Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-10-29
Phys. Rev. B 82, 235114 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 Pages + Appendix
Scientific paper
10.1103/PhysRevB.82.235114
Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In this paper, we show that the Floquet operators of periodically driven systems can be divided into topologically distinct (homotopy) classes, and give a simple physical interpretation of this classification in terms of the spectra of Floquet operators. Using this picture, we provide an intuitive understanding of the well-known phenomenon of quantized adiabatic pumping. Systems whose Floquet operators belong to the trivial class simulate the dynamics generated by time-independent Hamiltonians, which can be topologically classified according to the schemes developed for static systems. We demonstrate these principles through an example of a periodically driven two--dimensional hexagonal lattice model which exhibits several topological phases. Remarkably, one of these phases supports chiral edge modes even though the bulk is topologically trivial.
Berg Erez
Demler Eugene
Kitagawa Takuya
Rudner Mark
No associations
LandOfFree
Topological characterization of periodically-driven quantum systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Topological characterization of periodically-driven quantum systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological characterization of periodically-driven quantum systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-614720