Nonperturbative master equation solution of central spin dephasing dynamics

Abstract

We solve the long-standing central spin problem for a general set of inhomogeneous bath couplings and a large class of initial bath states. We compute the time evolution of the coherence of a central spin coupled to a spin bath by resumming all orders of the time-convolutionless master equation, thus avoiding the need to assume weak coupling to the bath. The fully quantum, non-Markovian solution is obtained in the large-bath limit and is valid up to a timescale set by the largest coupling constant. Our result captures the full decoherence of an electron spin qubit coupled to a nuclear spin bath in a GaAs quantum dot for experimentally relevant parameters. In addition, our solution is quite compact and can readily be used to make quantitative predictions for the decoherence process and to guide the design of nuclear state preparation protocols.

5 pages, 3 figures, v2: new 4-page supplement added, PRL version

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Cited by in corpus (14)

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• Harnessing non-Markovian quantum memory by environmental coupling
• From quantum-mechanical to classical dynamics in the central-spin model
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Competing interactions in semiconductor quantum dots
• Spin noise of localized electrons interacting with optically cooled nuclei
• Non-Markovian dynamics in the extended cluster spin-1/2 XX chain
• Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach
• Theory of box-model hyperfine couplings and transport signatures of long-range nuclear-spin coherence in a quantum-dot spin valve
• Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays
• Error distributions on large entangled states with non-Markovian dynamics
• Markovian and Non-Markovian dynamics in the one-dimensional transverse-field XY model