## SciPost Submission Page

# Flow Equations for Disordered Floquet Systems

### by S. J. Thomson, D. Magano, M. Schiró

### Submission summary

As Contributors: | Steven Thomson |

Arxiv Link: | https://arxiv.org/abs/2009.03186v1 (pdf) |

Date submitted: | 2020-09-09 15:58 |

Submitted by: | Thomson, Steven |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Quantum Physics |

Approach: | Theoretical |

### Abstract

In this work, we present a new approach to disordered, periodically driven (Floquet) quantum many-body systems based on flow equations. Specifically, we introduce a continuous unitary flow of Floquet operators in an extended Hilbert space, whose fixed point is both diagonal and time-independent, allowing us to directly obtain the Floquet modes. We first apply this method to a periodically driven Anderson insulator, for which it is exact, and then extend it to driven many-body localized systems within a truncated flow equation ansatz. In particular we compute the emergent Floquet local integrals of motion that characterise a periodically driven many-body localized phase. We demonstrate that the method remains well-controlled in the weakly-interacting regime, and allows us to access larger system sizes than accessible by numerically exact methods, paving the way for studies of two-dimensional driven many-body systems.