## SciPost Submission Page

# Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model

### by C. Hubig, A. Bohrdt, M. Knap, F. Grusdt, J. I. Cirac

### Submission summary

As Contributors: | Claudius Hubig |

Arxiv Link: | https://arxiv.org/abs/1911.01159v1 |

Date submitted: | 2019-11-05 |

Submitted by: | Hubig, Claudius |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | Condensed Matter Physics - Computational |

Approaches: | Theoretical, Computational |

### Abstract

Infinite projected entangled pair states (iPEPS) provide a convenient variational description of infinite, translationally-invariant two-dimensional quantum states. However, the simulation of local excitations is not directly possible due to the translationally-invariant ansatz. Furthermore, as iPEPS are either identical or orthogonal, expectation values between different states as required during the evaluation of non-equal-time correlators are ill-defined. Here, we show that by introducing auxiliary states on each site, it becomes possible to simulate both local excitations and evaluate non-equal-time correlators in an iPEPS setting under real-time evolution. We showcase the method by simulating the t-J model after a single hole has been placed in the half-filled antiferromagnetic background and evaluating both return probabilities and spin correlation functions, as accessible in quantum gas microscopes.