Time-dependent transport in open systems based on quantum master equations

Journal of Computational Electronics

Volumn 12, Issue 3, 2013, Pages 363-374

  Knezevic, I ^a   Novakovic, B ^b  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b Purdue University   (United States)

Author keywords

Master equation; Non Markovian; Open system; Quantum transport

Indexed keywords

MANY-BODY QUANTUM SYSTEMS; MASTER EQUATIONS; NON-MARKOVIAN; NON-MARKOVIAN MASTER EQUATION; QUANTUM MASTER EQUATIONS; QUANTUM TRANSPORT; STATISTICAL OPERATORS; TIME-DEPENDENT TRANSPORT;

OPEN SYSTEMS; QUANTUM CHEMISTRY; QUANTUM ELECTRONICS; QUANTUM OPTICS;

SYSTEMS ANALYSIS;

EID: 84883255915     PISSN: 15698025     EISSN: 15728137     Source Type: Journal    
DOI: 10.1007/s10825-013-0474-7     Document Type: Article

References (73)

1. Alicki, R.; Lendi, K.: Quantum Dynamical Semigroups and Applications. Lecture Notes in Physics, vol. 286. Springer, Berlin (1987)
2. Breuer, H.P.; Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)
3. Breuer, H.P.; Laine, E.M.; Piilo, J.: Phys. Rev. Lett. 103, 210401 (2009)
4. ChruÅciński, D.; Kossakowski, A.: Phys. Rev. Lett. 104, 070406 (2010)
5. Rivas, A.; Huelga, S.F.; Plenio, M.B.: Phys. Rev. Lett. 105, 050403 (2010)
6. Wolf, M.M.; Eisert, J.; Cubitt, T.S.; Cirac, J.I.: Phys. Rev. Lett. 101, 150402 (2008)
7. Liu, B.H.; Li, L.; Huang, Y.F.; Li, C.F.; Guo, G.C.; Laine, E.M.; Breuer, H.P.; Piilo, J.: Nat. Phys. 7, 931 (2011)
8. Frensley, W.R.: Rev. Mod. Phys. 62, 745 (1990)
9. Hedegård, P.; Caldeira, A.O.: Phys. Scr. 35(5), 609 (1987)
10. Shi, W.; Zhao, X.; Yu, T.: http://arxiv.org/abs/1203.2219 (2012)
11. Gurvitz, S.A.; Prager, Y.S.: Phys. Rev. B 53, 15932 (1996)
12. Ovchinnikov, I.V.; Neuhauser, D.A.: J. Chem. Phys. 122, 024707 (2005)
13. Fischetti, M.V.: Phys. Rev. B 59, 4901 (1999)
14. Lindblad, G.: J. Phys. A 29, 4197 (1996)
15. Gorini, V.; Kossakowski, A.; Sudarshan, E.C.G.: J. Math. Phys. 17, 821 (1976)
16. Lindblad, G.: Commun. Math. Phys. 48, 199 (1976)
17. Davies, E.B.: Commun. Math. Phys. 39, 91 (1974)
18. van Hove, L.: Rev. Mod. Phys. 21, 517 (1955)
19. van Hove, L.: Physica 25, 268 (1959)
20. Chester, G.V.: Rep. Prog. Phys. 26, 411 (1963)
21. Lidar, D.A.; Bihary, Z.; Whaley, K.B.: Chem. Phys. 268, 35 (2001)
22. Haug, H.; Jauho, A.P.: Quantum Kinetics in Transport and Optics of Semiconductors. Springer, Berlin (1998)
23. Stefanucci, G.; van Leeuwen, R.: Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction. Cambridge University Press, Cambridge (2013)
24. Redfield, A.G.: IBM J. Res. Dev. 1, 19 (1957)
25. Fischetti, M.V.: J. Appl. Phys. 83, 270 (1998)
26. Gebauer, R.; Car, R.: Phys. Rev. Lett. 93, 160404 (2004)
27. Wingreen, N.S.; Jauho, A.P.; Meir, Y.: Phys. Rev. B 48(11), 8487 (1993)
28. Jauho, A.P.; Wingreen, N.S.; Meir, Y.: Phys. Rev. B 50, 5528 (1994)
29. Nazarov, Y.: Physica B 189, 57 (1993)
30. Stoof, T.H.; Nazarov, Y.V.: Phys. Rev. B 53, 1050 (1996)
31. Li, X.Q.; Luo, J.Y.; Yang, Y.G.; Cui, P.; Yan, Y.J.: Phys. Rev. B 71, 205304 (2005)
32. Harbola, U.; Esposito, M.; Mukamel, S.: Phys. Rev. B 74, 235309 (2006)
33. Esposito, M.; Galperin, M.: J. Phys. Chem. C 114, 20362 (2010)
34. Pedersen, J.N.; Wacker, A.: Phys. Rev. B 72, 195330 (2005)
35. Rivas, A.; Huelga, S.F.; Plenio, M.B.: Physica E 42, 595 (2010)
36. Karlström, O.; Emary, C.; Zedler, P.; Pedersen, J.N.; Bergenfeldt, C.; Samuelsson, P.; Brandes, T.; Wacker, A.: J. Phys. A, Math. Theor. 46, 065301 (2013)
37. Stefanucci, G.; Almbladh, C.O.: Phys. Rev. B 69, 195318 (2004)
38. Kraus, K.: Ann. Phys. 64, 311 (1971)
39. van Wonderen, A.J.; Lendi, K.: Europhys. Lett. 71, 737 (2005)
40. Nakajima, S.: Prog. Theor. Phys. 20, 948 (1958)
41. Zwanzig, R.: J. Chem. Phys. 33, 1338 (1960)
42. Shibata, F.; Takahashi, Y.; Hashitsume, N.: J. Stat. Phys. 17, 171 (1977)
43. Knezevic, I.; Ferry, D.K.: Phys. Rev. E 66, 016131 (2002)
44. Knezevic, I.; Ferry, D.K.: Phys. Rev. A 69, 012104 (2004)
45. Timm, C.: Phys. Rev. B 77, 195416 (2008)
46. Lindberg, M.; Koch, S.W.: Phys. Rev. B 38, 3342 (1988)
47. Bruder, C.; Schoeller, H.: Phys. Rev. Lett. 72, 1076 (1994)
48. Vaz, E.; Kyriakidis, J.: J. Phys. Conf. Ser. 107, 012012 (2008)
49. Vaz, E.; Kyriakidis, J.: Phys. Rev. B 81, 085315 (2010)
50. Vaz, E.; Kyriakidis, J.: Phys. Rev. B 86, 235310 (2012)
51. Gudmundsson, V.; Gainar, C.; Tang, C.S.; Moldoveanu, V.; Manolescu, A.: New J. Phys. 11, 113007 (2009)
52. Rossi, F.: Theory of Semiconductor Quantum Devices. NanoScience and Technology. Springer, Heidelberg (2011)
53. Zedler, P.; Schaller, G.; Kiesslich, G.; Emary, C.; Brandes, T.: Phys. Rev. B 80, 045309 (2009)
54. Schaller, G.; Brandes, T.: Phys. Rev. A 78, 022106 (2008)
55. Knezevic, I.: Phys. Rev. B 77, 125301 (2008)
56. Novakovic, B.; Knezevic, I.: Fortschr. Phys. 61, 323 (2013)
57. Osman, M.A.; Ferry, D.K.: Phys. Rev. B 36, 6018 (1987)
58. Kriman, A.M.; Kann, M.J.; Ferry, D.K.; Joshi, R.: Phys. Rev. Lett. 65, 1619 (1990)
59. Lugli, P.; Ferry, D.K.: IEEE Trans. Electron Devices 32, 2431 (1985)
60. Novakovic, B.: Quantum transport in the transient regime and unconventional geometries. Ph.D. thesis, University of Wisconsin-Madison (2012)
61. Nedjalkov, M.; Kosina, H.; Selberherr, S.; Ringhofer, C.; Ferry, D.K.: Phys. Rev. B 70, 115319 (2004)
62. Querlioz, D.; Dollfus, P.: The Wigner Monte-Carlo Method for Nanoelectronic Devices: A Particle Description of Quantum Transport and Decoherence. ISTE. Wiley, New York (2013)
63. Oriols, X.: Phys. Rev. Lett. 98, 066803 (2007)
64. Blatner, Y.M.; Büttiker, M.: Phys. Rep. 336, 1 (2000)
65. Rossi, F.; Kuhn, T.: Rev. Mod. Phys. 74, 895 (2002)
66. Wang, H.; Thoss, M.; Miller, W.H.: J. Chem. Phys. 115, 2979 (2001)
67. Thoss, M.; Wang, H.; Miller, W.H.: J. Chem. Phys. 115, 2991 (2001)
68. Caldeira, A.; Leggett, A.: Physica A 121(3), 587 (1983)
69. Sakurai, A.; Tanimura, Y.: J. Phys. Soc. Jpn. 82, 033707 (2013)
70. Velický, B.; Kalvová, A.; Śpička, V.: Phys. Rev. B 81, 235116 (2010)
71. Gabelli, J.; Feve, G.; Berroir, J.M.; Placais, B.; Cavanna, A.; Etienne, B.; Jin, Y.; Glattli, D.C.: Science 313, 499 (2006)
72. Büttiker, M.; Nigg, S.E.: Nanotechnology 18, 044029 (2007)
73. Knezevic, I.; Ferry, D.K.: Phys. Rev. E 67, 066122 (2003)