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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
Arxiv Link:
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


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.

Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

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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