Skip navigation

DSpace

機構典藏 DSpace 系統致力於保存各式數位資料(如:文字、圖片、PDF)並使其易於取用。

點此認識 DSpace
DSpace logo
English
中文
  • 瀏覽論文
    • 校院系所
    • 出版年
    • 作者
    • 標題
    • 關鍵字
    • 指導教授
  • 搜尋 TDR
  • 授權 Q&A
    • 我的頁面
    • 接受 E-mail 通知
    • 編輯個人資料
  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43504
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor朱時宜
dc.contributor.authorShih-Han Hungen
dc.contributor.author洪士涵zh_TW
dc.date.accessioned2021-06-15T02:22:33Z-
dc.date.available2010-08-20
dc.date.copyright2009-08-20
dc.date.issued2009
dc.date.submitted2009-08-18
dc.identifier.citation[1] P. K. Tien and J. P. Gordon. Multiphoton process observed in the interaction of microwave fields with the tunneling between superconductor films. Physical Review, 129(2):647-651, Jan 1963.
[2] J. Rammer and H. Smith. Quantum field-theoretical methods in transport theory of metals. Review of Modern Physics, 58(2):323-359, Apr 1986.
[3] G. Stefanucci, S. Kurth, A. Rubio, and E. K. U. Gross. Time-dependent approach to electron pumping in open quantum sytems. Physical Review B (Condensed Matter and Materials Physics), 77(7):075339, 2008.
[4] Langhui Wan, Yadong Wei, and Jian Wang. Shot noise in a superconducting hybrid molecular device. 2006.
[5] Ned S. Wingreen and Yigal Meir. Anderson model out of equilibrium: Noncrossing-approximation approach to transport through a quantum dot. Physical Review B, 49(16):11040-11052, Apr 1994.
[6] Antti-Pekka Jauho, Ned S. Wingreen, and Yigal Meir. Time-dependent transport in interacting and noninteracting resonant-tunneling systems. Physical Review B, 50(8):5528-5544, Aug 1994.
[7] Yigal Meir and Ned S. Wingreen. Landauer formula for the current through an interacting electron region. Physical Review Letters, 68(16):2512-2515, Apr 1992.
[8] Sebastien Camalet, Sigmund Kohler, and Peter Hanggi. Shot-noise control in ac-driven nanoscale conductors. Physical Review B, 70(15):155326, Oct 2004.
[9] Sebastien Camalet, Jorg Lehmann, Sigmund Kohler, and Peter Hanggi. Current noise in ac-driven nanoscale conductors. Physical Review Letters, 90(21):210602, May 2003.
[10] Sigmund Kohler, Jorg Lehmann, and Peter Hanggi. Driven quantum transport on the nanoscale. Physics Reports, 406(6):379-443, 2005.
[11] C. A. Stafford and Ned S. Wingreen. Resonant photon-assisted tunneling through a double quantum dot: An electron pump from spatial rabi oscillations. Physical Review Letters, 76(11):1916-1919, Mar 1996.
[12] Jon H. Shirley. Solution of the Schrodinger equation with a Hamiltonian periodic in time. Physical Review, 138(4B):B979-B987, May 1965.
[13] Ken ichi Noba. Current control in periodically driven quantum dots using nonadiabatic double crossing. Physics Letters A, 372(40):6212-6215, 2008.
[14] Jorg Lehmann, Sebastien Camalet, Sigmund Kohler, and Peter Hanggi. Laser controlled molecular switches and transistors. Chemical Physics Letters, 368(3-4):282-288, 2003.
[15] A. F. Amin, G. Q. Li, A. H. Phillips, and U. Kleinekathofer. Coherent control of the spin current through a quantum dot. Eur. Phys. J. B, 68(1):103-109, Mar 2009.
[16] GuangQi Li, Michael Schreiber, and Ulrich Kleinkathofer. Suppressing the current through molecular wires: comparison of two mechanisms. New Journal of Physics, 10(8):085005, Aug 2008.
[17] Joseph Maciejko, Jian Wang, and Hong Guo. Time-dependent quantum transport far from equilibrium: An exact nonlinear response theory. Physical Review B (Condensed Matter and Materials Physics), 74(8):085324, 2006.
[18] Sven Welack, Michael Schreiber, and Ulrich Kleinekathofer. The influence of ultrafast laser pulses on electron transfer in molecular wires studied by a non-Markovian density-matrix approach. The Journal of Chemical Physics, 124(4):044712-9, 2006.
[19] Danqiong Hou, Yuhui He, Xiaoyan Liu, Jinfeng Kang, Jie Chen, and Ruqi Han. Time-dependent transport: Time domain recursively solving NEGF technique. Physica E: Low-dimensional Systems and Nanostructures, 31(2):191-195, 2006.
[20] P Myohanen, A. Stan, G. Stefanucci, and R. van Leeuwen. A many-body approach to quantum transport dynamics: Initial correlations and memory effects. New Journal of Physics, 10(8):085005, Aug 2008.
[21] F. J. Kaiser, P. Hanggi, and S. Kohler. Coulomb repulsion effects in driven electron transport. The European Physical Journal B - Condensed Matter and Complex Systems, 54(2):201-209, 2006.
[22] Xiao-Ming Tong and Shih-I Chu. Theoretical study of multiple high-order harmonic generation by intense ultrashort pulsed laser fields: A new generalized pseudospectral time-dependent method. Chemical Physics, 217(2-3):119-130, 1997.
[23] Xiao-Min Tong and Shih-I Chu. Multiphoton ionization and high-order harmonic generation of He, Ne, and Ar atoms in intense pulsed laser fields: Self-interaction-free time-dependent density-functional theoretical approach. Physical Review A, 64(1):013417, Jun 2001.
[24] Shih-I Chu and William P. Reinhardt. Intense field multiphoton ionization via complex dressed states: Application to the H atom. Physical Review Letters, 39(19):1195-1198, Nov 1977.
[25] Xi Chu and Shih-I Chu. Complex-scaling generalized pseudospectral method forquasienergy resonance states in two-center systems: Application to the Floquet study of charge resonance enhanced multiphoton ionization of molecular ions in intense low-frequency laser fields. Physical Review A, 63(1):013414, Dec 2000.
[26] Tak-San Ho and Shih-I Chu. Semiclassical many-mode Floquet theory. II. Nonlinear multiphoton dynamics of a 2-level system in a strong bichromatic field. Journal of Physics B: Atomic, Molecular and Optical Physics, 17:2101-2128, 1984.
[27] Tak-San Ho and Shih-I Chu. Semiclassical many-mode Floquet theory. III. SU(3) dynamical evolution of three-level systems in intense bichromatic fields. Physical Review A, 31:659-676, 1985.
[28] Tak-San Ho and Shih-I Chu. Semiclassical many-mode Floquet theory. IV. Coherent population trapping and SU(3) dynamical evolution of dissipative three level systems in intense bichromatic fields. Physical Review A, 32:377-395, 1985.
[29] Tak-San Ho and Shih-I Chu. Coupled dressed-states formalism for multiphoton excitation and population inversion by coherent pulses. Chemical Physics Letters, 141(4):315-322, 1987.
[30] Tak-San Ho, Shih-I Chu, and James V. Tietz. Semiclassical many-mode Floquet theory. Chemical Physics Letters, 96:464-471, 1983.
[31] Dmitry A. Telnov and Shih-I Chu. Ab initio study of high-order harmonic generation of h2+ in intense laser fields: Time-dependent non-hermitian Floquet approach. Physical Review A, 71(1):013408, Jan 2005.
[32] N. J. Tao. Electron transport in molecular junctions. Nat Nano, 1(3):173-181, 2006.
[33] F. Grossmann, T. Dittrich, P. Jung, and P. Hanggi. Coherent destruction of tunneling. Physical Review Letters, 67(4):516-519, Jul 1991.
[34] F. Grossmann and P. Hanggi. Localization in a driven two-level dynamics. EPL (Europhysics Letters), 18(7):571, 1992.
[35] E. Kierig, U. Schnorrberger, A. Schietinger, J. Tomkovic, and M. K. Oberthaler. Single-particle tunneling in strongly driven double-well potentials. Physical Review Letterss, 100(19):190405, 2008.
[36] A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tunnermann, V. A. Vysloukh, F. Lederer, and L. Torner. Inhibition of light tunneling in waveguide arrays. Physical Review Letterss, 102(15):153901, 2009.
[37] G. Della Valle, M. Ornigotti, E. Cianci, V. Foglietti, P. Laporta, and S. Longhi. Visualization of coherent destruction of tunneling in an optical double well system. Physical Review Letterss, 98(26):263601, 2007.
[38] S. I. Chu and D. A. Telnov. Beyond the Floquet theorem: generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser. Phys. Rep., 390:1-131, 2004. Invited review article.
[39] P. K. Aravind and J. O. Hirschfelder. Two-state systems in semiclassical and quantized fields. The Journal of Physical Chemistry, 88(21):4788{4801, 1984.
[40] Henrik Bruus and Karsten Flensberg. Many-Body Quantum Theory in Condensed Matter Physics: An Introduction. Oxford University Press, USA, illustrated edition, November 2004.
[41] Alexander L. Fetter and John DirkWalecka. Quantum Theory of Many-Particle Systems. Dover Publications, June 2003.
[42] Hartmut Haug and Antti-Pekka Jauho. Quantum Kinetics in Transport and Optics of Semiconductors. Springer, corrected edition, February 2004.
[43] Leo P. Kadano and Gordon Baym. Quantum statistical mechanics: Green's function methods in equilibrium and nonequilibrium problems. Addison-Wesley Pub. Co., Advanced Book Program (Redwood City, Calif.), 1989.
[44] F.J. Kaiser and S. Kohler. Shot noise in non-adiabatically driven nanoscale conductors. Annalen der Physik, 16(10-11):702-719, 2007.
[45] Michael Strass, Peter Hanggi, and Sigmund Kohler. Nonadiabatic electron pumping: Maximal current with minimal noise. Physical Review Letters, 95(13):130601, Sep 2005.
[46] S. Ashhab, J. R. Johansson, A. M. Zagoskin, and Franco Nori. Two-level systems driven by large-amplitude fields. Physical Review A (Atomic, Molecular, and Optical Physics), 75(6):063414, 2007.
[47] S.-K. Son, S. Han, and S. I. Chu. Floquet formulation for the investigation of multiphoton quantum interference in a superconducting qubit driven by a strong ac field. Physical Review A, 79:032301, 2009.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43504-
dc.description.abstract奈米尺度系統的電子傳輸常假設於寬帶極限之下,在此極限下,記憶效應會隨之忽略。在此論文中,我們將Floquet理論應用於奈米尺度系統之電子傳輸,探討在時變外加場之下記憶效應的多光子同調穿隧截止效應。以電極─雙量子點─電極系統為例,電極與量子點之交互作用假設為勞侖茲分佈函數時,探討記憶效應之影響以及多光子同調穿隧截止效應之物理機制。zh_TW
dc.description.abstractElectron transport through nanoscale systems are often studied in the wide-band limit without taking the memory effect into consideration. In this thesis, we present a novel Floquet approach in electron transport through nanoscale systems beyond the wide-band limit to explore the multi-photon (MP) coherent destruction of tunneling (CDT) with memory effect in the presence of time-dependent driving field. As a case study, the time-averaged current is calculated in an electrode-double quantum dots-electrode system driven by a periodic field using single Lorentzian spectral density function and a detailed analysis is presented to illustrate the origin of MP-CDT as well as the significance of memory effect.en
dc.description.provenanceMade available in DSpace on 2021-06-15T02:22:33Z (GMT). No. of bitstreams: 1
ntu-98-R96222044-1.pdf: 914051 bytes, checksum: 05ed279465db5d2105a06d345ab6928e (MD5)
Previous issue date: 2009
en
dc.description.tableofcontents1 Introduction 1
2 Generalized Floquet Formalism and Quasienergy Methods 5
2.1 The Schrodinger Equation with Periodic Hamiltonian 6
2.2 Properties of Floquet Hamiltonian 9
3 Photon-Assisted Transport in nanoscale systems 13
3.1 Tien-Gordon Model 14
3.2 Nonequilibrium Green's Function technique in mesoscopic systems 16
3.2.1 Model Hamiltonian 17
3.2.2 General expression for the current 19
3.3 Equation of motion approach to the electrode-wire-electrode system 22
3.3.1 Charge, current and current noise 24
3.3.2 The Heisenberg equation of motion 27
3.3.3 Lead elimination 30
3.3.4 Wide-Band Limit 38
4 Memory effect in nanoscale systems driven by a periodic field: A generalized Floquet approach 41
4.1 Lorentzian spectral density function 42
4.2 Reformulating equation of propagator using single Lorentzian spectral density model 45
4.3 Multi-photon coherent destruction of tunneling through double quantum dots using single Lorentzian spectral density function 50
5 Summary and perspective 63
A Simple Proof of Floquet Theorem 65
B Contour-ordered Green's function 69
B.1 Time-ordered Green's function 69
B.2 Contour-Ordered Green's Function 71
List of Publications 77
Bibliography 79
dc.language.isoen
dc.subject奈米尺度系統zh_TW
dc.subject量子點zh_TW
dc.subject記憶效應zh_TW
dc.subject同調穿隧截止zh_TW
dc.subject電子傳輸zh_TW
dc.subjectmemory effecten
dc.subjectcoherent destruction of tunnelingen
dc.subjectquantum doten
dc.subjectelectron transporten
dc.subjectnanoscale systemen
dc.title以Floquet理論分析奈米尺度系統的電子傳輸zh_TW
dc.titleA Generalized Floquet Theory for the Treatment of Electron Transport of Nanoscale Systemsen
dc.typeThesis
dc.date.schoolyear97-2
dc.description.degree碩士
dc.contributor.oralexamcommittee管希聖,高英哲
dc.subject.keyword奈米尺度系統,電子傳輸,量子點,記憶效應,同調穿隧截止,zh_TW
dc.subject.keywordnanoscale system,electron transport,quantum dot,memory effect,coherent destruction of tunneling,en
dc.relation.page86
dc.rights.note有償授權
dc.date.accepted2009-08-19
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理研究所zh_TW
顯示於系所單位:物理學系

文件中的檔案:
檔案 大小格式 
ntu-98-1.pdf
  未授權公開取用
892.63 kBAdobe PDF
顯示文件簡單紀錄


系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。

社群連結
聯絡資訊
10617臺北市大安區羅斯福路四段1號
No.1 Sec.4, Roosevelt Rd., Taipei, Taiwan, R.O.C. 106
Tel: (02)33662353
Email: ntuetds@ntu.edu.tw
意見箱
相關連結
館藏目錄
國內圖書館整合查詢 MetaCat
臺大學術典藏 NTU Scholars
臺大圖書館數位典藏館
本站聲明
© NTU Library All Rights Reserved