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arXiv 1102.2426cond-mat.mes-hall
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与非极化核自旋池耦合的电子自旋谱

Spectrum of an electron spin coupled to an unpolarized bath of nuclear spins

Oleksandr Tsyplyatyev, Daniel Loss

摘要:

限制在量子点中的电子自旋退相干的主要来源是与核自旋的超精细相互作用。为了从理论上分析这一过程,我们对角化的中心自旋哈密顿量在高磁场B-场的限制。然后我们将本征态投影到核浴的非极化态上,发现得到的态密度具有高斯尾。核次能级的能级间距在两个电子塞曼能级的中间是指数小的,但远离中心超指数增加。这表明当系统被投影到单个本征态上时,通过测量从分布的两翼中选择态,以减少核自旋浴的噪声。当外部磁场大于高自旋温度下的典型Overhauser场时,该理论是有效的。

英文摘要:

The main source of decoherence for an electron spin confined to a quantum dot is the hyperfine interaction with nuclear spins. To analyze this process theoretically we diagonalize the central spin Hamiltonian in the high magnetic B-field limit. Then we project the eigenstates onto an unpolarized state of the nuclear bath and find that the resulting density of states has Gaussian tails. The level spacing of the nuclear sublevels is exponentially small in the middle of each of the two electron Zeeman levels but increases super-exponentially away from the center. This suggests to select states from the wings of the distribution when the system is projected on a single eigenstate by a measurement to reduce the noise of the nuclear spin bath. This theory is valid when the external magnetic field is larger than a typical Overhauser field at high nuclear spin temperature.

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。

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