Exactly solvable spin dynamics of an electron coupled to large number of nuclei and the electron-nuclear spin echo in a quantum dot

Abstract

The model considered in the paper is used nowadays to describe spin dynamics of quantum dots after optical excitation. Based on the exact diagonalization of a model Hamiltonian, we solve the problems of the electron spin polarization decay and magnetic field dependence of the steady state polarization. The important role of the nuclear state is shown and methods of its calculation for different regimes of optical excitation are proposed. The effect of spin echo observed after application of the magnetic field $\pi$-pulse is predicted.

arXiv comment5 figures. submitted to JETP

References in corpus (10)

• Electron spin relaxation by nuclei in semiconductor quantum dots
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Electron spin evolution induced by interaction with nuclei in a quantum dot
• Enhancement of electron spin coherence by optical preparation of nuclear spins
• Analytical Solution of Electron Spin Decoherence Through Hyperfine Interaction in a Quantum Dot
• Hyperfine interaction induced decoherence of electron spins in quantum dots
• Evolution of a localized electron spin in a nuclear spin environment
• Effect of external magnetic field on electron spin dephasing induced by hyperfine interaction in quantum dots
• Nuclear spin diffusion in semiconductor nanostructures: Effects of inhomogeneous hyperfine interactions

Cited by in corpus (15)

• Nuclear spin physics in quantum dots: an optical investigation
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Coherent spin dynamics of electrons and excitons in nanostructures
• Dynamics and decoherence in the central spin model using exact methods
• Electron spin synchronization induced by optical nuclear magnetic resonance feedback
• Long-term Dynamics of the Electron-nuclear Spin System of a Semiconductor Quantum Dot
• Nuclear spin dynamics, noise, squeezing and entanglement in box model
• Nuclear Spin Noise in the Central Spin Model
• Hanle effect in (In,Ga)As quantum dots: Role of nuclear spin fluctuations
• Quantum limit for nuclear spin polarization in semiconductor quantum dots
• The nuclear polaron beyond the mean-field approximation
• Cross-correlation spectra in interacting quantum dot systems
• A solvable quantum model of dynamic nuclear polarization in quantum dots
• Truncated Wigner approximation for the bosonic model of large spin baths
• Nuclear spin polaron-formation: anisotropy effects and quantum phase transition