Non-equilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

Abstract

Electron spin dephasing in a singly charged semiconductor quantum dot can partially be suppressed by periodic laser pulsing. We propose a semi-classical approach describing the decoherence of the electron spin polarization governed by the hyperfine interaction with the nuclear spins as well as the probabilistic nature of the photon absorption. We use the steady-state Floquet condition to analytically derive two subclasses of resonance conditions excellently predicting the peak locations in the part of the Overhauser field distribution which is projected in the direction of the external magnetic field. As a consequence of the periodic pulsing, a non-equilibrium distribution develops as a function of time. The numerical simulation of the coupled dynamics reveals the influence of the hyperfine coupling constant distribution onto the evolution of the electron spin polarisation before the next laser pulse. Experimental indications are provided for both subclasses of resonance conditions.

21 pages, 21 figures

References in corpus (29)

• The density-matrix renormalization group in the age of matrix product states
• Spins in few-electron quantum dots
• Single-shot read-out of an individual electron spin in a quantum dot
• The Kernel Polynomial Method
• Electron spin relaxation by nuclei in semiconductor quantum dots
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Nuclear spin physics in quantum dots: an optical investigation
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
• Optical control of spin coherence in singly charged (In,Ga)As/GaAs quantum dots
• Exact dynamics in the inhomogeneous central-spin model
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Spin decoherence due to a randomly fluctuating spin bath
• Role of Nuclear Quadrupole Coupling on Decoherence and Relaxation of Central Spins in Quantum Dots
• Quadrupolar spectra of nuclear spins in strained InGaAs quantum dots
• Spin noise in quantum dot ensembles
• Control of the direction and rate of nuclear spin flips in InAs quantum dots using detuned optical pulse trains
• Dynamics and decoherence in the central spin model in the low-field limit
• Spin-noise in the anisotropic central spin model
• Spin noise of electrons and holes in (In,Ga)As quantum dots: experiment and theory
• Influcence of the nuclear electric quadrupolar interaction on the coherence time of hole- and electron-spins confined in semiconductor quantum dots
• Electron spin synchronization induced by optical nuclear magnetic resonance feedback
• Quantum model for mode locking in pulsed semiconductor quantum dots
• Influence of the nuclear Zeeman effect on mode locking in pulsed semiconductor quantum dots
• Multitudes of Stable States in a Periodically Driven Electron-Nuclear Spin System in a Quantum Dot
• Persisting correlations of a central spin coupled to large spin baths
• Optical control of coherent interactions between quantum dot electron spins
• Efficient algorithms for the dynamics of large and infinite classical central spin models
• Long-time coherence in fourth-order spin correlation functions

Cited by in corpus (19)

• Magnetic field dependence of the electron spin revival amplitude in periodically pulsed quantum dots
• Nuclear frequency focusing in periodically pulsed semiconductor quantum dots described by infinite classical central spin models
• Decay and revival of electron spin polarization in an ensemble of (In,Ga)As quantum dots
• Precise high-fidelity electron-nuclear spin entangling gates in NV centers via hybrid dynamical decoupling sequences
• Nuclear Spin Noise in the Central Spin Model
• 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
• Cross-correlation spectra in interacting quantum dot systems
• Quantum Coherence from Periodic Driving with Laser Pulses and Decay
• Fourth-order spin correlation function in the extended central spin model
• Driven dynamics of a quantum dot electron spin coupled to bath of higher-spin nuclei
• Signatures of long-range spin-spin interactions in an (In,Ga)As quantum dot ensemble
• Nuclear magnetic resonance spectroscopy of nonequilibrium steady states in quantum dots
• Anomalous magnetic suppression of spin relaxation in a two-dimensional electron gas in a GaAs/AlGaAs quantum well
• Electron Spin Noise under the Conditions of Nuclei Induced Frequency Focusing
• Simulation of nonequilibrium spin dynamics in quantum dots subjected to periodic laser pulses
• Optical Pumping of Bardeen-Cooper-Schrieffer Superconductors
• Influence of quadrupolar interaction on NMR spectroscopy