## SciPost Submission Page

# Dissipative flow equations

### by Lorenzo Rosso, Fernando Iemini, Marco SchirĂ², Leonardo Mazza

### Submission summary

As Contributors: | Leonardo Mazza |

Arxiv Link: | https://arxiv.org/abs/2007.12044v1 (pdf) |

Date submitted: | 2020-07-24 14:40 |

Submitted by: | Mazza, Leonardo |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Condensed Matter Physics - Theory |

Approach: | Theoretical |

### Abstract

We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We first test our dissipative flow equations on a generic matrix and on a physical problem with a driven-dissipative single fermionic mode. We then move to problems with many fermionic modes and discuss the interplay between coherent (disordered) dynamics and localized losses. Our method can also be applied to non-Hermitian Hamiltonians.

###### Current status:

Editor-in-charge assigned