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بهبود رفتار غیرکلاسیکی حالتهای عددی جابهجاشده بهکمک تقویت خطّی بدون نوفه | ||
فصلنامه علمی اپتوالکترونیک | ||
مقاله 10، دوره 5، شماره 2 - شماره پیاپی 13، مرداد 1402، صفحه 81-90 اصل مقاله (2.29 M) | ||
نوع مقاله: پژوهشی | ||
شناسه دیجیتال (DOI): 10.30473/jphys.2023.68989.1162 | ||
نویسندگان | ||
محدثه رضاخانینژاد1؛ حمیدرضا باغشاهی* 2؛ محمدجواد فقیهی3 | ||
1دانشگاه ولی عصر (عج) رفسنجان، دانشکده علوم پایه، گروه فیزیک | ||
2دانشگاه ولی عصر (عج) رفسنجان-دانشکده علوم پایه-گروه فیزیک | ||
3دانشگاه تحصیلات تکمیلی صنعتی و فناوری پیشرفته کرمان، گروه فوتونیک | ||
چکیده | ||
در این مقاله، رده جدیدی از حالتهای غیرکلاسیکی تابشی معرّفی میشود. بدین منظور، پس از تبیین کاربردهای حالتهای عددی جابهجاشده و بیان اهمّیت تقویت سیگنال بدون نوفه، حالتهای عددی جابهجاشده تقویتشده معرّفی میشوند. سپس با بررسی برخی از مهمترین معیارهای غیرکلاسیکی مانند پارامتر مندل، تابع همبستگی مرتبه دوّم، تابع مشخّصه فوگل، و تابع توزیع ویگنر، غیرکلاسیکیبودن حالتهای کوانتومی معرّفیشده مورد مطالعه قرار میگیرد. در هر مورد، نقش تعداد فوتونهای حالتهای عددی و ضریب بهره در مقادیر کمّیتهای فیزیکی یادشده بررسی میشود. نتایج عددی مقادیر قابل توجّهی از آمار زیرپواسونی میدان و رفتار پادگروهی فوتونها را نشان میدهد. پس از آن، به عنوان شرط لازم و کافی برای غیرکلاسیکیبودن یک حالت کوانتومی، رفتار تابع مشخّصه فوگل مورد ارزیابی قرار میگیرد. خواهیم دید که تابع فوگل برای حالتهای کوانتومی مورد نظر فراتر از مقدار تابع مشخّصه حالت پایه میرود که این امر به منزله غیرکلاسیکیبودن حالتهای معرّفیشده است. علاوه بر این، منفیبودن تابع توزیع ویگنر-ویل، به عنوان نمود دیگری از غیرکلاسیکیبودن حالتهای مورد مطالعه، نیز مشاهده میشود. در نتیجه، ویژگیهای ذکرشده حاکی از آن است که حالتهای عددی جابهجاشده تقویتشده را می توان کاندیدای مناسبی برای یک نور غیرکلاسیکی قلمداد کرد. | ||
کلیدواژهها | ||
حالت عددی جابهجاشده؛ تقویت خطّی بدون نوفه؛ تابع ویگنر؛ تابع مشخّصه فوگل؛ آمار زیرپواسونی | ||
عنوان مقاله [English] | ||
Enhancement of Nonclassicality of Displaced Number States by Noiseless Linear Amplification | ||
نویسندگان [English] | ||
Mohaddeseh Rezakhaninezhad1؛ Hamid Reza Baghshahi2؛ Mohammad Javad Faghihi3 | ||
1Department of Physics, Vali-e-Asr University of Rafsanjan, | ||
2Department of Physics, Faculty of Science, Vali-e-Asr University of Rafsanjan | ||
3Department of Photonics, Graduate University of Advanced Technology, Kerman | ||
چکیده [English] | ||
In this paper, a new class of nonclassical states of radiation is presented. For this purpose, after clarifying the application of displaced number states align with expressing the significance of noiseless signal amplification, amplified displaced number states are introduced. Then, examining some of the most important criteria, such as Mandel’s parameter, second-order correlation function, Vogel’s characteristic function, and Wigner distribution function, the nonclassicality of the introduced quantum states is studied. In each case, the roles of gain factor and number of photons of the number states in the above-mentioned physical quantities are discussed. The numerical results show remarkable values of sub-Poissonian statistics of the field and photon antibunching. Afterward, as the necessary and sufficient condition for the nonclassicality of a quantum state, the behavior of the Vogel’s characteristic function is analyzed. We will see that the Vogel function for quantum states of interests goes beyond the value of characteristic function of the ground state, which results in the nonclassicality of the introduced states. Moreover, the negativity of the Wigner–Weyl distribution function, as another appearance of the nonclassicality of the considered states, is also observed. Consequently, the mentioned evidence implies that the amplified displaced number states can be regarded as successful candidates for nonclassical light. | ||
کلیدواژهها [English] | ||
Displaced number state, Noiseless linear amplification, Wigner function, Vogel’s characteristic function, Sub-Poissonian statistics | ||
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