2014/12/31 by Takashi Mori · 2 citations
Mathematics · Physics and Astronomy · #Bound state #Eigenvalues and eigenvectors #Floquet theory #Mathematics #Metastability #Nonlinear system #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #State (computer science) #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.91.020101
published as Phys. Rev. A 91, 020101 (2015) · 5 pages, 3 figures
openalex publication_date 2015/02/19 · arxiv created 2015/02/20 · arxiv updated 2015/03/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Floquet eigenvalue problem is analyzed for periodically driven Friedrichs models on discrete and continuous space. In the high-frequency regime, there exists a Floquet bound state consistent with the Floquet-Magnus expansion in the discrete Friedrichs model, while it is not the case in the continuous model. In the latter case, however, the bound state predicted by the Floquet-Magnus expansion appears as a metastable state whose lifetime diverges in the limit of large frequencies. We obtain the lifetime by evaluating the imaginary part of the quasienergy of the Floquet resonant state. In the low-frequency regime, there is no Floquet bound state and instead the Floquet resonant state with exponentially small imaginary part of the quasienergy appears, which is understood as the quantum tunneling in the energy space.