Numerical Studies of Entanglement Properties in One- and Two-Dimensional Quantum Ising and XXZ Models

  • B. Braiorr-Orrs Physikalisch-Technische Bundesanstalt
  • M. Weyrauch Physikalisch-Technische Bundesanstalt
  • M. V. Rakov Kyiv National Taras Shevchenko University, Faculty of Physics
Keywords: quantum phase transitions, quantum entanglement, tensor networks

Abstract

We investigate entanglement properties of infinite one- and two-dimensional spin-1/2 quantum Ising and XXZ models. Tensor network methods (TI MPS with single-site update and TEBD for MPS, TERG and CTMRG with “simple update” for PEPS) are used to model the ground states of the studied models. Different entanglement measures, such as the one-site entanglement entropy, one-tangle, concurrence of formation and assistance, negativity and entanglement per bond are compared with respect to their ability to exhibit “structures” in the phase diagram of the models (e.g., phase transitions). We study the connection between symmetries and the entanglement of ground states and analyze short- and long-range entanglement through the entanglement monogamy.

Published
2019-01-05
How to Cite
Braiorr-Orrs, B., Weyrauch, M., & Rakov, M. (2019). Numerical Studies of Entanglement Properties in One- and Two-Dimensional Quantum Ising and XXZ Models. Ukrainian Journal of Physics, 61(7), 613. https://doi.org/10.15407/ujpe61.07.0613
Section
Solid matter