1999•Acta Physica SinicaOpen access

STATISTICAL PROPERTIES OF SUPERPOSITION OF ODD AND EVEN SU(1,1) COHERENT STATES

H. Lu, Guo Guang-Can, (1)广东佛山科学技术学院应用物理与通信工程系,佛山 528000；中国科学技术大学物理系和非线性科学中心,合肥 230026; (2)中国科学技术大学物理系和非线性科学中心,合肥 230026

Abstract

We study the statistical properties in the superpositions of SU(1,1) coherent states ｜ζ，k〉and ｜ζ，k〉. The even SU(1,1) coherent state (｜ζ，1/4〉) and odd SU(1,1) coherent state (｜ζ，3/4〉) correspond to squeezed vacuum state and squeezed one photon number state, respectively. It is shown that the superposed states can exhibit much stronger squeezing and antibunching for the suitable phase of ζ and the relative phase in superposition. We also propose a method of generating such superposed states.

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Key concepts: Superposition principle, Physics, Coherent states, Relative phase, State (computer science), Quantum mechanics, Phase (matter), Photon