Numerical Modeling of the Central Spin Problem Using the Spin-Coherent-StatePRepresentation

2005/11/28 by K. A. Al-Hassanieh, V. V. Dobrovitski, Elbio Dagotto +2 · 9 citations
Computer Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Density matrix #Field (mathematics) #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum decoherence #Quantum mechanics #Relaxation (psychology) #Spin (aerodynamics) #Spin glass #Spins #Statistical physics #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.97.037204

5 RevTeX pages, 4 color figures

arxiv created 2005/11/28 · openalex publication_date 2006/07/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 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.

Citations

• Diagonalisation d'une classe d'hamiltoniens de spin
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots
• Note on Exchange Phenomena in the Thomas Atom

Cited by

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• Spin decoherence and electron spin bath noise of a nitrogen-vacancy center in diamond
• Spin dynamics of hopping electrons in quantum wires: Algebraic decay and noise
• Dynamical control of electron spin coherence in a quantum dot: A theoretical study
• Preparation of nonequilibrium nuclear spin states in double quantum dots
• From quantum-mechanical to classical dynamics in the central-spin model
• Role of Nuclear Quadrupole Coupling on Decoherence and Relaxation of Central Spins in Quantum Dots