Generalized entanglement in static and dynamic quantum phase transitions

Abstract

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.

11 pages, 4 eps color figures. Invited talk at the 14th International Conference on Recent Progress in Many Body Theories (RPMBT14), July 2007, Barcelona

References in corpus (1)

• Entanglement and Subsystems, Entanglement beyond Subsystems, and All That

Cited by in corpus (6)

• Quantum phase transitions in transverse field spin models: from statistical physics to quantum information
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• Multipartite entanglement at dynamical quantum phase transitions with non-uniformly spaced criticalities
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics