Simulations of electric-dipole spin resonance for spin-orbit-coupled quantum dots in Overhauser field: fractional resonances and selection rules

Abstract

We consider spin rotations in single- and two-electron quantum dots that are driven by external AC electric field with two mechanisms that couple the electron spatial motion and the spin degree of freedom: the spin-orbit interaction and a random fluctuation of the Overhauser field due to nuclear spin bath. We perform a systematic numerical simulation of the driven system using a finite difference approach with an exact account taken for the electron-electron correlation. The simulation demonstrates that the electron oscillation in fluctuating nuclear field is translated into an effective magnetic field during the electron wave packet motion. The effective magnetic field drives the spin transitions according to the electric-dipole spin resonance mechanism. We find distinct signatures of selection rules for direct and higher-order transitions in terms of the spin-orbital symmetries of the wave functions. The selection rules are violated by the random fluctuation of the Overhauser field.

References in corpus (11)

• Single-shot read-out of an individual electron spin in a quantum dot
• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Orbital mechanisms of electron spin manipulation by an electric field
• Stimulated and spontaneous optical generation of electron spin coherence in charged GaAs quantum dots
• Hyperfine-mediated gate-driven electron spin resonance
• Suppression of spin relaxation in an InAs nanowire double quantum dot
• Large nuclear Overhauser fields detected in vertically-coupled double quantum dots
• Electrically-Driven Reverse Overhauser Pumping of Nuclear Spins in Quantum Dots
• Resonant harmonic generation and collective spin rotations in electrically driven quantum dots

Cited by in corpus (11)

• Subharmonic transitions and Bloch-Siegert shift in electrically driven spin resonance
• Extreme Harmonic Generation in Electrically Driven Spin Resonance
• Maximal Rabi frequency of an electrically driven spin in a disordered magnetic field
• Spin-orbit coupling and electric-dipole spin resonance in a nanowire double quantum dot
• Tight-binding simulations of electrically driven spin-valley transitions in carbon nanotube quantum dots
• Spontaneous and resonant lifting of the spin blockade in nanowire quantum dots
• Spin-valley dynamics of electrically driven ambipolar carbon-nanotube quantum dots
• Hyperfine interaction mediated electric-dipole spin resonance: the role of frequency modulation
• Single-electron shell occupation and effective $g$-factor in few-electron nanowire quantum dots
• Spin-orbit-induced hole spin relaxation in a quantum dot molecule: the effect of $s$-$p$ coupling
• Spin separation and exchange for quantum dots in the Overhauser field