Single-Mode Photon-Addition for the Two-Mode Squeezed State and its Statistical Properties

We construct a new optical field, denoted as ρ 0 ≡ ψ ll ψ , ψ l = sech l λ l ! b † l S 2 00 , by adding single-mode l -photon to a two-mode squeezed vacuum state, where S 2 = exp λ a † b † − a b is the two-mode squeezing operator. We find that its partial trace over b -mode will lead to a negative-b...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 56; no. 8; pp. 2651 - 2658
Main Authors Wu, Wei-Feng, Fan, Hong-Yi
Format Journal Article
LanguageEnglish
Published New York Springer US 01.08.2017
Springer Nature B.V
Subjects
Account reviews
Compressing
Elementary Particles
Mathematical and Computational Physics
Operators
Optical properties
Physics
Physics and Astronomy
Quantum entanglement
Quantum Field Theory
Quantum mechanics
Quantum Physics
Theoretical
Variation
Summation method within normal ordering
Negative-binomial optical field
Single-mode excited two-mode squeezed state
Photon statistics
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Summary:We construct a new optical field, denoted as ρ 0 ≡ ψ ll ψ , ψ l = sech l λ l ! b † l S 2 00 , by adding single-mode l -photon to a two-mode squeezed vacuum state, where S 2 = exp λ a † b † − a b is the two-mode squeezing operator. We find that its partial trace over b -mode will lead to a negative-binomial optical field in a -mode characteristic of l , which exhibits quantum entanglement. The photon number fluctuation of the new optical field both in a -mode and in b -mode is investigated. We employ the summation method within ordered product of operators to proceed our discussion.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-017-3421-8