Abstract
The dynamics of a single localized electron spin in solid structure, such as electrons bound to phosphorus donors in silicon, NV centers in diamond or semiconductor quantum dots has attracted in the last years the attention of many physicists both from a theoretical and experimental point of view. These systems are often modelled by disordered spin star systems when a single spin interacts with different coupling constants with N uncoupled identical spins[1-2]. In this poster I present the exact dynamics of such a system based on the resolution of the time-dependent Schrodinger equation starting from arbitrary initial spin configuration[3-5]. Some numerical applications corresponding to specific initial conditions are discussed. References [1] H.P. Breuer, D. Burgarth, F. Petruccione, Phys. Rev. B 70, 045323, (2004) [2] E. Ferraro, A. Napoli, M. A. Jivulescu, A. Messina, EPJ Special Topics (2008) (in press) [3] R.A. Horn, C. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991 [4] L.M. Woods, T.L. Reinecke, A.K. Rajagopal, Phys. Rev. B 77, 073313 (2008) [5] A.K. Rajagopal, quant-ph/0602092 (2006)