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.

5 figures. submitted to JETP

References in corpus (2)

• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Hyperfine interaction induced decoherence of electron spins in quantum dots

Cited by in corpus (7)

• Nuclear spin physics in quantum dots: an optical investigation
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Dynamics and decoherence in the central spin model using exact methods
• Nuclear spin dynamics, noise, squeezing and entanglement in box model
• Cross-correlation spectra in interacting quantum dot systems
• Nuclear spin polaron-formation: anisotropy effects and quantum phase transition
• Truncated Wigner approximation for the bosonic model of large spin baths