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.

arXiv comment16 pages, 7 figures

References in corpus (35)

• 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
• Spin-orbit qubit in a semiconductor nanowire
• 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
• Electric Dipole Induced Spin Resonance in Quantum Dots
• Coherent single electron spin control in a slanting Zeeman field
• Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires
• Universality of the Kondo Effect in a Quantum Dot out of Equilibrium
• Hyperfine-mediated gate-driven electron spin resonance
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Electrical control over single hole spins in nanowire quantum dots
• A valley-spin qubit in a carbon nanotube
• Spin-Orbit Mediated Control of Spin Qubits
• Field Tuning the G-Factor in InAs Nanowire Double Quantum Dots
• Dynamical spin-electric coupling in a quantum dot
• Valley-spin blockade and spin resonance in carbon nanotubes
• Electrically driven spin resonance in silicon carbide color centers
• 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
• Controlling a Nanowire Spin-Orbit Qubit via Electric-Dipole Spin Resonance
• Non-linear response of a Kondo system: Perturbation approach to the time dependent Anderson impurity model
• Extreme Harmonic Generation in Electrically Driven Spin Resonance
• A new mechanism of electric dipole spin resonance: hyperfine coupling in quantum dots
• Resonant harmonic generation and collective spin rotations in electrically driven quantum dots
• Electric-field Manipulation of the Lande' g Tensor of Holes in In0.5Ga0.5As/GaAs Self-assembled Quantum Dots
• Electric-field control of a hydrogenic donor's spin in a semiconductor
• 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
• Maximal Rabi frequency of an electrically driven spin in a disordered magnetic field
• Mechanism of half-frequency electric dipole spin resonance in double quantum dots: Effect of nonlinear charge dynamics inside the singlet manifold
• 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
• Parametric spin excitations in lateral quantum dots

Cited by in corpus (41)

• Achieving High-Fidelity Single-Qubit Gates in a Strongly Driven Charge Qubit with $1/f$ Charge Noise
• Floquet spectroscopy of a strongly driven quantum dot charge qubit with a microwave resonator
• Impurity-assisted electric control of spin-valley qubits in monolayer MoS${}_2$
• Quantum Computing with Acceptor Spins in Silicon
• Qubit-based memcapacitors and meminductors
• Nonlinear response and crosstalk of electrically driven silicon spin qubits
• Blueprint for quantum computing using electrons on helium
• Charge noise and overdrive errors in reflectometry-based charge, spin and Majorana qubit readout
• Electric Dipole Spin Resonance of 2D Semiconductor Spin Qubits
• Fast control of semiconductor qubits beyond the rotating-wave approximation
• Bichromatic Rabi Control of Semiconductor Qubits
• Programmable two-qubit gates in capacitively coupled flopping-mode spin qubits
• Low-Error Operation of Spin Qubits with Superexchange Coupling
• Spin rotation by resonant electric field in few-level quantum dots: Floquet dynamics and tunneling
• Entanglement control and magic angles for acceptor qubits in Si
• Robust photon-mediated entangling gates between quantum dot spin qubits
• The impacts of the quantum-dot confining potential on the spin-orbit effect
• Two-photon absorption in a two-level system enabled by noise
• Electric dipole spin resonance at shallow donors in quantum wires
• Control of a spin qubit in a lateral GaAs quantum dot based on symmetry of gating potential
• Non-perturbative analytical diagonalization of Hamiltonians with application to coupling suppression and enhancement in cQED
• Pymablock: an algorithm and a package for quasi-degenerate perturbation theory
• Fast high-fidelity single-qubit gates for flip-flop qubits in silicon
• A spin dephasing mechanism mediated by the interplay between the spin-orbit coupling and the asymmetrical confining potential in semiconductor quantum dot
• Charge noise induced spin dephasing in a nanowire double quantum dot with spin-orbit coupling
• Hyperfine-assisted fast electric control of dopant nuclear spins in semiconductors
• Electric-field-induced interferometric resonance of a one-dimensional spin-orbit-coupled electron
• Observation of period doubling and higher multiplicities in a driven single-spin system
• Fast electron spin flips via strong subcycle electric excitation
• 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
• Electrical manipulation of a hole `spin'-orbit qubit in nanowire quantum dot: the nontrivial magnetic field effects
• Spin-valley dynamics of electrically driven ambipolar carbon-nanotube quantum dots
• Spin manipulation and spin dephasing in quantum dot integrated with a slanting magnetic field
• Hyperfine interaction mediated electric-dipole spin resonance: the role of frequency modulation
• Spin-photon interaction in a nanowire quantum dot with asymmetrical confining potential
• Theory of Multi-photon Processes for Applications in Quantum Control
• Limitations of the $g$-tensor formalism of semiconductor spin qubits
• Searching strong `spin'-orbit coupled one-dimensional hole gas in strong magnetic fields
• Electrically driven spin resonance with bichromatic driving
• Non-Bloch-Siegert-type power-induced shift of two-photon electron paramagnetic resonances of charge-carrier spin states in an OLED