## SciPost Submission Page

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

### by Viktor Eisler, Florian Maislinger, Hans Gerd Evertz

#### - Published as SciPost Phys. 1, 014 (2016)

### 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.

###### Current status:

### Ontology / Topics

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### List of changes

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