Numerical modeling of the central spin problem using the spin coherent states P-representation

Details Numerical modeling of the central spin problem using the spin coherent states P-representation Numerical modeling of the central spin problem using the spin coherent states P-representation

2005-11-28

arxiv.org/abs/cond-mat/0511681v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 RevTeX pages, 4 color figures

Scientific paper

10.1103/PhysRevLett.97.037204

In this work, we consider decoherence of a central spin by a spin bath. In order to study the non-perturbative 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 transversal relaxation at different external fields. In particular, by modeling large-size quantum systems (up to 16000 bath spins), we make controlled predictions for the slow long-time decoherence of the central spin.

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