Photon distribution in two-mode squeezed coherent states with complex displacement and squeeze parameters

Selvadoray, Mary; Kumar, Manoranjan; Simon, R.

doi:10.1103/physreva.49.4957

Cited by 38 publications

(45 citation statements)

References 35 publications

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“…(15) is "hidden." Caves et al [9] and Selvadoray et al [10] use the definition of Eq. (16) for the TMSCS, though the latter authors, for calculational convenience, also use the definition given by Eq.…”

Section: Coherently Stimulated Parametric Down-conversion and Thementioning

confidence: 99%

“…The statistical properties of these states were discussed in the literature some years ago by Caves et al [9] and by Selvadoray et al [10]. It is the latter authors who have performed the most complete analysis of the states by considering complex displacement and squeezing parameters.…”

Section: Introductionmentioning

confidence: 97%

“…As the coherent states may be defined as displaced vacuum states, it follows that the TMSCS is mathematically defined by the action of the displacement operators on the vacuum states of each mode followed by the action of the two-mode squeeze operator. However, in the literature, specifically the papers of Caves et al [9] and Selvadoray et al [10] cited above, one finds a definition of the TMSCS with the operators acting in reverse order, i.e., with the two-mode squeeze operator acting on the double vacuum followed by the displacement operator such that the states generated could be called two-mode displaced squeezed vacuum states (TMDSVS). Of course, the definitions are mathematically equivalent with properly chosen displacement parameters, but physically the latter states are generated by performing independent displacements on the two modes of the two-mode squeezed vacuum.…”

Section: Introductionmentioning

confidence: 98%

“…In the literature [9,10], the TMSCS are mathematically defined in two ways having to do with the orderings of the two-mode squeeze and the displacement operators acting on the double vacuum state. The states generated are mathematically equivalent but differ in their implied methods of physical generation.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Coherently stimulated parametric down-conversion, phase effects, and quantum-optical interferometry

2015

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We re-examine the properties of the states produced by nondegenerate coherently stimulated parametric down-conversion wherein the signal and idler modes are seeded with coherent states of light and where the nonlinear crystal is driven by a strong classical field as described by the parametric approximation. The states produced are the two-mode squeezed coherent states defined with a specific ordering of operators, namely, the displacement operators of the two modes acting on the double vacuum state followed by the action of the two-mode squeeze operator representing the down-conversion process. Though mathematically equivalent to the reverse ordering of operators, but with different displacement parameters, the ordering we consider is closely related to what could most easily be implemented in the laboratory. The statistical properties of the state are studied with an emphasis on how they, and its average photon number, are affected by the various controllable phases, namely, those of the classical pump field of the two input coherent states. We then consider the multiphoton interference effects that arise if the two beams are overlapped on a 50:50 beam splitter, investigating the role of the phases in controlling the statistical properties of the output states. Finally, we study the prospects for the application of the states to quantum-optical interferometry to obtain sensitivities in phase-shift measurements beyond the standard quantum limit.

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Section: Coherently Stimulated Parametric Down-conversion and Thementioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Coherently stimulated parametric down-conversion, phase effects, and quantum-optical interferometry

2015

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“…Recently, many groups have devoted to the research on nonclassical properties of twomode squeezed states [15][16][17][18][19][20][21][22][23]. Lee [15] and Caves' group [16] have studied the nonclassical photon statistics of two-mode squeezed states, respectively.…”

Section: Introductionmentioning

confidence: 99%

Generalized Two-Mode Squeezed States and Some Nonclassical Characteristics

Yuan

et al. 2009

Int J Theor Phys

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A class of generalized two-mode squeezed states |φ is presented, which are generated from the generalized two-mode squeezing operator U(γ, λ) acting on the two-mode coherent state |α 1 , α 2 . We first investigate some mathematical properties of U(γ, λ) including the squeezing transformation under U(γ, λ), ket-bra integral form in the coordinate representation, normally ordered form. Then we evaluate some nonclassical characteristics of the state |φ such as higher-order squeezing behavior, entanglement analysis and analytical expression of the Wigner function.

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Revival-collapse phenomenon in the quadrature squeezing of the multiphoton Jaynes-Cummings model with the binomial states

El-Orany

2008

Ann. Phys.

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In this paper we study the interaction between two-level atom and quantized single-mode field, namely, Jaynes-Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state, respectively.For this system we prove that the revival-collapse phenomenon exhibited in the atomic inversion of the standard JCM can be numerically (naturally) manifested in the evolution of the squeezing factor of the three-photon (standard) JCM provided that the initial photon-number distribution of the radiation has a smooth envelope.

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Photon distribution in two-mode squeezed coherent states with complex displacement and squeeze parameters

Cited by 38 publications

References 35 publications

Coherently stimulated parametric down-conversion, phase effects, and quantum-optical interferometry

Coherently stimulated parametric down-conversion, phase effects, and quantum-optical interferometry

Generalized Two-Mode Squeezed States and Some Nonclassical Characteristics

Revival-collapse phenomenon in the quadrature squeezing of the multiphoton Jaynes-Cummings model with the binomial states

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