Local perturbations in localized phases

Datum

22.10.2014

Zeit

15:30 - 16:30

Sprecher

Shivaji Sondhi

Zugehörigkeit

Princeton University

Sprache

en

Hauptthema

Physik

Andere Themen

Physik

Host

CMT seminars

Beschreibung

We examine the response of a system localized by disorder to a time dependent local perturbation which varies smoothly with a characteristic timescale τ. We find that such a perturbation surprisingly induces a highly non-local response, involving a rearrangement of conserved quantities over a length scale ∼ ln τ. This effect lies beyond linear response, is absent in undisordered insulators and highlights the remarkable subtlety of localized phases. The effect is common to both single particle and many body localized phases. Our results have implications for numerous fields, including topological quantum computation in quantum Hall systems, quantum control in disordered environments, and time dependent localized systems. They also establish that disorder localized insulators suffer from a statistical orthogonality catastrophe.

Letztmalig verändert: 22.10.2014, 09:39:52