Spin noise in a quantum dot ensemble: from a quantum mechanical to a semi-classical description

Abstract

Spin noise spectroscopy is a promising technique for revealing the microscopic nature of spin dephasing processes in quantum dots. We compare the spin-noise in an ensemble of singly charged quantum dots calculated by two complementary approaches. The Chebyshev polynomial expansion technique (CET) accounts for the full quantum mechanical fluctuation of the nuclear spin bath and a semi-classical approach (SCA) is based on the averaging the electron spin dynamics over all different static Overhauser field configurations. We observe a remarkable agreement between both methods in the high-frequency part of the spectra, while the low-frequency part is determined by the long time fluctuations of the Overhauser field. We find small differences in the spectra depending on the distribution of hyperfine couplings. The spin-noise spectra in strong enough magnetic fields where the nuclear dynamics is quenched calculated by two complimentary approaches are in perfect agreement.

arXiv comment6 pages, 3 figures

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Cited by in corpus (13)

• The Theory of Spin Noise Spectroscopy: A Review
• Spin noise of electrons and holes in (In,Ga)As quantum dots: experiment and theory
• From quantum-mechanical to classical dynamics in the central-spin model
• Spin noise of localized electrons interacting with optically cooled nuclei
• Nuclear spin dynamics, noise, squeezing and entanglement in box model
• Optical measurement of electron spins in quantum dots: Quantum Zeno effects
• Quantum mechanical treatment of large spin baths
• Universal power law decay of spin polarization in double quantum dot
• Cross-correlation spectra in interacting quantum dot systems
• Evolution of the inhomogeneously-broadened spin noise spectrum with ac drive
• Tuning the nuclei-induced spin relaxation of localized electrons by the quantum Zeno and anti-Zeno effects
• Kinetic approach to the nuclear-spin polaron formation
• Anomalous behavior of control pulses in presence of noise with singular autocorrelation