Shaped electric fields for fast optimal manipulation of electron spin and position in a double quantum dot

Abstract

We use quantum optimal control theory algorithms to design external electric fields that drive the coupled spin and orbital dynamics of an electron in a double quantum dot, subject to the spin-orbit interaction and Zeeman magnetic fields. We obtain time-profiles of multi-frequency electric pulses which increase the rate of spin-flip transitions by several orders of magnitude in comparison with monochromatic fields, where the spin Rabi oscillations were predicted to be very slow. This precise, with the accuracy higher than $10^{-4}$, and fast, at the timescale of the order of 0.1 ns, simultaneous control of the electron spin orientation and position is achieved while keeping the electron in the four lowest tunneling- and Zeeman-split levels through the duration of the pulse, facilitating high fidelity and suggesting useful applications in spintronics and quantum information devices.

19 pages, 6 figures, submitted to PRB

References in corpus (10)

• Coherent control of a single electron spin with electric fields
• Orbital mechanisms of electron spin manipulation by an electric field
• Optimal Control of Quantum Rings by Terahertz Laser Pulses
• Spin dynamics in a strongly driven system: very slow Rabi oscillations
• Fast and robust spin manipulation in a quantum dot by electric fields
• Subharmonic transitions and Bloch-Siegert shift in electrically driven spin resonance
• Spin rotations induced by electron running on closed trajectories in gated semiconductor nanodevices
• Optimal laser-control of double quantum dots
• Resonant harmonic generation and collective spin rotations in electrically driven quantum dots
• Intense terahertz laser fields on a quantum dot with Rashba spin-orbit coupling

Cited by in corpus (5)

• Single spin Landau-Zener-Stückelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot
• Quantum Pontryagin Principle under Continuous Measurements and Feedback
• Electric-field-induced interferometric resonance of a one-dimensional spin-orbit-coupled electron
• Controllable single spin evolution at sub-harmonics of electric dipole spin resonance enhanced by four-level Landau-Zener-St{ü}ckelberg-Majorana interference
• Fast electron spin flips via strong subcycle electric excitation