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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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量子耗散与量子输运的级联方程组方法
, PP. 1129-1152
Keywords: 量子耗散,量子输运,开放体系,级联方程组
Abstract:
级联方程已成为研究量子开放系统的稳态性质和动力学过程的重要方法。本文旨在系统综述量子耗散和量子输运的级联方程组方法的建立、发展以及在理论、算法和应用方面的一些最新进展。级联方程形式理论的建立以影响泛函路径积分为基础,并具有数值上的高效性和应用上的灵活性,可用于研究分子体系的复杂动力学过程以及强关联电子体系中的量子输运。其级联耦合结构以非微扰的方式揭示了多体相互作用、体系-环境耦合、非马尔可夫记忆等的综合效应。作为应用示例,我们采用级联方程模拟了生物光富集体系的二维相干动力学光谱以及含时电子输运过程中的动态近藤效应。
| [1] | Engel G S, Calhoun T R, Read E L, Ahn T K, Man al T, Cheng Y C, Blankenship R E, Fleming G R. Nature, 2007, 446: 782-86
|
| [2] | Panitchayangkoon G, Hayes D, Fransted K A, Caram J R, Harel E, Wen J, Blankenship R E, Engel G S. Proc. Natl. Acad. Sci. USA, 2010, 107: 12766-12770
|
| [3] | Collini E, Wong C Y, Wilk K E, Curmi P M G, Brumer P, Scholes G D. Nature, 2010, 463: 644-647
|
| [4] | Blankenship R E. Molecular Mechanisms of Photosyn-thesis, BlackwellScience: Oxford, 2002
|
| [5] | Van Amerongen H, Valkunas L, van Grondelle R. Photosythetic Exictons, Singapore: World Scientic, 2000
|
| [6] | Ishizaki A, Fleming G R. J. Chem. Phys., 2009, 130: art. no. 234111.
|
| [7] | Tanimura Y. J. Phys. Soc. Jpn., 2006, 75: art. no. 082001
|
| [8] | Yan Y A, Yang F, Liu Y, Shao J S. Chem. Phys. Lett., 2004, 395: 216-221
|
| [9] | Shao J S. J. Chem. Phys., 2004, 120: 5053-5056
|
| [10] | Xu R X, Yan Y J. Phys. Rev. E, 2007, 75: art. no. 031107
|
| [11] | Weiss U. Quantum Dissipative Systems, 3rd ed. Series in Modern Condensed Matter Physics, Singapore: World Scientific, 2008. Vol. 13
|
| [12] | Kleinert H. PathIntegrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 5th ed. Singapore: World Scientific, 2009
|
| [13] | Xu J, Xu R X, Yan Y J. New J. Phys., 2009, 11: Singapore: art. no. 105037
|
| [14] | Xu R X, Tian B L, Xu J, Shi Q, Yan Y J. J. Chem. Phys., 2009, 131: art. no. 214111
|
| [15] | Tanaka M, Tanimura Y. J. Chem. Phys., 2010, 132: art. no. 214502
|
| [16] | Ishizaki A, Tanimura Y. J. Chem. Phys., 2006, 125: art. no. 084501
|
| [17] | Zhu K B, Xu R X, Zhang H Y, Hu J, Yan Y J. J. Phys. Chem. B, 2011, 115: 5678-5684
|
| [18] | Xu J, Xu R X, Abramavicius D, Zhang H D, Yan Y J. Chin. J. Chem. Phys., 2011, 24: 497-506
|
| [19] | Chen L P, Zheng R H, Jing Y Y, Shi Q. J. Chem. Phys., 2011, 134: art. no. 194508
|
| [20] | Hein B, Kreisbeck C, Kramer T, Rodr韌uez M. New J. Phys., 2012, 14: art. no. 023018
|
| [21] | Taylor J, Guo H, Wang J. Phys. Rev. B, 2001, 63: art. no. 245407
|
| [22] | Ke S H, Baranger H U, Yang W T. Phys. Rev. B, 2004, 70: art. no. 085410
|
| [23] | Toher C, Filippetti A, Sanvito S, Burke K. Phys. Rev. Lett., 2005, 95: art. no. 146402
|
| [24] | Bruder C, Schoeller H. Phys. Rev. Lett., 1994, 72: 1076
|
| [25] | Pedersen J N, Wacker A. Phys. Rev. B, 2005, 72: art. no. 195330
|
| [26] | Horváth B, Lazarovits B, Sauret O, Zaránd G. Phys. Rev. B, 2008, 77: art. no. 113108
|
| [27] | Zheng X, Jin J S, Yan Y J. J. Chem. Phys., 2008, 129: art. no. 184112
|
| [28] | Zheng X, Jin J S, Yan Y J. New J. Phys., 2008, 10: art. no. 093016
|
| [29] | Jin J S, Welack S, Luo J Y, Li X Q, Cui P, Xu R X, Yan Y J. J. Chem. Phys., 2007, 126: art. no. 134113
|
| [30] | Hu J, Luo M, Jiang F, Xu R X, Yan Y J. J. Chem. Phys., 2011, 134: art. no. 244106
|
| [31] | Yan Y J. Phys. Rev. A, 1998, 58: 2721-2732
|
| [32] | Xu R X, Yan Y J. J. Chem. Phys., 2002, 116: 9196-9206
|
| [33] | Ding J J, Xu R X, Yan Y J. J. Chem. Phys., 2012, Submitted
|
| [34] | Xu J, Xu R X, Luo M, Yan Y J. Chem. Phys., 2010, 370: 109-114
|
| [35] | Baker Jr G A, Graves-Morris P. Pad? Approximants, 2nd ed. New York: Cambridge University Press, 1996
|
| [36] | Bulla R, Costi T A, Pruschke T. Rev. Mod. Phys., 2008, 80: 395
|
| [37] | Cheng Y C, Fleming G R. Annu. Rev. Phys. Chem., 2009, 60: 241-262
|
| [38] | Rebentrost P, Mohseni M, Kassal I, Lloyd S, Aspuru-Guzik A. New J. Phys., 2009, 11: art. no. 033003
|
| [39] | Rebentrost P, Shim S, Yuen-Zhou J, Aspuru-Guzik A. Procedia Chem., 2011, 3: 332-346
|
| [40] | Kim J H, Cao J S. J. Phys. Chem. B, 2010, 114: 16189-16197
|
| [41] | F鑦e G, Mah? A, Berroir J M, Kontos T, Placcais B, Glattli D C, Cavanna A, Etienne B, Jin Y. Science, 2007, 316: 1169-1172
|
| [42] | Li X Q, Yan Y J. Phys. Rev. B, 2007, 75: art. no. 075114
|
| [43] | Li G Q, Schreiber M, Kleinekath？fer U. Europhys. Lett., 2007, 79: art. no. 27006
|
| [44] | MacDonald D K C. Noise and Fluctuations: AnIn-troduction, New York: Wiley, 1962. Ch. 2. 2. 1.
|
| [45] | Deblock R, Onac E, Gurevich L, Kouwen-hoven L P. Science, 2003, 301: 203-206
|
| [46] | Aguado R, Kouwenhoven L P. Phys. Rev. Lett., 2000, 84: 1986-1989
|
| [47] | Hanke U, Galperin Y M, Chao K A, Zou N. Phys. Rev. B, 1993, 48: 17209-17216
|
| [48] | Anderson P W. Phys. Rev., 1961, 124: 41-53
|
| [49] | Shao J S, Zhou Y. Theoretical Chemistry: Principles and Applications (Shuai Z G, Shao J S, Eds), Beijing: Science Press, 2008. 511-550
|
| [50] | Runge E, Gross E K U. Phys. Rev. Lett., 1984, 52: 997-1000
|
| [51] | Zheng X, Chen G H, Mo Y, Koo S K, Tian H, Yam C Y, Yan Y J. J. Chem. Phys., 2010, 133: art. no. 114101
|
| [52] | Wen S Z, Koo S K, Yam C Y, Zheng X, Yan Y J, Su Z M, Fan K N, Cao L, Wang W P, Chen G. J. Phys. Chem. B, 2011, 115: 5519-5525
|
| [53] | Kurth S, Stefanucci G, Khosravi E, Verdozzi C, Gross E K U. Phys. Rev. Lett., 2010, 104: art. no. 236801.
|
| [54] | Stefanucci G, Kurth S. Phys. Rev. Lett., 2011, 107: art. no. 216401
|
| [55] | Lee H, Cheng Y C, Fleming G R. Science, 2007, 316: 1462-1465
|
| [56] | Calhoun T R, Ginsberg N S, Schlau-Cohen G S, Cheng Y C, Ballottari M, Bassi R, Fleming G R. J. Phys. Chem. B, 2009, 113: 16291-16295
|
| [57] | Ishizaki A, Fleming G R. J. Chem. Phys., 2009, 130: art. no. 234110.
|
| [58] | Tanimura Y. Phys., Rev., A, 1990, 41: 6676-6687
|
| [59] | Xu R X, Cui P, Li X Q, Mo Y, Yan Y J. J. Chem. Phys., 2005, 122: art. no. 041103.
|
| [60] | Jin J S, Zheng X, Yan Y J. J. Chem. Phys., 2008, 128: art. no. 234703
|
| [61] | Feynman R P, Vernon Jr F L. Ann. Phys., 1963, 24: 118-173
|
| [62] | Ishizaki A, Fleming G R. Proc. Natl. Acad. Sci. USA, 2009, 106: 17255-17260
|
| [63] | Shi Q, Chen L P, Nan G J, Xu R X, Yan Y J. J. Chem. Phys., 2009, 130: art. no. 164518
|
| [64] | Ishizaki A, Tanimura Y. J. Phys. Chem. A, 2007, 111: 9269-9276
|
| [65] | Chen L P, Zheng R H, Shi Q, Yan Y J. J. Chem. Phys., 2010, 132: art. no. 024505
|
| [66] | Tian B L, Ding J J, Xu R X, Yan Y J. J. Chem. Phys., 2010, 133: art. no. 114112
|
| [67] | Ding J J, Xu J, Hu J, Xu R X, Yan Y J. J. Chem. Phys., 2011, 135: art. no. 164107
|
| [68] | Lu W, Ji Z, Pfeiffer L, West K W, Rimberg A J. Nature, 2003, 423: 422-425
|
| [69] | Lang N D, Avouris P. Phys. Rev. Lett., 2000, 84: 358-361
|
| [70] | Xue Y Q, Datta S, Ratner M A. Chem. Phys., 2002, 281: 151-170
|
| [71] | Brandbyge M, Mozos J L, Ordej髇 P, Taylor J, Stokbro K. Phys. Rev. B, 2002, 65: art. no. 165401
|
| [72] | Yeyati A L, Mart? n-Rodero A, Flores F. Phys. Rev. Lett., 1993, 71: 2991-2994
|
| [73] | Datta S. Nanotechnology, 2004, 15: S433-S451
|
| [74] | Meir Y, Wingreen N S, Lee P A. Phys. Rev. Lett., 1993, 70: 2601-2604
|
| [75] | K？nig J, Schoeller H, Sch？n G. Phys. Rev. Lett., 1996, 76: 1715-1718
|
| [76] | Kadanoff L P, Baym G. Quantum Statistical Mechanics, New York: Benjamin, 1962
|
| [77] | Dahlen N E, van Leeuwen R. Phys. Rev. Lett., 2007, 98: art. no. 153004
|
| [78] | My？h？nen P, Stan A, Stefanucci G, van Leeuwen R. Europhys. Lett., 2008, 84: art. no. 67001
|
| [79] | Muralidharan B, Ghosh A W, Datta S. Phys. Rev. B, 2006, 73: art. no. 155410
|
| [80] | Weiss S, Eckel J, Thorwart M, Egger R. Phys. Rev. B, 2008, 77: art. no. 195316
|
| [81] | Zheng X, Luo J Y, Jin J S, Yan Y J. J. Chem. Phys., 2009, 130: art. no. 124508
|
| [82] | Zheng X, Jin J S, Welack S, Luo M, Yan Y J. J. Chem. Phys., 2009, 130: art. no. 164708
|
| [83] | Hu J, Xu R X, Yan Y J. J. Chem. Phys., 2010, 133: art. no. 101106
|
| [84] | Shi Q, Chen L P, Nan G J, Xu R X, Yan Y J. J. Chem. Phys., 2009, 130: art. no. 084105
|
| [85] | Yan Y J, Xu R X. Annu. Rev. Phys. Chem., 2005, 56: 187-219
|
| [86] | Caldeira A O, Leggett A J. Ann. Phys., 1983, 149: 374-456, 153, 445(Erratum) (1984)
|
| [87] | Ryder L H. Quantum Field Theory, 2nd ed, Cambridge: Cambridge University Press, 1996
|
| [88] | Press W H, Teukolsky S A, Vetterling W T, Flannery B P. Numerical Recipesin Fortran, New York : Cambridge University Press, 1992
|
| [89] | Croy A, Saalmann U. Phys. Rev. B, 2009, 80: art. no. 073102
|
| [90] | Wu J L, Liu F, Shen Y, Cao J S, Silbey R J. New J. Phys., 2010, 12: art. no. 105012
|
| [91] | Moix J, Wu J L, Huo P F, Coker D, Cao J S. J. Phys. Chem. Lett., 2011, 2: 3045-3052
|
| [92] | Mukamel S. Annu. Rev. Phys. Chem., 2000, 51: 691-729
|
| [93] | Abramavicius D, Palmieri B, Voronine D V, Sanda F, Mukamel S. Chem. Rev., 2009, 109: 2350-2408
|
| [94] | Mukamel S, Tanimura Y, Hamm P(Eds). Coherent Multidimensional Optical Spectroscopy, Special Issue of Acc. Chem. Res., 2009, 42(9): 1207-1469
|
| [95] | Cho M, Vaswani H M, Brixner T, Stenger J, Fleming G R. J. Phys. Chem. B, 2005, 109: 10542-10556
|
| [96] | Cui P, Li X Q, Shao J S, Yan Y J. Phys. Lett. A, 2006, 357: 449-453
|
| [97] | Jin J S, Zheng X, Yan Y J. AIP Conference Proceedings, 2008, 1074: 96-101
|
| [98] | Quantum Noise in Mesoscopic Physics, Nazarov Y V(Ed), Springer, 2003
|
| [99] | Wang S K, Jiao H, Li F, Li X Q, Yan Y J. Phys. Rev. B, 2007, 76: art. no. 125416
|
| [100] | Aguado R, Brandes T. Phys. Rev. Lett., 2004, 92: art. no. 206601
|
| [101] | Luo J Y, Li X Q, YanY J. Phys. Rev. B, 2007, 76: art. no. 085325
|
| [102] | Thielmann A, Hettler M H, K？nig J, Sch？n G. Phys. Rev. B, 2003, 68: art. no. 115105
|
| [103] | Meir Y, Golub A. Phys. Rev. Lett., 2002, 88: art. no. 116802
|
| [104] | Ding G H, Ng T K. Phys. Rev. B, 1997, 56: art. no. R15521
|
| [105] | Hung K M, Wu G Y. Phys. Rev. B, 1993, 48: 14687-14689
|
| [106] | Chen L Y, Ting C S. Phys. Rev. B, 1991, 43: 4534-4537
|
| [107] | Kreisbeck C, Kramer T, Rodr韌uez M, Hein B. J. Chem. Theory Comput., 2011, 7: 2166-2174
|
| [108] | Zheng X, Wang F, Yam C Y, Mo Y, Chen G H. Phys. Rev. B, 2007, 75: art. no. 195127
|
| [109] | Yam C Y, Mo Y, Wang F, Li X, Chen G H, Zheng X, Matsuda Y, W A GoddardIII J T. Nanotechnology, 2008, 19: art. no. 495203
|
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