s-Parameterized phase space distribution for describing no counts registered on a photonic detector

Fan, Hong-Yi; Lv, Cui-hong

doi:10.1016/j.optcom.2009.09.007

Cited by 5 publications

(2 citation statements)

References 20 publications

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“…In the following section, the s-ordered forms of some useful operators will be deduced by utilizing (8). Consequently, some new operator identities will be revealed.…”

Section: S-ordered Expansion Of |X λνλν X|mentioning

confidence: 99%

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S-ordered Expansion of the Intermediate Representation Projector and Its Applications

Yuan

et al. 2011

Int J Theor Phys

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We first deduce the s-ordered expansion of the Wigner operator. Since Radon transformation of Wigner operator is just the intermediate representation |x λ,ν projector, we naturally obtain the s-ordered product of |x λ,νλ,ν x|. Accordingly, the completeness relation is still preserved under the s-ordering. Finally, based on it, we obtain the s-ordered expansion of some useful operator in quantum optics, and some new operator identities are revealed accordingly.

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“…In the following section, the s-ordered forms of some useful operators will be deduced by utilizing (8). Consequently, some new operator identities will be revealed.…”

Section: S-ordered Expansion Of |X λνλν X|mentioning

confidence: 99%

“…Very recently, the s-ordered operator expansion has been a hot topic [6][7][8][9]. In particular, in Ref.…”

mentioning

confidence: 99%

S-ordered Expansion of the Intermediate Representation Projector and Its Applications

Yuan

et al. 2011

Int J Theor Phys

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The s-ordered expansions of the operator function about the combined quadrature µX + νP

Yuan

Fan

2010

Sci. China Phys. Mech. Astron.

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A general framework applicable to deriving the s-ordered operator expansions is presented in this paper. We firstly deduce the s-ordered operator expansion formula of density operator ρ a † , a and introduce the technique of integration within the sordered product of operators (IWSOP). Based on the deduction and the technique, we derive the s-ordered expansions of operators (μX + νP) n and H n (μX + νP) (linear combinations of the coordinate operator X and the momentum operator P, H n (x) is Hermite polynomial), respectively, and discuss some special cases of s = 1, 0, −1. Some new useful operator identities are obtained as well.s-ordered operator expansion formula, combined quadrature μX + νP, Hermite polynomial, IWSOP technique 03.65.Ta, 42.50.Ar

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Operators' s -parameterized ordering and its classical correspondence in quantum optics theory

Fan¹,

Yuan²,

Hu³

2010

Chinese Phys. B

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In reference to the Weyl ordering x m p n → (1/2) m m l=0 m l X m−l P n X l , where X and P are coordinate and momentum operator, respectively, this paper examines operators' s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondenceand its complementary relationwhere Hm,n is the two-variable Hermite polynomial, a, a † are bosonic annihilation and creation operators respectively, s is a complex parameter. The s -ordered operator power-series expansion of s-ordered operator a †m a n in terms of the two-variable Hermite polynomial is also derived. Application of operators' s-ordering formula in studying displacedsqueezed chaotic field is discussed.

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s-Parameterized phase space distribution for describing no counts registered on a photonic detector

Cited by 5 publications

References 20 publications

S-ordered Expansion of the Intermediate Representation Projector and Its Applications

S-ordered Expansion of the Intermediate Representation Projector and Its Applications

The s-ordered expansions of the operator function about the combined quadrature µX + νP

Operators' s -parameterized ordering and its classical correspondence in quantum optics theory

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