We construct a one-dimensional quasiperiodic quantum walk to investigate the localization–delocalization transition.The inverse participation ratio and Lyapunov exponent are employed as two indexes to determine the m...We construct a one-dimensional quasiperiodic quantum walk to investigate the localization–delocalization transition.The inverse participation ratio and Lyapunov exponent are employed as two indexes to determine the mobility edge, a critical energy to distinguish the energy regions of extended and localized states. The analytical solution of mobility edge is obtained by the Lyapunov exponents in global theory, and the consistency of the two indexes is confirmed. We further study the dynamic characteristics of the quantum walk and show that the probabilities are localized to some specific lattice sites with time evolution. This phenomenon is explained by the effective potential of the Hamiltonian which corresponds to the phase in the coin operator of the quantum walk.展开更多
SWEET(sugars will eventually be exported transporter)基因家族是一类新型的糖转运蛋白,可顺浓度梯度对糖分进行双向跨膜运输。SWEET在植物光合同化物韧皮部装载、蜜腺花蜜分泌、种子灌浆、花粉发育、病原菌互作、逆境调控等过程中...SWEET(sugars will eventually be exported transporter)基因家族是一类新型的糖转运蛋白,可顺浓度梯度对糖分进行双向跨膜运输。SWEET在植物光合同化物韧皮部装载、蜜腺花蜜分泌、种子灌浆、花粉发育、病原菌互作、逆境调控等过程中起着关键作用,近年来受到广泛关注。尽管SWEET广泛存在于植物中,但目前对其功能研究主要集中在水稻和拟南芥上。介绍了SWEET基因家族的发现、蛋白结构特征、生理功能及逆境调控的最新研究进展,有助于将来对SWEET基因家族进行更深入和全面的研究。展开更多
文摘We construct a one-dimensional quasiperiodic quantum walk to investigate the localization–delocalization transition.The inverse participation ratio and Lyapunov exponent are employed as two indexes to determine the mobility edge, a critical energy to distinguish the energy regions of extended and localized states. The analytical solution of mobility edge is obtained by the Lyapunov exponents in global theory, and the consistency of the two indexes is confirmed. We further study the dynamic characteristics of the quantum walk and show that the probabilities are localized to some specific lattice sites with time evolution. This phenomenon is explained by the effective potential of the Hamiltonian which corresponds to the phase in the coin operator of the quantum walk.
基金supported by the National Natural Science Foundation of China(21935006,22075151,and 22279064)the Fundamental Research Funds for the Central Universities of China.
文摘SWEET(sugars will eventually be exported transporter)基因家族是一类新型的糖转运蛋白,可顺浓度梯度对糖分进行双向跨膜运输。SWEET在植物光合同化物韧皮部装载、蜜腺花蜜分泌、种子灌浆、花粉发育、病原菌互作、逆境调控等过程中起着关键作用,近年来受到广泛关注。尽管SWEET广泛存在于植物中,但目前对其功能研究主要集中在水稻和拟南芥上。介绍了SWEET基因家族的发现、蛋白结构特征、生理功能及逆境调控的最新研究进展,有助于将来对SWEET基因家族进行更深入和全面的研究。
