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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
- Published as SciPost Phys. 8, 021 (2020)
|As Contributors:||Claudius Hubig · Michael Knap|
|Submitted by:||Hubig, Claudius|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - 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.
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Published as SciPost Phys. 8, 021 (2020)
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.
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