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Acta Physica Sinica

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

LU HONG, 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

Published Jan 1, 1999• 1 citation
Publisher

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.

DOI
10.7498/aps.48.1433

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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.
We examine the nonclassical statistical properties of the squeezed even and the squeezed odd coherent states defined by the superposed states involving two squeezed coherent states with phase difference π between their displacement parameters. We demonstrate that the fields in the squeezed even coherent state can exhibit a remarkably enhanced squeezing level and mean photon number in comparison with the input squeezed coherent state. We also give examples of physical processes that lead to such a superposition.
Based on the quantum superposition principle,we construct a new type of superposition composed of coherent state and squeezed state |φ=N(|α+eiφ|βg);and study its squeezing effect and photon anti-bunching effect.The results show that this kind of superposition exhibits fluent quantum properties.When superposed as even/odd coherent states,the superposition exhibits some properties of both even/odd coherent states and squeezed even/odd coherent states.The even/odd coherent and coherent state can be obtained as a special case when the squeezed factor r is zero.
We mainly examine the nonclassical statistical properties of both squeezed even and Squeezed odd coherent states defined by the superposed states involving two squeezed coherent states with a phase difference n between their displacement parameters. We demonstrate that the fields in squeezed even coherent state can exhibit remarkably enhanced squeezing level and mean photon number in comparison with the input squeezed coherent state. We also point out the examples of the physical processes leading to such a superpotition.
The properties of correlated two-mode SU(1, 1) coherent states are studied. These states are a generalization of the two-mode squeezed vacuum states and are generated by applying the two-mode squeeze operator to a state in which there are initially q photons in one mode, |q, 0〉, the squeezed vacuum (q = 0) obviously being a special case. For these states the photon-number distribution and the nonclassical properties of photon antibunching, enhanced phase fluctuations, violations of the Cauchy–Schwarz inequality, two-mode squeezing, and sum squeezing are studied. A Q-function quasi-probability distribution for these states is also presented.