Long-time coherence in fourth-order spin correlation functions

Abstract

We study the long-time decay of fourth-order electron spin correlation functions for an isolated singly charged semi-conductor quantum dot. The electron spin dynamics is governed by the applied external magnetic field as well as the hyperfine interaction. While the long-time coherent oscillations in the correlation functions can be understood within an semi-classical approach treating the Overhauser field as frozen, the field dependent decay of its amplitude reported in different experiments cannot be explained by the central-spin model indicating the insufficiency of such a description. By incorporating the nuclear Zeeman splitting and the strain induced nuclear-electric quadrupolar interaction, we find the correct crossover from a fast decay in small magnetic fields to a slow exponential asymptotic in large magnetic fields. It originates from a competition between the quadrupolar interaction inducing an enhanced spin decay and the nuclear Zeeman term that suppressed the spin-flip processes. We are able to explain the magnetic field dependency of the characteristic long-time decay time $T_2$ depending on the experimental setups. The calculated asymptotic values of $T_2=3-4\mu$s agree qualitatively well with the experimental data.

13 pages, 9 figures

References in corpus (10)

• The numerical renormalization group method for quantum impurity systems
• The Kernel Polynomial Method
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Spin noise in quantum dot ensembles
• Advanced Finite-Temperature Lanczos Method for anisotropic spin systems
• Nuclear magnetic resonance inverse spectra of InGaAs quantum dots: Atomistic level structural information

Cited by in corpus (10)

• Recovery of Damaged Information and the Out-of-Time-Ordered Correlators
• Non-equilibrium nuclear spin distribution function in quantum dots subject to periodic pulses
• Magnetic field dependence of the electron spin revival amplitude in periodically pulsed quantum dots
• Quench dynamics of spin in quantum dots coupled to spin-polarized leads
• Nuclear Spin Noise in the Central Spin Model
• 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
• Signatures of long-range spin-spin interactions in an (In,Ga)As quantum dot ensemble
• Fourth-order spin correlation function in the extended central spin model