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Acta Sinica Quantum Optica

Quasi-probability distribution of Superposed State of Two-mode Vacuum State and Two-mode Coherent State

XU Guang-wen

Published Jan 1, 2011• 0 citations
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Abstract

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.

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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.
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.
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 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.
The superposition of excited coherent states was constructed by superpositioning two excited coherent states of the same intensity and mutual phase conjugation,and their Wigner functions,second-order coherence degree and Mandel Q factors were calculated,upon which their non-classical properties were analyzed.The numerical results show that,the Wigner functions of the superposition of excited coherent states may become negative,and their second-order coherence degree and Mandel Q factors are both less than 1.Hence,the research shows that the quasi-probability distribution of the superposition of excited coherent states may become negative,and their light field has anti-bunching effects,with the distribution of photon number being of sub-Poisson distribution.Therefore,these superposition states are quantum states with non-classical properties.