Resonant harmonic generation and collective spin rotations in electrically driven quantum dots

Abstract

Spin rotations induced by an AC electric field in a two-electron double quantum dot are studied by an exact numerical solution of the time dependent Schroedinger equation in the context of recent electric dipole spin resonance experiments based on the Pauli blockade. We demonstrate that the splitting of the main resonance line by the spin exchange coupling is accompanied by the appearance of fractional resonances and that both these effects are triggered by interdot tunnel coupling. We find that the AC driven system generates residual but distinct harmonics of the driving frequency which are amplified when tuned to the main transition frequency. The mechanism is universal for electron systems in electrically driven potentials and works also in the absence of electron-electron interaction or spin-orbit coupling.

Corrected version accepted for PRB

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• Second Harmonic Coherent Driving of a Spin Qubit in a Si/SiGe Quantum Dot
• Effect of gate-driven spin resonance on the conductance of a one-dimensional quantum wire
• Multi-level interference resonances in strongly-driven three-level systems
• Spin polarization anisotropy in a narrow spin-orbit-coupled nanowire quantum dot
• Maximal Rabi frequency of an electrically driven spin in a disordered magnetic field
• Tight-binding simulations of electrically driven spin-valley transitions in carbon nanotube quantum dots
• Simulations of electric-dipole spin resonance for spin-orbit-coupled quantum dots in Overhauser field: fractional resonances and selection rules
• Spin rotation by resonant electric field in few-level quantum dots: Floquet dynamics and tunneling
• Position and Spin Control by Dynamical Ultrastrong Spin-Orbit Coupling
• Optimal control of universal quantum gates in a double quantum dot
• Electrically driven spin resonance in a bent disordered carbon nanotube
• Electric dipole spin resonance at shallow donors in quantum wires
• Electric dipole spin resonance in single and two electron quantum dot defined in two-dimensional electron gas at the SrTiO${}_3$/LaAlO${}_3$ interface
• Shaped electric fields for fast optimal manipulation of electron spin and position in a double quantum dot
• Controllable single spin evolution at sub-harmonics of electric dipole spin resonance enhanced by four-level Landau-Zener-St{ü}ckelberg-Majorana interference
• Spontaneous and resonant lifting of the spin blockade in nanowire quantum dots
• Single-electron shell occupation and effective $g$-factor in few-electron nanowire quantum dots
• Oscillating spin-orbit interaction as a source of spin-polarized wave packets in two-terminal nanoscale devices
• Indirect control of spin precession by electric field via spin-orbit coupling