From quantum-mechanical to classical dynamics in the central-spin model

Daniel Stanek, Carsten Raas, and Götz S. Uhrig
Phys. Rev. B 90, 064301 – Published 4 August 2014

Abstract

We discuss the semiclassical and classical character of the dynamics of a single spin 1/2 coupled to a bath of noninteracting spins 1/2. On the semiclassical level, we extend our previous approach presented in D. Stanek, C. Raas, and G. S. Uhrig, Phys. Rev. B 88, 155305 (2013) by the explicit consideration of the conservation of the total spin. On the classical level, we compare the results of the classical equations of motions in absence and presence of an external field to the full quantum result obtained by density-matrix renormalization (DMRG). We show that for large bath sizes and not too low magnetic field the classical dynamics, averaged over Gaussian distributed initial spin vectors, agrees quantitatively with the quantum-mechanical one. This observation paves the way for an efficient approach for certain parameter regimes.

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  • Received 28 May 2014

DOI:https://doi.org/10.1103/PhysRevB.90.064301

©2014 American Physical Society

Authors & Affiliations

Daniel Stanek, Carsten Raas, and Götz S. Uhrig*

  • Lehrstuhl für Theoretische Physik I, Technische Universität Dortmund, 44221 Dortmund, Germany

  • *goetz.uhrig@tu-dortmund.de

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Vol. 90, Iss. 6 — 1 August 2014

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