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Topological Instabilities in ac-Driven Bosonic Systems.

G Engelhardt1, M Benito2, G Platero2

  • 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany.

Physical Review Letters
|August 6, 2016
PubMed
Summary
This summary is machine-generated.

We reveal how dynamic instability and topology interact in bosonic systems. This leads to symmetry-protected topological instabilities localized at system boundaries.

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Area of Science:

  • Condensed matter physics
  • Quantum dynamics
  • Topological physics

Background:

  • Nonequilibrium bosonic systems can exhibit dynamic instabilities with exponentially growing occupation.
  • Topological band structures host symmetry-protected midgap states.

Purpose of the Study:

  • Investigate the interplay between dynamic instability and topology in bosonic systems.
  • Establish a general relationship between topology and instability under AC driving.

Main Methods:

  • Theoretical analysis of bosonic modes under AC driving.
  • Exploration of topological band structures and their influence on instabilities.

Main Results:

  • A general relation between topology and instability under AC driving is established.
  • Dynamical instabilities are controllably created and localized at system boundaries.
  • These boundary-localized instabilities are protected by system symmetries.

Conclusions:

  • The study introduces the concept of topological instabilities.
  • Demonstrates the potential for engineering localized, symmetry-protected instabilities in finite-size systems.