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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 · Michael Knap
Arxiv Link: https://arxiv.org/abs/1911.01159v2
Date accepted: 2020-01-24
Date submitted: 2020-01-15
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.

Ontology / Topics

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Correlation functions Infinite projected entangled pair states (iPEPS)

Published as SciPost Phys. 8, 021 (2020)



Author comments upon resubmission

Dear Editor,

please find attached the resubmission of our manuscript "Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model". We have incorporated the references suggested by the second referee and have also taken into account the suggestion by the third referee.

Kind regards

Claudius Hubig

List of changes

- include footnote suggesting that the singular value spectrum may provide information on entanglement errors
- include references suggested by the second referee
- include comment in the conclusion that longer times would also allow a closer study of the holon-spinon interaction

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