arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0911.4149cond-mat.mes-hallquant-ph
收藏

窄核自旋池中的自由感应衰变和包络调制

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

W. A. Coish, Jan Fischer, Daniel Loss

摘要:

我们评估的自由感应衰减的横向分量的本地化电子自旋耦合到一个浴的核自旋通过费米接触超精细相互作用。我们的微扰处理是有效的特殊(窄)浴初始条件和当塞曼能量的电子$b$超过总超精细耦合常数$A$:$b>A$。使用一个统一的和系统的方法,我们恢复以前的结果报告在短期和长期使用不同的技术。我们发现了一个新的和意想不到的调制的自由感应衰变信封,这是目前即使是一个纯粹的各向同性超精细相互作用没有自旋回波和一个单一的核物种。我们给子领导的退相干率的修正,并表明,在一般情况下,退相干率有一个非单调依赖于电子塞曼分裂,导致一个明显的最大值。这些结果说明了方法的局限性,利用领导阶有效的哈密顿量和重指数的短时间扩展的强相互作用系统与非马尔可夫(历史依赖)的动态。

英文摘要:

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 a new and 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 sub-leading corrections to the decoherence rate, and show that, in general, the decoherence rate has a non-monotonic 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑