Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath

E. Ferraro, H.-P. Breuer, A. Napoli, M. A. Jivulescu, and A. Messina

Phys. Rev. B 78, 064309 – Published 27 August 2008

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.

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Received 9 May 2008

DOI:https://doi.org/10.1103/PhysRevB.78.064309

Authors & Affiliations

E. Ferraro^1,*, H.-P. Breuer^2,3,†, A. Napoli¹, M. A. Jivulescu¹, and A. Messina¹

¹Dipartimento di Scienze Fisiche ed Astronomiche, Università di Palermo, via Archirafi 36, 90123 Palermo, Italy
²Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany
³Hanse Wissenschaftskolleg, Institute for Advanced Study, D-27733 Delmenhorst, Germany

^*ferraro@fisica.unipa.it
^†breuer@physik.uni-freiburg.de

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Vol. 78, Iss. 6 — 1 August 2008

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