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Journal of the Optical Society of America B

Nonclassical statistical properties of fields in squeezed even and squeezed odd coherent states

Kaicheng Zhu, Xiangru Li, Qin Wang

Published Jul 1, 1993• 19 citations
Publisher

Abstract

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.

DOI
10.1364/josab.10.001287

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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.
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.
Nonclassical features of entangled coherent states (two-mode superposition coherent states) based on two coherent states shifted in phase by π/2 are discussed. Analysis of Cauchy–Schwartz inequality, two-mode quadrature squeezing, oscillatory and sub-Poissonian photon statistics show that nonclassicality exists for these states. Furthermore, it is also observed that special states have remarkably strong nonclassical properties than the entangled coherent states based on famous even–odd coherent states.
In this paper we discuss the nonclassical properties of quantum superpositions of coherent states of light. Using general expressions for the Wigner functions of superposition states we analyze the consequences of quantum interference between coherent states. We describe in detail nonclassical properties of a superposition of two coherent states. In particular, we study the oscillatory behavior of the photon number distribution of the even and odd coherent states. We show under which conditions a superposition of two coherent states can exhibit second- and fourth-order squeezing or sub-Poissonian photon statistics. We examine the sensitivity of nonclassical effects such as oscillations in the photon number distribution or second-order squeezing to dissipation. We demonstrate that quantities such as the photon number distribution and interferences in phase space are highly sensitive to even a quite small dissipative coupling, because they depend on all moments of the field observables, and higher moments decay more rapidly than lower moments. Quantities such as quadrature squeezing, on the other hand, are more robust against dissipation because they involve only lower moments. Finally, we find a remarkable effect whereby fourth-order squeezing is generated by damping.
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.
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.