2023/06/28 by Thomas Iadecola, Srimoyee Sen, Iadecola, Thomas +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dirac fermion #FOS: Physical sciences #Fermion #Fermion doubling #Floquet theory #Hamiltonian (control theory) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Lattice (music) #Mathematics #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nonlinear system #Nuclear Theory (nucl-th) #Optical lattice #Physics #Quantum Physics (quant-ph) #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Topological insulator
paper · pdf · doi:10.48550/arxiv.2306.16463
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion theories. We make this suggestion concrete by mapping the spectrum of a noninteracting (1+1)D Floquet insulator for certain drive parameters onto that of a discrete-time lattice fermion theory with a time-independent Hamiltonian. The resulting Hamiltonian is distinct from the Floquet Hamiltonian that generates stroboscopic dynamics. It can take the form of a discrete-time Su-Schrieffer-Heeger model with half the number of spatial sites of the original model, or of a (1+1)D Wilson-Dirac theory with one quarter of the spatial sites.