Exponential decay in a spin bath

2007/10/31 by W. A. Coish, Jan Fischer, Daniel Loss · 5 citations
Mathematics · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Condensed matter physics #Electron #Exponential decay #Exponential function #Free induction decay #Heteronuclear molecule #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum decoherence #Quantum mechanics #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Spin echo #Spin polarization #Spins #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.77.125329

published as Phys. Rev. B 77, 125329 (2008) · 4+ pages, 3 figures; v2: 9 pages, 3 figures (added four appendices with extensive technical details, version to appear in Phys. Rev. B)

arxiv created 2008/02/12 · openalex publication_date 2008/03/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 T₂ 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.

Citations

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Related

• Decoherence in the Spin Bath
• Nonperturbative bounds on electron spin coherence times induced by hyperfine interactions
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