magnetization profile has a simple hydrodynamic limit, which has a standard interpretation in terms of quasiparticles. In contrast, for a spin-flip we obtain an interference term, which has to do with the nonlocality of the excitation in the fermionic basis. Surprisingly, for the single domain wall the hydrodynamic limit of the entropy and magnetization profiles are found to be directly related. Furthermore, the entropy profile is additive for the double domain wall, whereas in case of the spin-flip excitation one has a nontrivial behaviour.

Published as SciPost Phys. 8, 037 (2020)



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