Theory of electron spin decoherence by interacting nuclear spins in a quantum dot

By W. Yao, Renbao Liu, L. Sham. 2005

222 citations recorded by the source corpus.

We present a quantum solution to the electron spin decoherence by a nuclear pair-correlation method for the electron-nuclear spin dynamics under a strong magnetic field and a temperature high for the nuclear spins but low for the electron. The theory incorporates the hyperfine interaction, the intrinsic (both direct and indirect) nuclear interactions, and the extrinsic nuclear coupling mediated by the hyperfine interaction with the single electron in question. The last is shown to be important in free-induction decay (FID) of the single electron spin coherence. The spin-echo eliminates the hyperfine-mediated decoherence but only reduces the decoherence by the intrinsic nuclear interactions. Thus, the decoherence times for single spin FID and ensemble spin-echo are significantly different. The decoherence is explained in terms of quantum entanglement, which involves more than the spectral diffusion.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/689d5ce8997a6fa16c461e4eaa221857afec3122

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Dephasing time of GaAs electron-spin qubits coupled to a nuclear bath exceeding 200 μs (2011, background): “Recent theoretical studies of decoherence due to the hyperfine interactio”
Ultrafast optical spin echo in a single quantum dot (2010, unknown): “Higherorder processes such as hyperfine-mediated nuclear spin interactions are not expected for spin-echo at these magnetic fields [24].”
Storing quantum information for 30 seconds in a nanoelectronic device. (2014, background): “The solid-state environment, however, may provide deleterious interactions between the qubit and the nuclear spins of surrounding atoms [3], or charge and spin fluctuators in defects, oxides and interfaces [4].”
Silicon quantum electronics (2012, methodology): “Quantum mechanical solutions of the dynamics of electron spins in a nuclear bath included nuclear spin pair correlations (Yao et al., 2006), all the way to higher-order cluster-expansion techniques (Witzel and Das Sarma, 2006; Witzel et al., 2005).”