## SciPost Submission Page

# Decoherence and relaxation of topological states in extended quantum Ising models

### by Hannes Weisbrich, Wolfgang Belzig, Gianluca Rastelli

### Submission summary

As Contributors: | Wolfgang Belzig · Gianluca Rastelli · Hannes Weisbrich |

Arxiv Link: | https://arxiv.org/abs/1812.06899v2 |

Date accepted: | 2019-03-20 |

Date submitted: | 2019-03-13 |

Submitted by: | Weisbrich, Hannes |

Submitted to: | SciPost Physics |

Domain(s): | Theoretical |

Subject area: | Condensed Matter Physics - Theory |

### Abstract

We study the decoherence and the relaxation dynamics of topological states in an extended class of quantum Ising chains which can present a manyfold ground state subspace. The leading interaction of the spins with the environment is assumed to be the local fluctuations of the transverse magnetic field. By deriving the Lindblad equation using the many-body states, we investigate the relation between decoherence, energy relaxation and topology. In particular, in the topological phase and at low temperature, we analyze the dephasing rates between the different degenerate ground states.

###### Current status:

Publication decision taken: accept

### Submission & Refereeing History

Resubmission 1812.06899v2 on 13 March 2019

Submission 1812.06899v1 on 18 December 2018