Exponential decay in a spin bath

Details Exponential decay in a spin bath Exponential decay in a spin bath

2007-10-19

arxiv.org/abs/0710.3762v2

Phys. Rev. B 77, 125329 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures; v2: 9 pages, 3 figures (added four appendices with extensive technical details, version to appear in Phys

Scientific paper

10.1103/PhysRevB.77.125329

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 super-exponential 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, the shape of the electron wave function, dimensionality, total nuclear spin I, and isotopic concentration for experimentally relevant heteronuclear spin systems.

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