To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive t...To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive the general evolution formula of the Wigner function, and its relation to Weyl correspondence is also discussed. The method of integration within the ordered product of operators is essential to our discussion.展开更多
By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable ...By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum optical states is presented.展开更多
We introduce a new kind of four-mode continuous variable entangled state in Fock space. The completeness relation and the partly nonorthonormal property of such a state are proven. The scheme to generate this state is...We introduce a new kind of four-mode continuous variable entangled state in Fock space. The completeness relation and the partly nonorthonormal property of such a state are proven. The scheme to generate this state is presented by combining a symmetrical beamsplitter, a parametric down-conversion and a polarizer. After making a single-mode quadrature amplitude measurement, the remaining three modes are kept in entanglement. And its applications are also discussed.展开更多
We propose a new two-mode thermo-and squeezing-mixed optical field, described by the new density operator ρ=1-e^f-｜g｜^2 e^ga^＋b^＋e^fa^＋a｜0〉 f_（bb） 〈0｜ e^（g＊ab）, where ｜0〉_（bb） 〈0｜ is the b-mode va...We propose a new two-mode thermo-and squeezing-mixed optical field, described by the new density operator ρ=1-e^f-｜g｜^2 e^ga^＋b^＋e^fa^＋a｜0〉 f_（bb） 〈0｜ e^（g＊ab）, where ｜0〉_（bb） 〈0｜ is the b-mode vacuum, e ^fa^＋arepresents the thermo-field, and e^ga^＋b^＋ indicates squeezing. The photon statistics for ρ is studied by virtue of the method of integration within ordered product（IWOP） of operators. Such a field can be generated when a two-mode squeezed state passes through a one-mode dissipation channel.展开更多
基金Project supported by the Foundation for Young Talents in College of Anhui Province, China (Grant Nos. gxyq2021210 and gxyq2019077)the Natural Science Foundation of the Anhui Higher Education Institutions, China (Grant Nos. 2022AH051580 and 2022AH051586)。
文摘To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in a thermal environment, in this paper, the thermo-entangled state representation is introduced to derive the general evolution formula of the Wigner function, and its relation to Weyl correspondence is also discussed. The method of integration within the ordered product of operators is essential to our discussion.
基金Project supported by the National Natural Science Foundation of China(Grant No.11175113)
文摘By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum optical states is presented.
基金supported by the Natural Science Foundation of Jiangxi Province,China (Grant No 2007GZW0171)the Foundation of Education Department of Jiangxi Province,China (Grant No [2007] 136)
文摘We introduce a new kind of four-mode continuous variable entangled state in Fock space. The completeness relation and the partly nonorthonormal property of such a state are proven. The scheme to generate this state is presented by combining a symmetrical beamsplitter, a parametric down-conversion and a polarizer. After making a single-mode quadrature amplitude measurement, the remaining three modes are kept in entanglement. And its applications are also discussed.
基金Project supported by the National Natural Science Foundation of China(Grant No.11574295)the Natural Science Foundation of Anhui Province,China(Grant No.1408085QA13)the Key project of Anhui Provincial Department of Education,China(Grant No.KJ2017A406)
文摘We propose a new two-mode thermo-and squeezing-mixed optical field, described by the new density operator ρ=1-e^f-｜g｜^2 e^ga^＋b^＋e^fa^＋a｜0〉 f_（bb） 〈0｜ e^（g＊ab）, where ｜0〉_（bb） 〈0｜ is the b-mode vacuum, e ^fa^＋arepresents the thermo-field, and e^ga^＋b^＋ indicates squeezing. The photon statistics for ρ is studied by virtue of the method of integration within ordered product（IWOP） of operators. Such a field can be generated when a two-mode squeezed state passes through a one-mode dissipation channel.
