We apply the time-convolutionless (TCL) projection operator technique to the model of a central spin, which is coupled to a spin bath via nonuniform Heisenberg interaction. The second-order results of the TCL method for the coherences and populations of the central spin are determined analytically and compared to numerical simulations of the full von Neumann equation of the total system. The TCL approach is found to yield an excellent approximation in the strong field regime for the description of both the short-time dynamics and the long time behavior.
FERRARO, E., BREUER, H., NAPOLI, A., JIVULESCU, M.A., MESSINA, A. (2008). Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS, 78, 064309-1-064309-8 [10.1103/PhysRevB.78.064309].
Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
FERRARO, Elena;NAPOLI, Anna;JIVULESCU, Maria Anastasia;MESSINA, Antonino
2008-01-01
Abstract
We apply the time-convolutionless (TCL) projection operator technique to the model of a central spin, which is coupled to a spin bath via nonuniform Heisenberg interaction. The second-order results of the TCL method for the coherences and populations of the central spin are determined analytically and compared to numerical simulations of the full von Neumann equation of the total system. The TCL approach is found to yield an excellent approximation in the strong field regime for the description of both the short-time dynamics and the long time behavior.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.