Quantum Correlations in Infinite XY Spin-1/2 Chains and Quantum Phase Transition

We examine the ability of quantum discord (QD) and entanglements (concurrence, EoF and negativity) to detect the critical points associated to quantum phase transitions (QPTs) for XY models, i.e., the isotropic XY model with three-spin interactions at zero temperature, and the anisotropic XY model in a transverse magnetic field h at finite temperatures. For the case of zero temperature, we found that both entanglements and QD can spotlight the critical points of QPTs for these two models. Moreover, QD versus distance M exhibits the long-range behavior of quantum correlation for the anisotropic XY model, while entanglement is short-ranged. For the case of finite temperatures, we found that negativity has the same behaviors with concurrence at or near transition points. Moreover, QD for the anisotropic XY model can increase with temperature even in the absence of a magnetic field.     

退相位环境下Werner态在石墨烯基量子通道中的隐形传输

基于有效低能理论,研究了退相位环境下Werner态在石墨烯基量子通道中的隐形传输.结果表明,输出态纠缠度总是随着输入态纠缠度的增大而增大,而相应的保真度却正好相反;对于给定的输入态,量子通道中的纠缠越大,输出态的品质就越高.对于石墨烯基量子通道,低温和弱库仑排斥势可以减缓其纠缠资源在退相位环境中的衰减,且温度低于40 K,电子间库仑排斥势小于6 eV时,输出态的平均保真度可以达到80%以上.这就说明石墨烯材料在量子信息领域中具有潜在的应用价值.     

Entanglement and quantum phase transition in the Heisenberg-Ising model

We use the quantum renormalization-group(QRG) method to study the entanglement and quantum phase transition(QPT) in the one-dimensional spin-1/2 Heisenberg-Ising model [Lieb E,Schultz T and Mattis D 1961 Ann.Phys.(N.Y.) 16 407].We find the quantum phase boundary of this model by investigating the evolution of concurrence in terms of QRG iterations.We also investigate the scaling behavior of the system close to the quantum critical point,which shows that the minimum value of the first derivative of concurrence and the position of the minimum scale with an exponent of the system size.Also,the first derivative of concurrence between two blocks diverges at the quantum critical point,which is directly associated with the divergence of the correlation length.