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研究生: 徐振瑋
Xu, Zhen-Wei
論文名稱: 利用原子干涉儀測量史塔克位移
The measurement of ac stark shift using atom interferometry
指導教授: 管培辰
Kuan, Pei-Chen
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 38
中文關鍵詞: 拉姆齊干涉儀史塔克位移拉比震盪
外文關鍵詞: Rabi model, Ramsey interferometry, AC Stark shift
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  • 我們藉由拉比模型理論處理方法,計算外電場對系統的微擾,來估計史塔克效應對二能階系統的原子分佈造成的影響,理論計算非共振的史塔克位移相位偏移量造成能階分裂的影響,也計算共振史塔克位移應當會對二能階系統的原子態分佈量造成什麼樣的相位偏移。
    實驗上使用兩道微波脈衝加史塔克光組成的拉姆其干涉儀對原子做操作。這兩道微波脈衝都是利用 AD9959 加微波產生器 (8648C) 經過混頻器生成 3035 MHz 的訊號。這兩道微波脈衝的相對相位差利用 AD9959 調控,從測量的結果可以看到隨著我們相對相位的變化,可以明顯看到峰值隨著相對相位改變產生偏移。
    關鍵字: 拉比震盪, 拉姆齊干涉儀, 史塔克位移

    We use theoretical Rabi model to calculate the perturbation of the system and estimate the influence of the far-detuned AC stark Shift and on-resonance AC stark Shift.
    In the experiment, Ramsey interferometry is composed of two microwave pulses plus an AC stark beam which was used to operate on atoms.Both microwave pulses were used to generate 3035 MHz signals through a mixer using AD9959 plus a microwave generator (8648C). The relative phase difference of the two microwave pulses is adjusted by AD9959. From the measurement results, we can see that as our relative phase changes, we can clearly see that the peak value shifts with the relative phase shift.
    Keyword: Rabi model, Ramsey interferometry, AC Stark shift

    摘要I Abstract II 致謝III 1 緒論1 2 基本原理2 2.1 拉姆齊干涉儀. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.1.1 布洛赫球面. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.1.2 拉比震盪. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.3 拉姆齊干涉儀. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 史塔克位移. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2.1 非共振史塔克位移. . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2.2 共振史塔克位移. . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3 實驗系統架設15 3.1 鎖頻系統. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.1.1 銣原子能階與特性. . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.1.2 頻率調變光譜. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.1.3 雷射鎖頻. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2 磁光陷阱. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2.1 都普勒冷卻. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2.2 磁光陷阱. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.2.3 西西弗斯冷卻. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.3 系統架設. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.3.1 冷卻光. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.3.2 幫浦光. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.4 躍遷元件機制. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4.1 躍遷頻率生成機制. . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4.2 微波元件接法. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4.3 光路架設. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.4.4 時間序列. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 4 實驗結果與討論29 5 結論與展望34 參考文獻35 附錄A:85Rb C.G. 係數表37

    [1] Christopher Gerry, Peter Knight, and Peter L Knight. Introductory quantum
    optics. Cambridge university press, 2005.
    [2] Marlan O Scully and M Suhail Zubairy. Quantum optics, 1999.
    [3] Foot, Christopher J. Atomic physics, 2007.
    [4] Roos, CF and Leibfried, D and Mundt, A and Schmidt-Kaler, F andEschner,
    J and Blatt, R. Experimental demonstration of ground state laser cooling
    with electromagnetically induced transparency,Physical review letters, 85,26,
    2000.
    [5] Dalibard, J.; Cohen-Tannoudji, C. (1989). Laser cooling below the Doppler
    limit by polarization gradients: simple theoretical models,Journal of the Op-
    tical Society of America B. 6 (11)
    [6] Lett, Paul D.; Watts, Richard N.; Westbrook, Christoph I.; Phillips, William
    D.; Gould, Phillip L.; Metcalf, Harold J. Observation of Atoms Laser Cooled
    below the Doppler Limit,Phys. Rev. Lett. 61 (2): 169{172.
    [7] Metcalf, H.J. and der Straten, P. Van. Laser Cooling and Trapping, 1999.
    [8] Schuda, F; Stroud, C R; Hercher, M (1974-05-11). Observation of the resonant
    Stark e ect at optical frequencies.Journal of Physics B: Atomic and Molecular
    Physics. IOP Publishing. 7 (7): L198{L202.
    [9] Linskens, AF and Holleman, I and Dam, N and Reuss, J. Two-photon Rabi
    oscillations,Physical Review A, 54, 6, 1996.
    [10] Anisimov, Petr M and Dowling, Jonathan P and Sanders, Barry C. Ob-
    jectively discerning Autler-Townes splitting from electromagnetically induced
    transparency,Physical review letters, 107, 16, 2011.
    [11] Levi, F and Camparo, J and Francois, B and Calosso, CE and Micalizio, S
    and Godone, A Precision test of the ac Stark shift in a rubidium atomic
    vapor,Physical Review A, 93, 2, 2016.
    [12] Rosenbusch, P and Ghezali, S and Dzuba, VA and Flambaum, VV and Be-
    loy, K and Derevianko, A. ac Stark shift of the Cs microwave atomic clock
    transitions,Physical Review A, 79, 1, 2000.
    [13] Miletic, Danijela and A olderbach, Christoph and Hasegawa, M and Boudot,
    R and Gorecki, C and Mileti, Gaetano. AC Stark-shift in CPT-based Cs
    miniature atomic clocks, Applied Physics B, 109, 1, 2012.
    [14] Shankar, Ramamurti. Principles of quantum mechanics, 1980.
    [15] EVAL-AD9959 User Guide (Rev. 0), Available online at
    https://www.analog.com/media/en/technical-documentation/user-
    guides/eval-ad9959.pdf.
    [16] Delone, Nikolai Borisovich and Krainov, Vladimir P AC Stark shift of atomic
    energy levels, 42, 7, 1999.
    [17] Sakurai, Jun John. Modern quantum mechanics; rev. ed, 1994.
    [18] Raab, EL and Prentiss, M and Cable, Alex and Chu, Steven and Pritchard,
    David E Trapping of neutral sodium atoms with radiation pressure,Physical
    review letters, 59, 23, 1987.
    [19] Ashkin, Arthur and Dziedzic, James M and Bjorkholm, John E and Chu,
    Steven Observation of a single-beam gradient force optical trap for dielectric
    particles,Optics letters, 11, 5, 1986.
    [20] Formichella, V and Camparo, J and Tavella, Patrizia In uence of the ac-Stark
    shift on GPS atomic clock timekeeping, Applied Physics Letters, 110, 4, 2017.

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