Exponential decay in a spin bath

被引:68
作者
Coish, W. A. [1 ,2 ,3 ]
Fischer, Jan [3 ]
Loss, Daniel [3 ]
机构
[1] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
[2] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
[3] Univ Basel, Dept Phys, CH-4056 Basel, Switzerland
来源
PHYSICAL REVIEW B | 2008年 / 77卷 / 12期
关键词
D O I
10.1103/PhysRevB.77.125329
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We show that the coherence of an electron spin interacting with a bath of nuclear spins can exhibit a well-defined purely exponential decay for special ("narrowed") bath initial conditions in the presence of a strong applied magnetic field. This is in contrast to the typical case, where spin-bath dynamics have been investigated in the non-Markovian limit, giving superexponential or power-law decay of correlation functions. We calculate the relevant decoherence time T-2 explicitly for free-induction decay and find a simple expression with dependence on bath polarization, magnetic field, shape of the electron wave function, dimensionality, total nuclear spin I, and isotopic concentration for experimentally relevant heteronuclear-spin systems.
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页数:8
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