Local perturbations in localized phases
- Date
- Oct 22, 2014
- Time
- 3:30 PM - 4:30 PM
- Speaker
- Shivaji Sondhi
- Affiliation
- Princeton University
- Language
- en
- Main Topic
- Physik
- Other Topics
- Physik
- Host
- CMT seminars
- Description
- 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.
Last modified: Oct 22, 2014, 9:39:52 AM
Location
Max-Planck-Institut für Physik komplexer Systeme (Seminarroom 3)Nöthnitzer Straße3801187Dresden
- Phone
- + 49 (0)351 871 0
- MPI-PKS
- Homepage
- http://www.mpipks-dresden.mpg.de
Organizer
Max-Planck-Institut für Physik komplexer SystemeNöthnitzer Straße3801187Dresden
- Phone
- + 49 (0)351 871 0
- MPI-PKS
- Homepage
- http://www.mpipks-dresden.mpg.de
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