| Title |
High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective / |
| Authors |
Eckardt, André ; Anisimovas, Egidijus |
| DOI |
10.1088/1367-2630/17/9/093039 |
| Full Text |
|
| Is Part of |
New journal of physics.. Woodbury : IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. 2015, Vol. 17, no. 9, art. no. 093039, p. [1-35].. eISSN 1367-2630 |
| Keywords [eng] |
optical lattice ; driven quantum systems ; Floquet theory |
| Abstract [eng] |
We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the extended Floquet Hilbert space by means of degenerate perturbation theory. The final results are equivalent to those obtained within a different approach (Rahav et al 2003 Phys. Rev. A 68 013820), (Goldman and Dalibard 2014 Phys. Rev. X 4 031027) and can also be related to the Floquet–Magnus expansion (Casas et al 2001 J. Phys. A 34 3379). We discuss that the dependence on the driving phase, which plagues the latter, can lead to artifactual symmetry breaking. The high-frequency approach is illustrated using the example of a periodically driven Hubbard model. Moreover, we discuss the nature of the approximation and its limitations for systems of many interacting particles. |
| Published |
Woodbury : IOP Publishing Ltd and Deutsche Physikalische Gesellschaft |
| Type |
Journal article |
| Language |
English |
| Publication date |
2015 |
| CC license |
|
