Criticality and entanglement in random quantum systems

Details Criticality and entanglement in random quantum systems Criticality and entanglement in random quantum systems

2009-08-13

arxiv.org/abs/0908.1986v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Review article for the special issue "Entanglement entropy in extended systems" in J. Phys. A

Scientific paper

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum criticality of these systems and an understanding of their relationship to non-random ("pure") quantum criticality. The entanglement near many such critical points in one dimension shows a logarithmic divergence in subsystem size, similar to that in the pure case but with a different universal coefficient. Such universal coefficients are examples of universal critical amplitudes in a random system. Possible measurements are reviewed along with the one-particle entanglement scaling at certain Anderson localization transitions. We also comment briefly on higher dimensions and challenges for the future.

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