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Universal front propagation in the quantum Ising chain with domain-wall initial states

by Viktor Eisler, Florian Maislinger, Hans Gerd Evertz

Submission summary

As Contributors: Viktor Eisler
Arxiv Link: http://arxiv.org/abs/1610.01540v3
Date accepted: 2016-12-22
Date submitted: 2016-12-09
Submitted by: Eisler, Viktor
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

We study the melting of domain walls in the ferromagnetic phase of the transverse Ising chain, created by flipping the order-parameter spins along one-half of the chain. If the initial state is excited by a local operator in terms of Jordan-Wigner fermions, the resulting longitudinal magnetization profiles have a universal character. Namely, after proper rescalings, the profiles in the noncritical Ising chain become identical to those obtained for a critical free-fermion chain starting from a step-like initial state. The relation holds exactly in the entire ferromagnetic phase of the Ising chain and can even be extended to the zero-field XY model by a duality argument. In contrast, for domain-wall excitations that are highly non-local in the fermionic variables, the universality of the magnetization profiles is lost. Nevertheless, for both cases we observe that the entanglement entropy asymptotically saturates at the ground-state value, suggesting a simple form of the steady state.

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Ontology / Topics

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Domain walls Dualities Entanglement entropy Ferromagnetic phases Free fermions Ising model Jordan-Wigner fermions/transformation Quantum quenches Steady states Transverse-field Ising chain XY model

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