Topological phenomena in periodically driven systems

Topology has been recognized as an important principle to characterized phases of quantum matter, from quantum Hall states to topological superconductor. Surprisingly, subjecting the system to a periodicially modulated driving allows for an even richer structure, including non-equliibrium "phases" that are not accessible in static systems. These include new types of anomalous Floquet band structures, non-adiabatic quantized charge pumps, and new types of protected Majorana bound states that may be useful as building blocks for topological qubits. 

Selected publications:

  • "Stability of Floquet Majorana box qubits",  Anne Matthies, Jinhong Park, Erez Berg, Achim Rosch, arXiv:2110.05281; Accepted to Phys. Rev. Lett. (2022).

  • "Topologically protected braiding in a single wire using Floquet Majorana modes", Bela Bauer, T. Pereg-Barnea, Torsten Karzig, Maria-Theresa Rieder, Gil Refael, Erez Berg, and Yuval Oreg, Phys. Rev. B 100, 041102(R) (2019).
  • "Universal Chiral Quasisteady States in Periodically Driven Many-Body Systems", Netanel H. Lindner, Erez Berg, and Mark S. Rudner, Phys. Rev. X 7, 011018 (2017).
  • "Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump", Paraj Titum, Erez Berg, Mark S. Rudner, Gil Refael, and Netanel H. Lindner, Phys. Rev. X 6, 021013 (2016).
  • "Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems", Mark S. Rudner, Netanel H. Lindner, Erez Berg, and Michael Levin, Phys. Rev. X 3, 031005 (2013).
  • "Topological characterization of periodically driven quantum systems", Takuya Kitagawa, Erez Berg, Mark Rudner, and Eugene Demler, Phys. Rev. B 82, 235114 (2010).