Dimerization, Trimerization and Quantum pumping

Abstract

We study one-dimensional topological models with dimerization and trimerization and show that these models can be generated using interaction or optical superlattice. The topological properties of these models are demonstrated by the appearance of edge states and the mechanism of dimerization and trimerization is analyzed. Then we show that a quantum pumping process can be constructed based on each one-dimensional topological model. The quantum pumping process is explicitly demonstrated by the instantaneous energy spectrum and local current. The result shows that the pumping is assisted by the gapless states connecting the bands and one charge is pumped during a cycle, which also defines a nonzero Chern number. Our study systematically shows the connection of one-dimensional topological models and quantum pumping, and is useful for the experimental studies on topological phases in optical lattices and photonic quasicrystals.

6 pages, 9 figures

References in corpus (8)

• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
• Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
• Direct measurement of topological invariants in optical lattices
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Topological pumping in the one-dimensional Bose-Hubbard model
• Hard-core bosons in one-dimensional interacting topological bands

Cited by in corpus (6)

• Topological phase in a non-Hermitian PT symmetric system
• Tuneable topological domain wall states in engineered atomic chains
• Simulation of 1D topological phases in driven quantum dot arrays
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model