2015/02/28 by André Eckardt, Egidijus Anisimovas · 3 citations
Physics and Astronomy · #Degenerate energy levels #Floquet theory #Hamiltonian (control theory) #Hilbert space #Mathematical physics #Nonlinear system #Operator (biology) #Perturbation theory (quantum mechanics) #Phase space #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1088/1367-2630/17/9/093039
published as New. J. Phys. 17, 093039 (2015) · 48 pages, 7 figures
arxiv created 2015/06/15 · openalex publication_date 2015/09/23 · arxiv updated 2015/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.