Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times

Abstract

We address the decoherence of a localized electron spin in an external magnetic field due to the hyperfine interaction with a lattice of nuclear spins. Using a completely non-perturbative method, rigorous bounds on the T_1 and T_2 coherence times for the electron spin are provided. It is shown that for magnetic fields B greater than some critical field B_c (B_c ~ .001 - 2 Tesla for the systems studied here), the z-polarization of the electron spin cannot relax, and hence T_1 is infinite. However, even at high fields dephasing can still occur. We provide a lower bound on the T_2 coherence time that explicitly takes into account the effects of a spin echo pulse sequence.

23 pages, 3 figures updated references, minor revisions

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Cited by in corpus (15)

• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Preserving qubit coherence by dynamical decoupling
• Control of electron spin decoherence caused by electron-nuclear spin dynamics in a quantum dot
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Electron spin as a spectrometer of nuclear spin noise and other fluctuations
• Spin interactions, relaxation and decoherence in quantum dots
• Universal Scaling of Hyperfine-Induced Electron Spin Echo Decay
• Detecting entanglement using a double quantum dot turnstile
• Nuclear spin dynamics and Zeno effect in quantum dots and defect centers
• Measurement, control, and decay of quantum-dot spins
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dot
• Hamiltonian Switching Control of Noisy Bipartite Qubit Systems
• Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction