Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up ...Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up a complete and partly nonorthogonal representation. Using a beam splitter, we propose a simple experimental scheme to produce the CES. Finally~ we present some applications of CESs in quantum optics.展开更多
The relationship between the convergence ball of the Euler iteration in Banach Spaces and itsexclusive fixed points on Riemann spheres is investigated. By using an exclusive fixed point of the Euleriteration, the conv...The relationship between the convergence ball of the Euler iteration in Banach Spaces and itsexclusive fixed points on Riemann spheres is investigated. By using an exclusive fixed point of the Euleriteration, the convergence ball is determined accurately for a class of operators whose derivatives satisfy somegeneralized Lipschitz condition on Banach spaces.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 10574060)the Natural Science Foundation of Shandong Province,China (Grant Nos. Y2008A23 and ZR2010AQ027)the Shandong Provincial Higher Educational Science and Technology Program,China (Grant Nos. J09LA07 and J10LA15)
文摘Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up a complete and partly nonorthogonal representation. Using a beam splitter, we propose a simple experimental scheme to produce the CES. Finally~ we present some applications of CESs in quantum optics.
基金This work was supported by the Special Funds for Major State Basic Research Projects(Grant No.G19990328) the National Natural Science Foundation of China(Grant No.19971013) also supported partly by Zhejiang Provincial Natural Science Foundation o
文摘The relationship between the convergence ball of the Euler iteration in Banach Spaces and itsexclusive fixed points on Riemann spheres is investigated. By using an exclusive fixed point of the Euleriteration, the convergence ball is determined accurately for a class of operators whose derivatives satisfy somegeneralized Lipschitz condition on Banach spaces.
