Free-induction decay and envelope modulations in a narrowed nuclear spin bath

被引：63

作者：

Coish, W. A. ^{[1
,2
,3
]}

Fischer, Jan ^{[4
]}

Loss, Daniel ^{[3
,4
]}

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] UCSB, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

[4] Univ Basel, Dept Phys, CH-4056 Basel, Switzerland

来源：

PHYSICAL REVIEW B | 2010年 / 81卷 / 16期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

SINGLE-ELECTRON SPIN; COUPLED ELECTRON; QUANTUM; RESONANCE; DYNAMICS; LOCKING; DIFFUSION; FIELD;

D O I：

10.1103/PhysRevB.81.165315

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We evaluate free-induction decay for the transverse components of a localized electron spin coupled to a bath of nuclear spins via the Fermi-contact hyperfine interaction. Our perturbative treatment is valid for special (narrowed) bath initial conditions and when the Zeeman energy of the electron b exceeds the total hyperfine coupling constant A: b > A. Using one unified and systematic method, we recover previous results reported at short and long times using different techniques. We find an unexpected modulation of the free-induction-decay envelope, which is present even for a purely isotropic hyperfine interaction without spin echoes and for a single nuclear species. We give subleading corrections to the decoherence rate, and show that, in general, the decoherence rate has a nonmonotonic dependence on electron Zeeman splitting, leading to a pronounced maximum. These results illustrate the limitations of methods that make use of leading-order effective Hamiltonians and re-exponentiation of short-time expansions for a strongly interacting system with non-Markovian (history-dependent) dynamics.

引用

页数：13

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