Numerical Modeling of the Central Spin Problem Using the Spin-Coherent-State $P$ Representation

K. A. Al-Hassanieh, V. V. Dobrovitski, E. Dagotto, and B. N. Harmon

Phys. Rev. Lett. 97, 037204 – Published 20 July 2006

Abstract

In this work, we consider decoherence of a central spin by a spin bath. In order to study the nonperturbative decoherence regimes, we develop an efficient mean-field-based method for modeling the spin-bath decoherence, based on the $P$ representation of the central spin density matrix. The method can be applied to longitudinal and transverse relaxation at different external fields. In particular, by modeling large-size quantum systems (up to 16 000 bath spins), we make controlled predictions for the slow long-time decoherence of the central spin.

Received 11 December 2005

DOI:https://doi.org/10.1103/PhysRevLett.97.037204

Authors & Affiliations

K. A. Al-Hassanieh^1,2, V. V. Dobrovitski³, E. Dagotto^1,2, and B. N. Harmon³

¹Condensed Matter Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37996, USA
²Department of Physics, University of Tennessee, Knoxville, Tennessee 37831, USA
³Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

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Vol. 97, Iss. 3 — 21 July 2006

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