Topological pumping of edge states via adiabatic passage

Abstract

Topological pumping of edge states in finite crystals or quasicrystals with non-trivial topological phases provides a powerful means for robust excitation transfer. In most schemes of topological pumping, the edge states become delocalized and immersed into the continuum during the adiabatic cycle, requiring extremely slow evolution to avoid nonadiabatic effects. Here a scheme of topological pumping based on adiabatic passage of edge and interface states is proposed, which is more robust against nonadiabatic effects and avoids delocalization of the state over the entire adiabatic cycle. The scheme is illustrated by considering adiabatic passage in a system sustaining two topologically-protected edge states and one interface state, realized by interfacing two dimerized Su-Schrieffer-Heeger chains with different topological order

10 pages, 8 figures, to appear in Phys Rev B

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• Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
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• Fast and robust quantum state transfer via a topological chain
• Topological state transfer in Kresling origami
• Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams
• Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
• Topological quantum transport and spatial entanglement distribution via disordered bulk channel
• Arbitrary entangled state transfer via a topological qubit chain
• Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain
• Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chain
• Fast quantum transfer mediated by topological domain walls
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Evolutionary computation for adaptive quantum device design
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Optimizing edge state transfer in a Su-Schrieffer-Heeger chain via hybrid analog-digital strategies
• Non-Hermitian Hartman effect
• Quantum transport in a one-dimensional quasicrystal with mobility edges
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• High Efficiency Topological Pumping with Discrete Supersymmetry Transformations
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Spatial adiabatic passage of ultracold atoms in optical tweezers
• Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Transfer of solitons and half-vortex solitons via adiabatic passage
• Boosting Topological Zero Modes Using Elastomer Waveguide Arrays
• Multipartite entanglement distribution in a topological photonic network
• Asymmetric topological pumping in nonparaxial photonics
• Non-Abelian interference of topological edge states
• Mode pumping in photonic lattices using a single tailored auxiliary waveguide
• Recurrence method in Non-Hermitian Systems
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump