## SciPost Submission Page

# Dissipation-induced topological insulators: A no-go theorem and a recipe

### by Moshe Goldstein

### Submission summary

As Contributors: | Moshe Goldstein |

Preprint link: | scipost_201908_00003v1 |

Date submitted: | 2019-08-01 |

Submitted by: | Goldstein, Moshe |

Submitted to: | SciPost Physics |

Domain(s): | Theoretical |

Subject area: | Condensed Matter Physics - Theory |

### Abstract

Dissipation has recently been recognized as means to generate, rather than destroy, nontrivial quantum states. Could these be topological? Here I give a general answer for Gaussian states and Lindblad evolution. I prove a no-go theorem stating that a finite-range Lindbladian cannot induce finite-rate exponential decay towards a unique topological pure state above 1D. I construct a recipe for creating such state by exponentially-local dynamics, or a mixed state arbitrarily close to the desired pure one via finite-range dynamics. I also discuss the cold-atom realization, classification, and detection of these states.

###### Current status:

Editor-in-charge assigned