Short-time fourth-order squeezing effects in spontaneous and stimulated four- and six-wave mixing processes

Giri, Dilip Kumar; Gupta, Partha Sarathi

doi:10.1088/1464-4266/5/2/307

Cited by 12 publications

(3 citation statements)

References 21 publications

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“…7 depict the variation of d A (l) and |α| 2 of equation ( 37) with different values of |gt|, demonstrating that the maximum reachable degree of antibunching is dependent on interaction time and is limited by a short interaction time. It is also worth noting that as the interaction time becomes shorter, the effect of photon antibunching increases [50][51][52].…”

Section: Resultsmentioning

confidence: 99%

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Photon antibunching in sixth harmonic generation

Singh,

Giri

2024

Nanosystems: Phys. Chem. Math.

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We studied photon antibunching in the pump and the harmonic modes of the sixth harmonic generation process. The generalized interaction Hamiltonian is solved for several particular cases in the Heisenberg picture, and the possibility of observing photon antibunching is investigated using the short-time approximation technique. It is shown that the photon antibunching in the pump field depends on the number of pump photons, the interaction time, and the coupling of the field between the modes. With the same amount of pump photons, we deduced that third-order photon antibunching is more nonclassical than second-and first-order photon antibunching. In this process, the effect of photon antibunching is not seen in the harmonic mode over pump mode. It is shown that photon antibunching is more noticeable with shorter interaction times as the depth of nonclassicality increases and the second-order correlation function decreases. The first-order Hamiltonian interaction, which stimulates both pump and harmonic fields, is demonstrated to be more nonclassical than the second-order Hamiltonian interaction. It is clear that the coherent state, or vacuum state, of a pump field with a nonzero harmonic field creates photon clusters because the pump field causes interaction, which leads to bunching effects. It is interpreted that the degree of photon antibunching is maximum in the regions where the second correlation function is minimum. Photon antibunching has been shown to be one of the quantum properties of light. KEYWORDS photon antibunching, higher-order antibunching, sixth harmonic generation, photon number operator, short-time approximation

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Section: Resultsmentioning

confidence: 99%

“…It also shows that the maximum reachable degree of antibunching depends upon the interaction time and will be limited by short interaction time. It is worth noting that as the interaction time becomes shorter, the effect of photon antibunching increases [50][51][52].…”

Section: Resultsmentioning

confidence: 99%

Photon antibunching in sixth harmonic generation

Singh,

Giri

2024

Nanosystems: Phys. Chem. Math.

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“…More recently, higher-order squeezing has been studied by us in various nonlinear quantum optical processes. [18][19][20][21][22] Due to their high nonlinearities, they can play important role in the generation of squeezed light. Another type of higherorder squeezing, called sum and difference squeezing was proposed by Hillery 23 for the two modes which are in fact the simplest versions of multimode higher-order squeezing.…”

Section: Introductionmentioning

confidence: 99%

Squeezing Effects in the Sum and Difference of the Field Amplitude in the Raman Process

Giri

Gupta

2005

Mod. Phys. Lett. B

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Sum and difference squeezing of the field amplitude are higher-order squeezing effects. These effects are studied in the Raman process under the short-time approximation based on a fully quantum mechanical approach. It is shown that for uncorrelated modes, the normal squeezing in the sum and difference-frequency field depends on the sum and difference squeezing of input field modes respectively, which can generate normal squeezing in the sum and difference-frequency field mode. All the possibilities for obtaining sum and difference squeezing in two modes and its dependence on squeezing of individual field modes are investigated. We have also shown that if the high-frequency mode is in a coherent state and the low-frequency mode is squeezed, the field state will be difference squeezed if the amplitude of the high-frequency mode is large enough; otherwise the state may or may not be difference squeezed. If both modes are squeezed, then the state may or may not be difference squeezed. These higher-order squeezing effects are useful in the production of squeezing in the Raman process.

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