Nuclear Spin Noise in the Central Spin Model

Abstract

We study theoretically the spin fluctuations of nuclei in quantum dots. We employ the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. We present an analytical solution in the frame of the box model approximation where all hyperfine coupling constants are assumed to be equal. These results are in good agreement with numerical simulations. We demonstrate that in rather high magnetic field the nuclear spin noise spectra has a two-peak structure centered at the nuclear Zeeman frequency with the shape of the spectrum controlled by the distribution of the hyperfine constants.

9 pages, 10 figures

References in corpus (10)

• The Kernel Polynomial Method
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Exact dynamics in the inhomogeneous central-spin model
• Spin noise in quantum dot ensembles
• Spin- and entanglement-dynamics in the central spin model with homogeneous couplings
• Non-equilibrium nuclear spin distribution function in quantum dots subject to periodic pulses
• Exactly solvable spin dynamics of an electron coupled to large number of nuclei and the electron-nuclear spin echo in a quantum dot
• Spin noise of localized electrons interacting with optically cooled nuclei

Cited by in corpus (11)

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• Precise high-fidelity electron-nuclear spin entangling gates in NV centers via hybrid dynamical decoupling sequences
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Digital quantum simulation of the BCS model with a central-spin-like quantum processor
• Cross-correlation spectra in interacting quantum dot systems
• Electric current noise in mesoscopic organic semiconductors
• Andreev spin-noise detector
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• Extending Qubit Coherence Time via Hybrid Dynamical Decoupling
• Truncated Wigner approximation for the bosonic model of large spin baths