Observation of topologically protected bound states in photonic quantum walks

Takuya Kitagawa, Matthew A. Broome, Alessandro Fedrizzi, Mark S. Rudner, Erez Berg, Ivan Kassal, Alan Aspuru-Guzik, Eugene Demler, Andrew G. White

Research output: Contribution to journalArticle

330 Citations (Scopus)

Abstract

Topological phases exhibit some of the most striking phenomena in modern physics. Much of the rich behaviour of quantum Hall systems, topological insulators, and topological superconductors can be traced to the existence of robust bound states at interfaces between different topological phases. This robustness has applications in metrology and holds promise for future uses in quantum computing. Engineered quantum systems-notably in photonics, where wavefunctions can be observed directly-provide versatile platforms for creating and probing a variety of topological phases. Here we use photonic quantum walks to observe bound states between systems with different bulk topological properties and demonstrate their robustness to perturbations-a signature of topological protection. Although such bound states are usually discussed for static (time-independent) systems, here we demonstrate their existence in an explicitly time-dependent situation. Moreover, we discover a new phenomenon: a topologically protected pair of bound states unique to periodically driven systems.

Original languageEnglish
Article number882
Number of pages7
JournalNature Communications
Volume3
DOIs
Publication statusPublished - Jun 2012

Keywords

  • INSULATOR
  • ATOMS
  • SOLITONS

Cite this

Kitagawa, T., Broome, M. A., Fedrizzi, A., Rudner, M. S., Berg, E., Kassal, I., Aspuru-Guzik, A., Demler, E., & White, A. G. (2012). Observation of topologically protected bound states in photonic quantum walks. Nature Communications, 3, [882]. https://doi.org/10.1038/ncomms1872