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Acta Optica Sinica

Photon-Added Circular States and Their Propertities

张克福 Zhang Kefu, 王中结 Wang Zhongjie

Published Jan 1, 2008• 0 citations
Publisher
DOI
10.3788/aos20082805.0992

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•Jan 1, 2018•0 citations
The excited circular states are introduced by repeated application of photon creation operator on the circular states.The sub-Poissonian distribution and squeezing effect are discussed.The results indicate that photon creation operator can enhance sub-Poissonian distribution but supress squeezing effects.The Wigner function is studied,which obviously displays its nonclassical feature.The results obtained using the numerical method indicate that the interference effects change alterantly when the exited number m takes odd and even number respectively.
A new kind of entangled coherent states-excited entangled coherent states was obtained by acting boson inverse operators on some mode of entangled coherent states.The result shows that the new states are eigenstates of the 2k-th power of the annihilation operator.Because of the entanglement between the modes of the field,the mean number of mode a increased,and the mean number of mode b changed by photon-adding.After adding photons,sub-poissonian photon statistics and violation of the Cauchy-Schwatz inequality of the fields can be enhanced obviously,but the degree of intermode anticorrelation was weakened by the photon excitations.
We investigate theoretically the nonclassical properties, such as cross correlation function and sub- Poisson distribution effect, for the nonlocal coherent photon-added two-mode circular state. The results show the superposition number and excitation number have significant effect on these properties. When the superposition number , the value of cross correlation function decreases monotonously with the increasing of the average photon number of single-mode and the nonlocal coherent photon-added two-mode circular state has the cross correlation effect. Increasing the superposition number , the cross correlation effect will be reduced. When the superposition number , sub-Poissonian distribution effect of the nonlocal coherent two-mode photon-added circular state can be observed only when single-mode average photon number is greater than a certain threshold value.