Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
Abstrak
We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged Hamiltonian. These classes cover systems, such as the Kapitza pendulum, the Harper–Hofstadter model of neutral atoms in a magnetic field, the Haldane Floquet Chern insulator and others. In all setups considered, we discuss both the infinite-frequency limit and the leading finite-frequency corrections to the Floquet Hamiltonian. We provide a short overview of Floquet theory focusing on the gauge structure associated with the choice of stroboscopic frame and the differences between stroboscopic and non-stroboscopic dynamics. In the latter case, one has to work with dressed operators representing observables and a dressed density matrix. We also comment on the application of Floquet Theory to systems described by static Hamiltonians with well-separated energy scales and, in particular, discuss parallels between the inverse-frequency expansion and the Schrieffer–Wolff transformation extending the latter to driven systems.
Topik & Kata Kunci
Penulis (3)
M. Bukov
L. D'Alessio
A. Polkovnikov
Akses Cepat
- Tahun Terbit
- 2014
- Bahasa
- en
- Total Sitasi
- 1116×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1080/00018732.2015.1055918
- Akses
- Open Access ✓