Spin decoherence due to a randomly fluctuating spin bath

Abstract

We study the decoherence of a spin in a quantum dot due to its hyperfine coupling to a randomly fluctuating bath of nuclear spins. The system is modelled by the central spin model with the spin bath initially being at infinite temperature. We calculate the spectrum and time evolution of the coherence factor using a Monte Carlo sampling of the exact eigenstates obtained via the algebraic Bethe ansatz. The exactness of the obtained eigenstates allows us to study the non-perturbative regime of weak magnetic fields in a full quantum mechanical treatment. In particular, we find a large non-decaying fraction in the zero-field limit. The crossover from strong to weak fields is similar to the decoherence starting from a pure initial bath state treated previously. We compare our results to a simple semiclassical picture [Merkulov et al., Phys. Rev. B 65, 205309 (2002)] and find surprisingly good agreement. Finally, we discuss the effect of weakly coupled spins and show that they will eventually lead to complete decoherence.

References in corpus (16)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Spin-echo of a single electron spin in a quantum dot
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Exact dynamics in the inhomogeneous central-spin model
• Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
• Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
• Nonperturbative master equation solution of central spin dephasing dynamics
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Exponential decay in a spin bath
• Dynamics and decoherence in the central spin model using exact methods
• On the determinant representations of Gaudin models' scalar products and form factors
• Spin echo decay at low magnetic fields in a nuclear spin bath
• Non-equilibrum dynamics in the strongly excited inhomogeneous Dicke model

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