Influence of an external magnetic field on the decoherence of a central spin coupled to an antiferromagnetic environment

Abstract

Using the spin wave approximation, we study the decoherence dynamics of a central spin coupled to an antiferromagnetic environment under the application of an external global magnetic field. The external magnetic field affects the decoherence process through its effect on the antiferromagnetic environment. It is shown explicitly that the decoherence factor which displays a Gaussian decay with time depends on the strength of the external magnetic field and the crystal anisotropy field in the antiferromagnetic environment. When the values of the external magnetic field is increased to the critical field point at which the spin-flop transition (a first-order quantum phase transition) happens in the antiferromagnetic environment, the decoherence of the central spin reaches its highest point. This result is consistent with several recent quantum phase transition witness studies. The influences of the environmental temperature on the decoherence behavior of the central spin are also investigated.

arXiv comment29 preprint pages, 4 figures, to appear in New Journal of Physics

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• Induced decoherence and entanglement by interacting quantum spin baths
• Decoherence-free subspace and disentanglement dynamics for two qubits in a common non-Markovian squeezed reservoir
• High-dimensional quantum state transfer in a noisy network environment
• Geometric phase of a central spin coupled to an antiferromagnetic environment
• Dynamics of a driven spin coupled to an antiferromagnetic spin bath