Nonadiabatic robust excitation transfer assisted by an imaginary gauge field

Abstract

A nonadiabatic and robust method of excitation transfer in a non-Hermitian tight-binding linear chain, assisted by an imaginary gauge field, is theoretically proposed. The gauge field undergoes a linear gradient in time, from a negative to a positive value, which results in an effective transfer of excitation between the two edge sites of the chain. An imaginary (gain and loss) gradient of site energy potentials is introduced to exactly cancel nonadiabatic effects, thus providing an effective shortcut to adiabaticity and pseudo-Hermitian dynamics. Numerical simulations indicate that the non-Hermitian excitation transfer method is very robust against disorder in hopping rates and site energy of the chain.

11 pages, 8 figures

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• Synthetic non-Abelian gauge fields for non-Hermitian systems
• The topological counterparts of non-Hermitian SSH models
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Defect-driven incoherent skin localization
• Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials