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研究生: 鄭應偉
Ing-Wei Tang
論文名稱: 量子固體與約瑟芬效應
Quantum Solid and Josephson Effect
指導教授: 洪在明
Tzay-Ming Hong
口試委員:
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: 2008
畢業學年度: 96
語文別: 英文
論文頁數: 52
中文關鍵詞: 量子固體超固體約瑟芬效應
外文關鍵詞: Quantum Solid, Supersolid, Josephson Effect
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  • 根據E. Kim和 M. Chan 在實驗中的觀察,角頻率會隨著溫度下降而增加。當在扭轉振盪器裡的固體氦4的溫度下降低於臨界溫度,我們假設一些小部分從固體擘落下來的原子會邁向扭擺(Torsional Oscillator)的中心點。為了要降低整體系統能量(Free Energy),這些擘落下來的原子會因為當溫度低於零界溫度而變成超流體。這些擘落後原子的動態如角頻率可以以超流體的密度分布和轉動慣量來描述。我們發覺我們所提出的模型可以用來解釋在實驗中所看到的部分現象。我們同時也探討在超固體中看到約瑟芬效應的可能性。我們同是考慮了靜態超固體的約瑟芬效應與動態的約瑟芬效應。靜態超固體的約瑟芬流和在超導體的約瑟芬流是一樣。反之在動態的約瑟芬效應,因為原子的電子性,在超導體的AC瑟芬效應不能在這裡看到。故我們以轉動超固體的能量來比擬在超導體的AC瑟芬效應。


    1 Introduction 2 Superfluidity 2.1 Properties of Liquid Helium-4 2.2 Superfluid Helium-4 2.3 Explanation of Superfluid Helium-4 2.4 Properties of Superfluid Helium-4 3 Ginzburg-Landau Theory 4 Supersolidity 4.1 Early Theory of Supersolidity 4.2 Experimental Evidence of supersolidity 4.2.1 Supersolidity appeared in the Vycor Glass Disk 4.2.2 Supersolidity Appeared in the Torsional Oscillator 5 Josephson Effect 5.1 Theory of Josephson Effect 6 Our Interpretation of Supersolidity 7 Josephson Effect in Supersolid 7.1 Josephson Effect of Two Stationary Supersolid 7.2 Josephson Effect in Two Rotating Annular Cylinder 8 Discussion and Conclusion 9 Reference 1

    [1] A. F. Andreev and I. M. Lifshitz, Sov. Phys. JETP 29, 1107, (1969)
    [2] G. V. Chester, Phys. Rev. A 2, 1 (1970)
    [3] A. Leggett, Phys. Rev. Lett. 25, 1543 (1970)
    [4] E. Kim and M. H. W. Chan, Science 305, 1941, (2004)
    [5] E. Kim and M. H. W. Chan, Nature 427, 225, (2004)
    [6] B. D. Josephson, Phys. Lett. 1, 251 (1962)
    [7] K. Huang, Statistical Mechanics, John Wiley & Sons (1988).
    [8] A. Leggett, Quantum Liquids, Cambridge University Press (2007)
    [9] J. F. Annett, Superconductivity, Superfluids and Condensates, Oxford University (2004)
    Press.
    [10] R. Feynman, Statistical Mechanics, Westview Press.
    [11] R. K Pathria, Statistical Mechanics, Elsevier Ltd.
    [12] E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, Pergamon Press.
    [13] D. R. Tilley and J. Tilley, Superfluidity and Superconductivity, IOP Publishing
    Ltd.
    [14] D. J. Bishop et al. Phys. Rev. B. 24, 2844
    [15] N. Prokof’ev and B. Svistunov, Phys. Rev. Lett. 94, 155302, (2005)
    [16] P. Philips and A. V. Balatsky, Science 316, 1435 (2007)
    [17] L. Pollet, et al., Phys. Rev. Lett, 98, 135301 (2007)
    [18] M. Boninsegni,et al., Phys. Rev. Lett, 96, 105301 (2006)
    [19] Xi Dai, et al., Phys. Rev. B, 72, 132504 (2005)
    [20] V. W. Scarola and S. Das Sarma, Phys. Rev. Lett, 95, 033003 (2005)
    [21] V. W. Scarola, et. al., Phys. Rev. A, 73, 051601 (2006)
    [22] A. Leggett, Science 305, 1921 (2004)
    [23] M. H. W. Chan, Science 319, 1207 (2008)
    [24] B.-G. Englert, Lectures on Quantum Mechanics - Simple System, Word Scientific
    [25] A. Leggett, private communication
    [26] D. Jaksch, et al., Phys. Rev. Lett, 81, 3108 (1998)
    [27] M. Greiner, et al., Nature, 415, 39 (2002)
    [28] B. P. Anderson and M. A. Kasevich, Science 282, 5394 (1998)
    [29] F. S. Catalliotti, et al., Science 293, 5531 (2001)
    [30] F. Meier and W. Zwerger, Phys. Rev. A 64, 033610, (2001)
    [31] B. Mashhoon, arxiv:gr-qc/0011014 (2000)
    [32] B. Mashhoon, arxiv:gr-qc/0311030 (2003)

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