Title :
Non-Markovian master equation for the XX central spin model
Author :
Ferraro, E. ; Breuer, H.-P. ; Napoli, A. ; Guccione, M. ; Messina, A.
Author_Institution :
Dipt. di Sci. Fisiche ed Astronomiche, Univ. di Palermo, Palermo
Abstract :
The non-Markovian correlated projection operator technique is applied to the model of a central spin coupled to a spin bath through non uniform XX Heisenberg coupling. The second order results of the Nakajima-Zwanzig and of the time-convolutionless methods are compared with the exact solution considering a fully polarized initial bath state.
Keywords :
Heisenberg model; master equation; spin systems; Heisenberg coupling; Nakajima-Zwanzig methods; XX central spin model; nonMarkovian correlated projection operator; nonMarkovian master equation; spin bath; time-convolutionless methods; Differential equations; Electrons; Gases; Integrodifferential equations; Lattices; Physics; Polarization; Quantum dots; Solid modeling; Solid state circuits; central spin model; master equation; non-Markovian dynamics;
Conference_Titel :
Mediterranean Winter, 2008. ICTON-MW 2008. 2nd ICTON
Conference_Location :
Marrakech
Print_ISBN :
978-1-4244-3484-8
Electronic_ISBN :
978-1-4244-3485-5
DOI :
10.1109/ICTONMW.2008.4773079
