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

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.

12 pages, 5 figures, minor revision requested by SciPost Physics

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Cited by in corpus (6)

• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
• Spatial structure of magnetic polarons in strongly interacting antiferromagnets