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Science China Physics Mechanics and Astronomy

Effect of decoherence from a spin environment on the entanglement dynamics of two-qutrit states

Xiao-San Ma, Ming-Fan Ren, Guang-Xing Zhao, An Min Wang

Published Aug 6, 2011• 10 citations
Publisher
DOI
10.1007/s11433-011-4458-y

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We study a dynamic process of disentanglement by considering the time evolution of bound entanglement for a quantum open system, two qutrits coupling to a common environment. Here, the initial quantum correlations of the two qutrits are characterized by the bound entanglement. In order to show the universality of the role of environment on bound entanglement, both bosonic and spin environments are considered. We found that the bound entanglement displays collapses and revivals, and it can be stable against small temperature and time change. The thermal fluctuation effects on bound entanglement are also considered.
Abstract In this study, we investigate the entanglement dynamics of two qutrits under Dzyloshinsky–Moriya (DM) interaction within a spin-qubit environment, influenced by two identical time-dependent external magnetic fields described by B ( 1 − e − γ t ) . To quantify the entanglement between the two spin qutrits, we employ the Holstein–Primakoff transformation to compute the negativity measure. Our analysis reveals that the entanglement dynamics are affected by various factors, including the initial states of the spin environment and the qutrits, the system-environment coupling strength, the strength of the DM interaction, and the intensity of the external magnetic field. Notably, we find that increasing the spin coherence amplitude and the intensity of the magnetic field contributes to the stabilization of entanglement. In the weak coupling regime, an increase in the DM interaction enhances entanglement, irrespective of whether a magnetic field is present. Conversely, in the strong coupling regime, an increase in the DM interaction negatively impacts entanglement, regardless of the presence or absence of a magnetic field.