Dynamical Wobbulations of Electronic Spin States in a Rashba Isotropic 2D Quantum Dot

In this article we present the time evolution of the electronic spin states, along with the subbands, of an electron in an isotropic 2D Rashba quantum dot, to which a magnetic field of arbitrary strength is applied. We also explicitly include the confining (gate) effects as a two dimensional isotropic harmonic oscillator. Going to Fock-Darwin representation enables us to calculate the time evolution of the initial state, leading to spin and subband averages as functions of time. Our results indicate that the spin, on the average, precesses along the magnetic field, with intrinsic wobbulations, while the subbands averages undergo periodic collapse-revivals'. Physical reasons for such behavior are also given in detail.