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DCCQS Colloquium: Prof. Dr. Yang Peng: Real-space topological invariant for time-quasiperiodic Majoranas

Jun 18, 2024 | 04:00 PM c.t.
Prof. Dr. Yang Peng

Prof. Dr. Yang Peng
Image Credit: IQIM

California State University Northridge (CSUN), College of Science and Mathematics, Department of Physics and Astronomy, Northridge, CA, USA

Colloquium of the Dahlem Center for Complex Quantum Systems

When subjected to quasiperiodic driving protocols, superconducting systems have been found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond static and Floquet systems. However, the presence of incommensurate driving frequencies results in dense energy spectra, rendering conventional methods of defining topological invariants based on band structure inadequate.

In this work, we introduce a real-space topological invariant capable of identifying time-quasiperiodic Majoranas by leveraging the system's spectral localizer, which integrates information from both Hamiltonian and position operators. Drawing insights from non-Hermitian physics, we establish criteria for constructing the localizer and elucidate the robustness of this invariant in the presence of dense spectra. Our numerical simulations, focusing on a Kitaev chain driven by two incommensurate frequencies, validate the efficacy of our approach.

Time & Location

Jun 18, 2024 | 04:00 PM c.t.

Lecture Hall A (1.3.14)
Department of Physics
Arnimallee 14
14195 Berlin

Further Information


Prof. Dr. Felix von Oppen


  • colloquium
  • Dahlem Center for Complex Quantum Systems
  • quantum physics
  • research
  • Yang Peng