Nonlinear Dynamics of a two-level system of a single spin driven beyond the rotating-wave approximation

Abstract

Quantum systems driven by strong oscillating fields are the source of many interesting physical phenomena. In this work, we experimentally study the dynamics of a two-level system of a single spin driven in the strong-driving regime where the rotating-wave approximation is not valid. This two-level system is a subsystem of a single Nitrogen-Vacancy center coupled to a first-shell ${}^{13}$C nuclear spin in diamond at a level anti-crossing point that occurs in the $m_s=\pm 1$ manifold when the energy level splitting between the $m_s$ = $+1$ and $-1$ spin states due to the static magnetic field is $\approx$ 127 MHz, which is roughly equal to the spectral splitting due to the ${}^{13}$C hyperfine interaction. The transition frequency of this electron spin two-level system in a static magnetic field of 28.9 G is 1.7 MHz and it can be driven only by the $z$-component of the RF field. Electron spin Rabi frequencies in this system can reach tens of MHz even for moderate RF powers. The simple sinusoidal Rabi oscillations that occur when the amplitude of the driving field is much smaller than the transition frequency become complex when the driving field strength is comparable or greater than the energy level splitting. We observe that the system oscillates faster than the amplitude of the driving field and the response of the system shows multiple frequencies.

6 pages, 6 figures

References in corpus (8)

• Two-level systems driven by large-amplitude fields
• Strong mechanical driving of a single electron spin
• Observation of Floquet states in a strongly driven artificial atom
• Strong driving of a single spin using arbitrarily polarized fields
• Measurement of transverse hyperfine interaction by forbidden transitions
• Breaking the rotating wave approximation for a strongly-driven, dressed, single electron spin
• Characterization of hyperfine interaction between an NV electron spin and a first-shell 13C nuclear spin in diamond
• Optically detected nuclear quadrupolar interaction of 14N in nitrogen-vacancy centers in diamond

Cited by in corpus (14)

• Exact Rotating Wave Approximation
• Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
• Quantum simulation of general semi-classical Rabi model beyond strong driving regime
• Coherent two-mode dynamics of a nanowire force sensor
• Multi-photon multi-quantum transitions in the spin-3/2 silicon-vacancy centers of SiC
• Coherent manipulation of nuclear spins in the strong driving regime
• Bloch-Siegert Shift in a Hybrid Quantum Register: Quantification and Compensation
• Floquet engineering using pulse driving in a diamond two-level system under a large-amplitude modulation
• Level anti-crossings of an NV center in diamond: Decoherence-free subspaces and 3D sensors of microwave magnetic fields
• Observation of period doubling and higher multiplicities in a driven single-spin system
• Qubit guidelines for solid-state spin defects
• Thermal effects on the resonance fluorescence of doubly dressed artificial atoms
• Non-Markovian dynamics of few emitters in a laser-driven cavity
• Engineering artificial atomic systems of giant electric dipole moment