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Communications in Theoretical Physics

Generation and Properties of Two-Mode Circular States

Zhang Ke-Fu, Zhongjie Wang

Published Nov 1, 2008• 0 citations
Publisher

Abstract

Two-mode circular states, which are superposition states from some two-mode coherent states, are studied theoretically. It is shown that under certain conditions two-mode circular states may exhibit nonclassical effects, such as sub-Poissonian statistics and intermode correlation. We propose schemes to generate two-mode circular states by the interaction of a trapped ion with traveling wave lasers.

DOI
10.1088/0253-6102/50/5/18

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Physica Scripta•Jan 28, 2011•1 citation
Two-mode circular states, which are superposition states from some two-mode coherent states, are studied theoretically. It is shown that under certain conditions two-mode circular states may exhibit nonclassical effects, such as sub-Poissonian statistics and intermode correlation. We propose schemes to generate two-mode circular states by the interaction of a trapped ion with traveling wave lasers.
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.