Influence of the nuclear Zeeman effect on mode locking in pulsed semiconductor quantum dots

Abstract

The coherence of the electron spin in a semiconductor quantum dot is strongly enhanced by mode locking through nuclear focusing, where the synchronization of the electron spin to periodic pulsing is slowly transferred to the nuclear spins of the semiconductor material, mediated by the hyperfine interaction between these. The external magnetic field that drives the Larmor oscillations of the electron spin also subjects the nuclear spins to a Zeeman-like coupling, albeit a much weaker one. For typical magnetic fields used in experiments, the energy scale of the nuclear Zeeman effect is comparable to that of the hyperfine interaction, so that it is not negligible. In this work, we analyze the influence of the nuclear Zeeman effect on mode locking quantitatively. Within a perturbative framework, we calculate the Overhauser-field distribution after a prolonged period of pulsing. We find that the nuclear Zeeman effect can exchange resonant and non-resonant frequencies. We distinguish between models with a single type and with multiple types of nuclei. For the latter case, the positions of the resonances depend on the individual $g$ factors, rather than on the average value.

11 pages, 6 figures

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• Precise high-fidelity electron-nuclear spin entangling gates in NV centers via hybrid dynamical decoupling sequences
• Decay and revival of electron spin polarization in an ensemble of (In,Ga)As quantum dots
• Spin inertia and polarization recovery in quantum dots: Role of pumping strength and resonant spin amplification
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Quantum mechanical treatment of large spin baths
• Quantum Coherence from Periodic Driving with Laser Pulses and Decay
• Cross-correlation spectra in interacting quantum dot systems
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• Optical Pumping of Bardeen-Cooper-Schrieffer Superconductors
• Simulation of nonequilibrium spin dynamics in quantum dots subjected to periodic laser pulses
• Truncated Wigner approximation for the bosonic model of large spin baths
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