Subharmonic transitions and Bloch-Siegert shift in electrically driven spin resonance

Abstract

We theoretically study coherent subharmonic (multi-photon) transitions of a harmonically driven spin. We consider two cases: magnetic resonance (MR) with a misaligned, i.e., non-transversal driving field, and electrically driven spin resonance (EDSR) of an electron confined in a one-dimensional, parabolic quantum dot, subject to Rashba spin-orbit interaction. In the EDSR case, we focus on the limit where the orbital level spacing of the quantum dot is the greatest energy scale. Then, we apply time-dependent Schrieffer-Wolff erturbation theory to derive a time-dependent effective two-level Hamiltonian, allowing to describe both MR and EDSR using the Floquet theory of periodically driven two-level systems. In particular, we characterise the fundamental (single-photon) and the half-harmonic (two-photon) spin transitions. We demonstrate the appearance of two-photon Rabi oscillations, and analytically calculate the fundamental and half-harmonic resonance frequencies and the corresponding Rabi frequencies. For EDSR, we find that both the fundamental and the half-harmonic resonance frequency changes upon increasing the strength of the driving electric field, which is an effect analogous to the Bloch-Siegert shift known from MR. Remarkably, the drive-strength dependent correction to the fundamental EDSR resonance frequency has an anomalous, negative sign, in contrast to the corresponding Bloch-Siegert shift in MR which is always positive. Our analytical results are supported by numerical simulations, as well as by qualitative interpretations for simple limiting cases.

16 pages, 7 figures

References in corpus (17)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• An addressable quantum dot qubit with fault-tolerant control fidelity
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Electrical control of a long-lived spin qubit in a Si/SiGe quantum dot
• Hyperfine-mediated gate-driven electron spin resonance
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Spin-Orbit Mediated Control of Spin Qubits
• Valley-spin blockade and spin resonance in carbon nanotubes
• Theory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond
• Spin dynamics in a strongly driven system: very slow Rabi oscillations
• Extreme Harmonic Generation in Electrically Driven Spin Resonance
• Resonant harmonic generation and collective spin rotations in electrically driven quantum dots
• Electric-dipole-induced spin resonance in a lateral double quantum dot incorporating two single domain nanomagnets
• Multi-level interference resonances in strongly-driven three-level systems
• Tight-binding simulations of electrically driven spin-valley transitions in carbon nanotube quantum dots
• Parametric spin excitations in lateral quantum dots

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