Magnetization and entanglement after a geometric quench in the XXZ chain

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.

15 pages, 11 figures, minor changes as published

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Cited by in corpus (19)

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• Domain-wall melting in the spin-$1/2$ XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge
• Entanglement revivals as a probe of scrambling in finite quantum systems
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• Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
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• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
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• Entanglement dynamics of a hard-core quantum gas during a Joule expansion
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Domain-wall melting in all-to-all QSSEP from random-matrix theory