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Journal of Shenyang University

Non-classical Properties of Superposed State of Two-mode Vacuum State and Two-mode Coherent State

Bainian Wang

Published Jan 1, 2007• 0 citations
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Abstract

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.

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Non-classical Properties of Superposed State of Two-mode Vacuum State and Two-mode Coherent State

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Physica Scripta•Jan 26, 2021•12 citations
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.
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.
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.
We examine the non-classical properties of two-mode coherent states based on different unitary irreducible representations of SU(1, 1). Such states are generated by the action of the two-mode squeezing operator on initial states of the field containing arbitrary numbers of photons in each of the two modes. If the initial state of the field is a two-mode vacuum state, the final state is of course the two-mode squeezed vacuum. An initial occupation generalizes the idea of a squeezed vacuum to the SU(1, 1) coherent states. We show that fields in such states have remarkable quantum properties such as sub-Poissonian statistics, violations of the Cauchy-Schwarz inequality, strong correlations in the photon number fluctuations and squeezing. Using information theory formalism, we show that these coherent states are less correlated than the usual two-mode squeezed vacuum. Moreover, we show that an initial coherent amplitude contribution, in a large amplitude limit, can result in the reduction of correlations between modes.
Abstract Superposition of two coherent states, the Schrodinger’s cat state, can exhibit different nonclassical properties having foundational applications in quantum information processing. We consider the ‘superposition of Schrodinger’s cat state with the vacuum state (SCVS)’ of the optical field. We discuss different witness of nonclassicality properties such as lower- and higher-order squeezing (viz., squeezing, Hong & Mandel’s fourth-order squeezing, amplitude-squared squeezing) and sub-Poissonian photon statistics. Further, we discuss the negativity of the Wigner function of SCVS indicating the nonclassicality of the state under investigation. We find that the vacuum state contribution in SCVS exhibits different nonclassicalities under some conditions stronger where the nonclassicalities exhibited by the state without vacuum state contribution are weaker.