Efficient electron transfer in quantum dot chains controlled by a cubic detuning profile via shortcuts to adiabaticity

Abstract

Long-distance fast and precise transfer of charge in semiconductor nanostructures is one of the goals for scalable electronic devices. We study theoretically the control of shuttling of an electron along a linear chain of semiconductor electrostatically defined quantum dots by an electric field pulse with nonlinear time-dependent profile. We show that this essential nonlinearity along with shortcuts to adiabaticity techniques speed up the electron transfer with high fidelity, while still holding great robustness under spin-flip interactions and inhomogeneities in the couplings of the chain. A given fidelity can be set experimentally by controlling the maximum sweep energy and duration of the control pulse.