Effective Floquet Hamiltonian in the low-frequency regime

Abstract

We develop a theory to derive effective Floquet Hamiltonians in the weak drive and low-frequency regime. We construct the theory in analogy with band theory for electrons in a spatially-periodic and weak potential, such as occurs in some crystalline materials. As a prototypical example, we apply this theory to graphene driven by circularly polarized light of low intensity. We find an analytic expression for the effective Floquet Hamiltonian in the low-frequency regime which accurately predicts the quasienergy spectrum and the Floquet states. Furthermore, we identify self-consistency as the crucial feature effective Hamiltonians in this regime need to satisfy to achieve a high accuracy. The method is useful in providing a realistic description of off-resonant drives for multi-band solid state systems where light-induced topological band structure changes are sought.

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• Dynamical Freezing and Scar Points in Strongly Driven Floquet Matter: Resonance vs Emergent Conservation Laws
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Floquet engineering of interlayer couplings: Tuning the magic angle of twisted bilayer graphene at the exit of a waveguide
• Floquet engineering of twisted double bilayer graphene
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Generation of higher-order topological insulators using periodic driving
• Detecting light-induced Floquet band gaps of graphene via trARPES
• Floquet spectrum for anisotropic and tilted Dirac materials under linearly polarized light at all field intensities
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Floquet engineering of the Luttinger Hamiltonian
• Pseudo Electric Field and Pumping Valley Current in Graphene Nano-bubbles
• Fano resonances in optical spectra of semiconductor quantum wells driven by an oscillating field
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Floquet Engineering of Lie Algebraic Quantum Systems
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator
• Optical Conductivity Signatures of Floquet Electronic Phases
• Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• The Future of the Correlated Electron Problem
• Ultrafast pseudomagnetic fields from electron-nuclear quantum geometry
• Floquet boundary states in AB-stacked graphite
• Excitonic enhancement of cavity-mediated interactions in a two-band Hubbard model
• Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap
• On the different Floquet Hamiltonians in a periodic-driven Bose-Josephson junction
• Low-frequency and Moiré Floquet engineering: a review
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• Localized Floquet states in gated bilayer graphene induced by a focused optical beam with orbital angular momentum
• Resonant states of structured photonic time crystals
• Non-Abelian statistics in light scattering processes across interacting Haldane chains
• Localization and topological signatures under periodic twisting
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene