najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2024-15-2-170-183najo-32Research ArticlePHYSICSФИЗИКАPhoton antibunching in sixth harmonic generationАнтигруппировка фотонов в генерации шестой гармоникиhttps://orcid.org/0009-0009-3184-3274СингхРупешSinghRupesh

Koylanagar, Dhanbad, Jharkhand

rupesh.dav2021@gmail.comhttps://orcid.org/0000-0003-2721-5055ГириДилип КумарGiriDilip Kumar

Dhanbad, Jharkhand

dilipkumargiri@gmail.comDepartment of Physics, D.A.V. Public SchoolIndiaUniversity Department of Physics, Binod Bihari Mahto Koyalanchal UniversityIndia202431052025152170183Copyright © Singh R., Giri D.K., 20252025Сингх Р., Гири Д.К.Singh R., Giri D.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/32

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.

Изучен эффект антигруппировки фотонов в моде накачки и гармонических модах в процессе генерации шестой гармоники. Для нескольких частных случаев в картине Гейзенберга получен обобщенный гамильтониан взаимодействия и с помощью метода временной теории возмущений исследована возможность наблюдения антигруппировки фотонов. Показано, что антигруппировка фотонов в поле накачки зависит от числа фотонов накачки, времени взаимодействия и параметра межмодового взаимодействия. При одинаковом количестве фотонов накачки мы пришли к выводу, что антигруппировка фотонов третьего порядка более неклассическая, чем антигруппировка фотонов второго и первого порядка. В этом процессе эффект антигруппировки фотонов менее выражен в гармонических модах по сравнению с модой накачки. Показано, что антигруппировка фотонов более заметна при меньших временах взаимодействия по мере увеличения глубины неклассичности и уменьшения корреляционной функции второго порядка. Показано, что гамильтоново взаимодействие первого порядка, которое стимулирует как поля накачки, так и гармонические поля, создает большую неклассичность, чем гамильтоново взаимодействие второго порядка. Найдено, что когерентное состояние, или вакуумное состояние поля накачки с ненулевым гармоническим полем создает кластеры фотонов, поскольку поле накачки вызывает взаимодействие, приводящее к эффектам группировки. Интерпретируется, что степень антигруппировки фотонов максимальна в областях, где вторая корреляционная функция минимальна. Было показано, что антигруппировка фотонов является одним из квантовых свойств света.

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The authors declare that there are no conflicts of interest present.