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理论物理通讯：英文版

A Kind of Atomic Coherent State as a Two-Mode Squeezed State

Ma, Shan-Jun, Wang, Shujing

Published Jan 1, 2009• 0 citations
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We find that a kind of atomic coherent state, formed as exp[ξJ + – ξ*J − ] |00〉, when the SU(2) generators J± are taken as Fan's form, J + = (1/2)(a 1 – a 2 † )(a 1 † – a 2 ), J − = (1/2)(a † 1 + a 2 ) (a 1 + a 2 † ), and J 0 = (1/2)(a 1 † a 2 † – a 1 a 2 ), is simultaneously a two-mode squeezed state. We analyse this squeezed state's physical properites, such as the cross-correlation function, the Wigner function, and its marginal distribution as well as the Husimi function.

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Light squeezing in the system of the two-mode entangled coherent field interacting with atoms in Bell states

Zhuo‐Liang Cao

The light squeezing effects in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent states field are investigated by means of Schrdinger equation solution and numerical calculations.The results show that light squeezing effects not only depends on the mean photon numbers and atomic initial state but also the degree of entanglement of the two-mode entangled coherent state optics field,whereas the coupling between two atoms does not affect the light squeezing effects.The light squeezing effects does not appear for a special kind of Bell state |β11〉,however there can appear the light squeezing effects under some conditions for the other three Bell states.

Journal of Atomic and Molecular Physics•Jan 1, 2007•0 citations
We find that a kind of atomic coherent state, formed as exp[ξJ + – ξ*J − ] |00〉, when the SU(2) generators J± are taken as Fan's form, J + = (1/2)(a 1 – a 2 † )(a 1 † – a 2 ), J − = (1/2)(a † 1 + a 2 ) (a 1 + a 2 † ), and J 0 = (1/2)(a 1 † a 2 † – a 1 a 2 ), is simultaneously a two-mode squeezed state. We analyse this squeezed state's physical properites, such as the cross-correlation function, the Wigner function, and its marginal distribution as well as the Husimi function.
We study the interaction of two-level atoms with correlated two-mode states of the quantized electromagnetic field. We assume that only one of the modes is near resonance with the atomic transition so that the second mode does not interact directly with the atom. However, we find that the presence of the second field does produce a kind of nonlocal effect in that if the atom is initially in the excited or the ground state no atomic dipole moment develops. We consider two kinds of correlated field state, namely, the correlated SU(1, 1) coherent states, which are generalizations of the two-mode squeezed vacuum states, and the so-called pair coherent states. We study the atomic inversions and the evolutions of the field statistics and of the squeezing properties of the initial field.
The light squeezing effects in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent states field are investigated by means of Schrdinger equation solution and numerical calculations.The results show that light squeezing effects not only depends on the mean photon numbers and atomic initial state but also the degree of entanglement of the two-mode entangled coherent state optics field,whereas the coupling between two atoms does not affect the light squeezing effects.The light squeezing effects does not appear for a special kind of Bell state |β11〉,however there can appear the light squeezing effects under some conditions for the other three Bell states.