Science China Physics, Mechanics & Astronomy

, Volume 57, Issue 7, pp 1262–1265 | Cite as

Long time evolution of a spin interacting with a spin bath in arbitrary magnetic field

Letter Special Topic: Quantum Information
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Accepted:

Abstract

We introduce a completely different method to calculate the evolution of a spin interacting with a sufficient large spin bath, especially suitable for treating the central spin model in a quantum dot (QD). With only an approximation on the envelope of central spin, the symmetry can be exploited to reduce a huge Hilbert space which cannot be calculated with computers to many small ones which can be solved exactly. This method can be used to calculate spin-bath evolution for a spin bath containing many (say, 1000) spins, without a perturbative limit such as strong magnetic field condition, and works for long-time regime with sufficient accuracy. As the spin-bath evolution can be calculated for a wide range of time and magnetic field, an optimal dynamic of spin flip-flop can be found, and more sophisticated approaches to achieve extremely high polarization of nuclear spins in a QD could be developed.

Keywords

dipole-dipole interaction spin bath low-field regime long-time evolution numerical simulation 
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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Hefei National Laboratory for Physical Science at Microscale and Department of Modern PhysicsUniversity of Science and Technology of ChinaHefeiChina
  2. 2.Shandong Institute of Quantum Science & Technology Co., Ltd.JinanChina

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