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Current issue   Ukr. J. Phys. 2016, Vol. 61, N 7, p.613-626
http://dx.doi.org/10.15407/ujpe61.07.0613    Paper

Braiorr-Orrs B.1, Weyrauch M.1, Rakov M.V. 2

1 Physikalisch-Technische Bundesanstalt
(Bundesallee 100, 38116 Braunchweig, Germany)
2 Kyiv National Taras Shevchenko University, Faculty of Physics
(64/13, Volodymyrs’ka Str., Kyiv 01601, Ukraine; e-mail: mykhailo.rakov@univ.kiev.ua)

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

Section: Solid Matter
Original Author's Text: English

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.

Key words: quantum phase transitions, quantum entanglement, tensor networks.

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