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Monogamy of quantum correlations in the one-dimensional anisotropic XXXYYY model

Chinese Physics B 2014年第1期23卷 60-65页

作者：徐帅宋学科叶柳 School of Physics & Material Science Anhui University

In this paper, the monogamy properties of some quantum correlations, including the geometric quantum discord, concurrence, entanglement of formation and entropy quantum discord, in the anisotropic spin-1/2 XY model with stag- gered Dzyaloshinskii-Moriya （DM） interaction have been investigated using the quantum renormalization group （QRG） method. We summarize the monogamy relation for different quantum correlation measures and make an explicit compar- ison. Through mathematical calculations and analysis, we obtain that no matter whether the QRG steps are carried out, the monogamy of the given states are always unaltered. Moreover, we conclude that the geometric quantum discord and concurrence obey the monogamy property while other quantum correlation measures, such as entanglement of formation and quantum discord, violate it for this given model.

关键词： monogamy relation geometric quantum discord entanglement of formation entropy quantum discord

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Enhancement of quantum Correlations in Qubit-Qutrit Systems under the non-Markovian Environment

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Communications in Theoretical Physics 2017年第7期67卷 29-34页

作者： Abdul Basi Hamad Ali Fazal Badshah Guo-Qin Ge School of Physics Huazhong University of Science and Technology 1037 Luoyu Road Wuhan 430074 China

We investigate the time evolution of quantum correlations of a hybrid qubit-qutrit system under the classical Ornstein-Uhlenbeck(OU) noise. Here we consider two different one-parameter families of qubit-qutrit states which independently interact with the non-Markovian reservoirs. A comparison with the Markovian dynamics reveals that for the same set of initial condition parameters, the non-Markovian behavior of the environment plays an important role in the enhancement of the survival time of quantum correlations. In addition, it is observed that the non-Markovian strength(γ/Γ) has a positive impact on the correlations time. For the initial separable states it is found that there is a finite time interval in which the geometric quantum discord is frozen despite the presence of a noisy environment and that interval can be further prolonged by using the non-Markovian property. Moreover, its decay can be significantly delayed.

关键词： entanglement geometric quantum discord Ornstein-Uhlenbeck noise non-Markovian environ-ment

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