English  |  正體中文  |  简体中文  |  Post-Print筆數 : 11 |  Items with full text/Total items : 89685/119491 (75%)
Visitors : 23936199      Online Users : 130
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/63174


    Title: 迷宮中的螞蟻:展透圖裏的擴散和量子傳播
    The ant in the labyrinth: classical diffusion and quantum propagation on percolation clusters
    Authors: 蘇柏銘
    Su, Bo Ming
    Contributors: 林瑜琤
    Lin, Yu Cheng
    蘇柏銘
    Su, Bo Ming
    Keywords: 量子動力學
    擴散
    展透圖
    無序效應
    quantum dynamics
    diffusion
    percolation
    disorder effects
    Date: 2013
    Issue Date: 2014-01-02 13:29:35 (UTC+8)
    Abstract: 複雜的系統可以由大量相互作用的單元所構成;有關複雜系統的資料往往可建構成圖(graphs)或網絡系統的型式。複雜網路系統上經過連結及節點的傳播行為可描述例如資訊或能量的傳遞,此方向的研究已成跨各科學領域重要且熱門的課題。在凝態物理中,電子或準粒子在晶格與非晶格裡的傳播可描述許多性質,如導電性和導熱性等;在生物系統中細胞間的運輸亦可視為上述的網路傳播行為。本論文探討在幾種典型的離散晶格及滲透模型中的古典馬可夫擴散和量子傳播。藉此我們示範:(一)量子傳播可遠比古典傳播更快地,甚至達指數倍快地散佈至網路各節點;(二)在無序環境中,雜質對量子傳播的干擾影響較對古典擴散更顯著。在論文最後,我們討論能譜結構和傳播性質的關係。
    Complex systems can be distilled into a large number of interacting components; data about complex systems often are schematized as graphs or networks. The study of the dynamics across the links and nodes in networks, which can describe e.g. information or energy flows, has become a popular and important topic in many scientific disciplines. For example, in condensed matter physics, many properties, such as electrical conductivity and thermal conductivity, can be understood in terms of dynamics of electrons and elementary excitations in crystals or in some non-crystalline structures. Another example is intracellular transport in biological systems.

    In this thesis we study classical Markovian-diffusion and quantum transport on several types of discrete lattices and percolation clusters. We demonstrate that (i) quantum spreading can transverse a network exponentially faster than its classical counterpart; (ii) slowdown by static disorder is more pronounced for quantum transport than for classical diffusion. Finally, connections between spectral properties and dynamical properties are discussed.
    Reference: [1] E. Bullmore and O. Sporns, Nat Rev Neurosci 10, 186 (2009).
    [2] E. Farhi and S. Gutmann, Phys. Rev. A 58, 915 (1998).
    [3] E. Collini et al., Nature 463, 644 (2010).
    [4] S. L. Masoud Mohseni, Patrick Rebentrost and A. Aspuru-Guzik, Journal of Chemical Physics 129 (2008).
    [5] Y. G. Sinai, Theory Probab. Appl. 27, 256–268 (1982).
    [6] M. Fratini et al., Nature 466, 841 (2010).
    [7] N. Poccia et al., Nat Mater 10, 733 (2011).
    [8] S. R. Broadbent and J. M. Hammersley, Proc. Cam. Phil. Soc. 53, 629 (1957).
    [9] D. Stauffer and A. Aharony, Introduction to Percolation Theory, CRC Press, Oxford, 1992.
    [10] J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976).
    [11] P. L. Leath, Phys. Rev. B 14, 5046 (1976).
    [12] Z. Alexandrowicz, Physics Letters A 80, 284 (1980).
    [13] M. E. J. Newman and R. M. Ziff, Phys. Rev. E 64, 016706 (2001).
    [14] P. G. de Gennes, La Recherche 7, 919 (1976).
    [15] S. Alexander and R. Orbach, J. Physique Lett. 43, L625 (1982).
    [16] R. Rammal and G. Toulouse, J. Physique Lett. 44, 13 (1983).
    [17] K. C. Chang, On quantum simulation: Quantum random walks and quantum adiabatic optimization, Master’s thesis, National Chengchi University, Taipei, Taiwan, 2012.
    [18] D. J. Thouless, Phys. Rev. Lett. 39, 1167–1169 (1977).
    [19] J. T. Edwards and D. J. Thouless, J. Phys. C 5, 807 (1972).
    [20] F. Pi ́echon, Phys. Rev. Lett. 76, 4372–4375 (1996).
    [21] A. P. Young and H. Rieger, Phys. Rev. B 53, 8486 (1996).
    [22] H. Rieger and A. P. Young, Phys. Rev. B 53, 3328 (1996).
    Description: 碩士
    國立政治大學
    應用物理研究所
    100755008
    102
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G1007550081
    Data Type: thesis
    Appears in Collections:[應用物理研究所 ] 學位論文

    Files in This Item:

    File SizeFormat
    008101.pdf8668KbAdobe PDF505View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告
    1.本網站之數位內容為國立政治大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,惟仍請適度,合理使用本網站之內容,以尊重著作權人之權益。商業上之利用,則請先取得著作權人之授權。
    2.本網站之製作,已盡力防止侵害著作權人之權益,如仍發現本網站之數位內容有侵害著作權人權益情事者,請權利人通知本網站維護人員(nccur@nccu.edu.tw),維護人員將立即採取移除該數位著作等補救措施。
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback