Floquet topological phase transitions in a periodically quenched dimer

Abstract

We report on the theoretical investigation of the topological properties of a periodically quenched one-dimensional dimerized lattice where a piece-wise constant Hamiltonian switches from $h_1$ to $h_2$ at a partition time $t_p$ within each driving period $T$. We examine different dimerization patterns for $h_1$ and $h_2$ and the interplay with the driving parameters that lead to the emergence of topological states both at zero energy and at the edge of the Brillouin-Floquet quasi-energy zone. We illustrate different phenomena, including the occurrence of both edge states in a semimetal spectrum, the topological transitions, and the generation of zero-energy topological states from trivial snapshots. The role of the different symmetries in our results is also discussed.

13 pages, 10 figures

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• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Wave packet dynamics and edge transport in anomalous Floquet topological phases
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Engineering Arbitrary Hamiltonians in Phase Space
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Floquet States
• Swapping Floquet time crystal
• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Quench dynamics of edge states in a finite extended Su-Schrieffer-Heeger system
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Quantum Phase Transitions in periodically quenched systems
• Degenerate Topological Edge States in Multimer Chains
• Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
• Loop unitary and phase band topological invariant in generic multi-band Chern insulators
• Spin responses of a disordered helical superconducting edge under Zeeman field