Zugriffsnummer 36832
Dokumenttyp Zeitschriftenartikel Freier Zugang
Peer Review mit Peer Review
Sprache Englisch
Titel Numerical studies of entanglement properties in one- and two-dimensional quantum ising and XXZ models
Autor(in); Institution
Braiorr-Orrs, Briiissuurs; FPM, Fundamentale Physik für Metrologie, PTB-Braunschweig
Weyrauch, Michael; FPM, Fundamentale Physik für Metrologie, PTB-Braunschweig
Rakov, Mihailo V.; Kyiv National Taras Shevchenko University, Faculty of Physics, Kyiv, UKRAINE
Quelle/Jahr Ukrainian Journal of Physics: 61 (2016), 7, 613 - 626
ISSN 2071-0186 (PRINT) ; 2071-0194 (ONLINE)
DOI
Verlag Kyiv: Bogolyubov Inst. for Theoretical Physics of the Nat. Acad. Sci. of Ukraine
Klassifikationscode PACS: 64.70.Tg ; PACS: 03.67.Mn
Freie Schlagworte quantum phase transitions ; quantum entanglement ; Tensor networks ; Spin Systems ; Magnetism
Zusammenfassung 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.
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Zitierung

Braiorr-Orrs, B., Weyrauch, M., & Rakov, M. V. (2016). Numerical studies of entanglement properties in one- and two-dimensional quantum ising and XXZ models. Ukrainian Journal of Physics, 61(7), 613–626. https://doi.org/10.15407/ujpe61.07.0613

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