Generalized entanglement in static and dynamic quantum phase transitions

Details Generalized entanglement in static and dynamic quantum phase transitions Generalized entanglement in static and dynamic quantum phase transitions

2008-02-27

arxiv.org/abs/0802.3941v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 eps color figures. Invited talk at the 14th International Conference on Recent Progress in Many Body Theories (RPM

Scientific paper

We investigate a class of one-dimensional, exactly solvable anisotropic XY spin-1/2 models in an alternating transverse magnetic field from an entanglement perspective. We find that a physically motivated Lie-algebraic generalized entanglement measure faithfully portraits the static phase diagram -- including second- and fourth-order quantum phase transitions belonging to distinct universality classes. In the simplest time-dependent scenario of a slow quench across a quantum critical point, we identify parameter regimes where entanglement exhibits universal dynamical scaling relative to the static limit.

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