## SciPost Submission Page

# Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps

### by Tobias Gulden, Erez Berg, Mark S. Rudner, Netanel H. Lindner

### Submission summary

As Contributors: | Tobias Gulden |

Arxiv Link: | https://arxiv.org/abs/1901.08385v2 |

Date submitted: | 2019-11-22 |

Submitted by: | Gulden, Tobias |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Quantum Physics |

Approach: | Theoretical |

### Abstract

We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady states which is exponentially large in the inverse driving frequency. Within this lifetime, the quasi-steady state is characterized by maximum entropy subject to the constraint of fixed number of particles in the system's Floquet-Bloch bands. In such a state, all the non-universal properties of these bands are washed out, hence only the topological properties persist.

###### Current status:

Editor-in-charge assigned