Berlin 2015 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 55: Low-Dimensional Systems: 2D – Theory

TT 55.12: Vortrag

Mittwoch, 18. März 2015, 12:30–12:45, H 3010

Entanglement properties of one- and two-dimensional quantum Ising and XXZ spin-1/2 models — •Briiissuurs Braiorr-Orrs¹, Michael Weyrauch¹, and Mykhailo Rakov² — ¹Physikalisch-Technische Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany — ²Kyiv National Taras Shevchenko University, 64/13 Volodymyrska st., 01601 Kyiv, Ukraine

Entanglement properties of 1D (spin rings) and 2D (on a square lattice) spin-1/2 quantum Ising and XXZ models are investigated. Numerical methods (MPS in 1D and TERG and CTMRG in 2D) with imaginary-time evolution are used to model the ground state of the studied models. Different entanglement measures, such as one-site entanglement entropy, one-tangle, concurrence of formation and assistance, negativity and entanglement per bond are calculated and their `characterizing power' to determine the phase transition is compared. A special emphasis is made on the connection of the symmetry properties of the ground states and the entanglement properties of the states.