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Dalian Qinggongye Xueyuan xuebao

Non-classical properties of two-mode squeezed superposed coherent state

Liu Yu-jie, Huang Yan, Pang Shao-fang

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

A new class of non-classical state of the radiation field,called as two-mode squeezed superposed coherent state,is described in this paper.It is defined as ｜φ〉=CS(ξ)(｜α_1,α_2〉+e~(iφ)｜α~*_1,α~*_2〉).Calculating its normalized constant,its non-classical nature is discussed,including squeezed effect,sub-Poissonian distributing,anti-bunching effect,and the second-order cross correlation function between the two-mode.Numerical results demonstrate that the two-mode squeezed superposed coherent state possesses more obvious non-classical properties.Selecting suitable parameters α_1,α_2,φ,θandξ,the two-mode squeezed superposed coherent state can be reduced to the two-mode squeezed superposed vacuum state and the two-mode superposed coherent state.Therefore it is a kind of more generalized non-classical quantum state.

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A new class of non-classical state of the radiation field,called as two-mode squeezed superposed coherent state,is described in this paper.It is defined as ｜φ〉=CS(ξ)(｜α_1,α_2〉+e~(iφ)｜α~_1,α~_2〉).Calculating its normalized constant,its non-classical nature is discussed,including squeezed effect,sub-Poissonian distributing,anti-bunching effect,and the second-order cross correlation function between the two-mode.Numerical results demonstrate that the two-mode squeezed superposed coherent state possesses more obvious non-classical properties.Selecting suitable parameters α_1,α_2,φ,θandξ,the two-mode squeezed superposed coherent state can be reduced to the two-mode squeezed superposed vacuum state and the two-mode superposed coherent state.Therefore it is a kind of more generalized non-classical quantum state.
A new class of non-class of non-classical state of the radiation field is constructed,which is called superposed state of two-mode vacuum state and two-mode coherent state.The non-classical properties are discussed,which are squeezed effect,sub-Poissonian distribution and the second-order cross correlation function between the two modes.The numerical results show that the superposed state of two-mode vacuum state and two-mode coherent state possesses very obvious non-classical properties.Therefore it is a new non-classical quantum state.
A new class of non-classical state of the radiation field,called as superposed state of two-mode vacuum state and two-mode coherent state was constructed.The mathematical structure of the superposed state of two-mode vacuum state and two-mode coherent statewas constructed,and its non-classical properties were discussed,namely squeezed effect,sub-Poissonian distribution,the second-order cross correlation function between the two modes.The numerical results show that the superposed state of two-mode vacuum state and two-mode coherent state possesses very obvious non-classical properties.Therefore it is a class of new non-classical quantum state.
Non-classical states of the radiation field play very important role in quantum optics and have extensive application background in practice,therefore more and more people are greatly interested in how to construct non-classical states of various kinds.In this paper,we construct a new class of non-classical state of the radiation field,called superposed state of two-mode vacuum state and two-mode coherent state,we construct the mathematical structure of the superposed state of two-mode vacuum state and two-mode coherent state,discuss its quasi-probability distribution,furthermore the numerical results show that the superposed state of two-mode vacuum state and two-mode coherent state possess very obvious non-classical properties.Therefore it is a class of new non-classical quantum state.
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.
Abstract Two-mode nonlinear semi-coherent states and their even and odd superpositions are defined. Their non-classical properties, including photon statistics and squeezing, are then evaluated. We use the Mandel parameter and the second-order coherence function to study sub-Poissonian photon statistics and the photon antibunching effect. By calculating the variance of two-mode quadrature operators, we evaluate the squeezing effect for the introduced states. Next, we examine entanglement using concurrence. We have found that all states display non-classical properties within certain ranges of the parameters involved. The calculation of concurrence demonstrates that all states are entangled within specific ranges of parameters.