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-  2017 

Dzyaloshinskii-Moriya相互作用和?荣魍讼喔啥匀?粒子XXZ海森堡系统的量子纠缠的影响
Effects of Dzyaloshinskii-Moriya interaction and intrinsic decoherence on quantum entanglement in a three-qubit XXZ Heisenberg system

Keywords: 量子纠缠,内禀退相干,Dzyaloshinskii-Moriya相互作用,各向异性
quantum entanglement
,intrinsic decoherence , Dzyaloshinskii-Moriya interaction,anisotropy

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Abstract:

根据Milburn理论, 研究了考虑内禀退相干情况下, 三粒子XXZ海森堡系统在Dzyaloshinskii-Moriya(DM)相互作用和各向异性参数的影响下的量子纠缠演化特性。 分析了不同DM相互作用和?荣魍讼喔梢蜃拥炔问?对量子对纠缠度的影响。 研究表明: 系统的对纠缠度与各向异性参数Δ关, 但DM相互作用和?荣魍讼喔啥级韵低车亩跃啦?都有明显的影响。 当DM相互作用只存在?荣魍讼喔墒保? 系统的三对对纠缠度各不相同; 引入DM相互作用后, 系统的对纠缠度的稳定值将改变; 选择合适的DM相互作用参数时, 系统的对纠缠度随时间做震荡, 随着时间的延长, 震荡减弱至一个非零的稳定值; 并且系统的对纠缠随?荣魍讼喔稍龃螅? 震荡幅度变小, 震荡时间变短。 因此, 在?荣魍讼喔纱嬖谑保? 合适的DM相互作用参数可以有效的控制对纠缠。
According to the theory of Milburn and considering the intrinsic decoherence cases, the dynamic evolution of quantum entanglement of a three-qubit XXZ Heisenberg system under the influence of Dzyaloshinskii-Moriya (DM) interaction and anisotropy is investigated. The influences of different DM interactions and intrinsic decoherences on the quantum of the concurrence are analyzed in detail. The research shows that the system entanglement has nothing to do with anisotropy , but suffers from not only the DM interaction but also the intrinsic decoherence. With no DM interaction but intrinsic decoherence, the three pairs of system of pairwise entanglement are different from one other; After the introduction of DM interaction, the stable value of the system of concurrence will be changed; When DM interaction is in certain scope, the system of concurrence can achieve a stable nonzero value over time; When DM interaction is constant, the system of concurrence do shocks over time and with time goes by, the shock will weaken to a stable nonzero values; What’s more, with the increase of intrinsic decoherence, the oscillation amplitude of system of concurrence will decrease and the oscillation time will shorten.Therefore, appropriate DM interaction parameters can effectively control the concurrence with the help of intrinsic decoherence.

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