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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
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Submission summary
| Authors (as registered SciPost users): | Claudius Hubig · Michael Knap |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1911.01159v2 (pdf) |
| Date accepted: | 2020-01-24 |
| Date submitted: | 2020-01-15 01:00 |
| Submitted by: | Hubig, Claudius |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
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
Published as SciPost Phys. 8, 021 (2020)