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

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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.
Original languageEnglish
Article number014
JournalSciPost Physics
Volume1
Issue number2
DOIs
Publication statusPublished - 30 Dec 2016

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domain wall
propagation
profiles
fermions
magnetization
Jordan
excitation
melting
entropy
operators
ground state

Keywords

  • cond-mat.stat-mech

Cite this

Universal front propagation in the quantum Ising chain with domain-wall initial states. / Eisler, Viktor; Maislinger, Florian; Evertz, Hans Gerd.

In: SciPost Physics, Vol. 1, No. 2, 014, 30.12.2016.

Research output: Contribution to journalArticleResearchpeer-review

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