Quantum-to-classical correspondence in open chaotic systems

Journal of Physics A: Mathematical and General

Volumn 38, Issue 49, 2005, Pages 10663-10682

  Schomerus, Henning ^a   Jacquod, Philippe ^b,c  

^a LANCASTER UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28244497102     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/49/013     Document Type: Article

References (87)

1. Kouwenhoven L P, Marcus C M, McEuen P L, Tarucha S, Westervelt R M and Wingreen N S 1997 Electron Transport in Quantum Dots: Nato ASI Conference Proceedings ed L P Kouwenhoven, G Schön and L L Sohn (Dordrecht: Kluwer)
2. Alhassid Y 2000 Rev. Mod. Phys. 72 895
3. Aleiner I L, Brouwer P W and Glazman L I 2002 Phys. Rep. 358 309
4. Lichtenberg A J and Lieberman M A 1992 Regular and Chaotic Dynamics, Applied Mathematical Sciences vol 38 (New York: Springer)
5. Ott E 1993 Chaos in Dynamical Systems (Cambridge: Cambridge University Press)
6. Baranger H U, Jalabert R A and Stone A D 1993 Phys. Rev. Lett. 70 3876
7. Baranger H U, Jalabert R A and Stone A D 1993 Chaos 3 665
8. Marcus C M, Westervelt R M, Hopkings P F and Gossard A C 1993 Chaos 3 643
9. Haake F 2001 Quantum Signatures of Chaos 2nd edn (Berlin: Springer)
10. Stöckmann H-J 1999 Quantum Chaos (Cambridge: Cambridge University Press)
11. Bohigas O, Giannoni M-J and Schmit C 1984 Phys. Rev. Lett. 52 1
12. Berry M V 1985 Proc. R. Soc. A 400 229
13. Jalabert R A, Pichard J-L and Beenakker C W J 1994 Europhys. Lett. 27 255
14. Baranger H U and Mello P A 1994 Phys. Rev. Lett. 73 142
15. Beenakker C W J 1997 Rev. Mod. Phys. 69 731
16. Landauer R 1970 Phil. Mag. 21 863
17. Büttiker M 1986 Phys. Rev. Lett. 57 1761
18. Blümel R and Smilansky U 1990 Phys Rev. Lett. 64 241
19. Mehta M L 1991 Random Matrices (New York: Acadamic)
20. Mello P A 1995 Mesoscopic Quantum Physics ed E Akkermans, G Montambaux, J-L Pichard and J Zinn-Justin (Amsterdam: North-Holland)
21. Guhr T, Müller-Groeling A and Weidenmüller H A 1998 Phys. Rep. 299 189
22. Efetov K B 1997 Supersymmetry in Disorder and Chaos (Cambridge: Cambridge University Press)
23. Fyodorov Y V and Sommers H-S 1997 J. Math. Phys. 38 1918
24. Melsen J A, Brouwer P W, Frahm K M and Beenakker C W J 1996 Europhys. Lett. 35 7
25. Melsen J A, Brouwer P W, Frahm K M and Beenakker C W J 1997 Phys. Scr. T 69 223
26. Efetov K B 1983 Adv. Phys. 32 53
27. Brouwer P W 1995 Phys. Rev. B 51 16878
28. Nazmitdinov R G, Pichugin K N, Rotter I and Šeba P 2001 Phys. Rev. E 64 056214
29. Nazmitdinov R G, Pichugin K N, Rotter I and Šeba P 2002 Phys. Rev. B 66 085322
30. Nazmitdinov R G, Sim H-S, Schomerus H and Rotter I 2002 Phys. Rev. B 66 241302 (R)
31. Lewenkopf C H and Weidenmüller H A 1991 Ann. Phys. (NY) 212 53
32. Aleiner I L and Larkin A I 1996 Phys. Rev. B 54 14423
33. Berman G P and Zaslavsky G M 1978 Physica A 91 450
34. Jacquod Ph, Schomerus H and Beenakker C W J 2003 Phys. Rev. Lett. 90 116801
35. Tworzydlo J, Tajic A, Schomerus H and Beenakker C W J 2003 Phys. Rev. B 68 115313
36. Borgonovi F, Guarneri I and Shepelyansky D L 1991 Phys. Rev. A 43 4517
37. Borgonovi F and Guarneri I 1992 J. Phys. A: Math. Gen. 25 3239
38. Ossipov A, Kottos T and Geisel T 2003 Europhys. Lett. 62 719
39. Vavilov M G and Larkin A I 2003 Phys. Rev. B 67 115335
40. Schomerus H and Tworzydlo J 2004 Phys. Rev. Lett. 93 154102
41. Jacquod Ph and Sukhorukov E V 2004 Phys. Rev Lett. 92 116801
42. Aigner F, Rotter S and Burgdörfer J 2005 Phys. Rev. Lett. 94 216801
43. Marconcini P, Macucci M, Iannaccone G, Pellegrini B and Marola G 2004 Preprint cond-mat/0411691
44. Silvestrov P G, Goorden M C and Beenakker C W J 2003 Phys. Rev. B 67 241301 (R)
45. Whitney R S and Jacquod Ph 2005 Phys. Rev. Lett. 94 116801
46. Rahav S and Brouwer P W 2005 Phys. Rev. Lett. 95 056806
47. Rahav S and Brouwer P W 2005 Preprint cond-mat/0507035
48. Adagideli I 2003 Phys. Rev. B 68 233308
49. Tworzydlo J, Tajic A and Beenakker C W J 2004 Phys. Rev. B 70 205324
50. Tworzydlo J, Tajic A and Beenakker C W J 2003 Phys. Rev. B 69 165318
51. Richter K and Sieber M 2002 Phys. Rev. Lett. 89 206801
52. Müller S et al 2004 Phys. Rev. Lett. 93 014103
53. For a review on shot noise, see Blanter Ya M and Büttiker M 2000 Phys. Rep. 336 1
54. Büttiker M 1990 Phys. Rev. Lett. 65 2901
55. Agam O, Aleiner I and Larkin A 2000 Phys. Rev. Lett. 85 3153
56. Oberholzer S, Sukhorukov E V, Strunk C, Schönenberger C, Heinzel T and Holland M 2001 Phys. Rev. Lett. 86 2114
57. Oberholzer S, Sukhorukov E V and Schönenberger C 2002 Nature 415 765
58. Beenakker C W J and Schönenberger C 2003 Phys. Today 85 37
59. Beenakker C W J and van Houten H 1991 Phys. Rev. B 43 12066
60. Altshuler B L 1985 JETP Lett. 41 648
61. Lee P A and Stone A D 1985 Phys. Rev. Lett. 55 1622
62. Narimanov E E, Hackenbroich G, Jacquod Ph and Stone A D 1999 Phys. Rev. Lett. 83 4991
63. Georgeot B and Prange R E 1995 Phys. Rev. Lett. 74 4110
64. Prange R E 2003 Phys. Rev. Lett. 90 070401
65. Ozorio de Almeida A M and Vallejos R O 2001 Physica E 9 488-93
66. Vallejos R O and Ozorio de Almeida A M 1999 Ann. Phys. 278 86-108
67. Fyodorov Y V and Sommers H-J 2000 JETP Lett. 72 422
68. Zyczkowski K and Sommers H-J 2000 J. Phys. A: Math. Gen. 33 2045
69. W T Lu, Sridhar S and Zworski M 2003 Phys. Rev. Lett. 91 154101
70. Nonnenmacher S and Zworski M 2005 J. Phys. A: Math. Gen. 38 10683-702
71. Beck C and Schloegel F 1993 Thermodynamics of Chaotic Systems: An Introduction (Cambridge: Cambridge University Press)
72. Kosztin I, Maslov D L and Goldbart P M 1995 Phys. Rev. Lett. 75 1735
73. For a recent review on Andreev billiards, see Beenakker C W J 2005 Lect. Notes Phys. 667 131 (Preprint cond-mat/0406018)
74. Andreev A F 1964 Sov. Phys.-JETP 19 1228
75. Bauer W and Bertsch G F 1990 Phys. Rev. Lett. 65 2213
76. Schomerus H and Beenakker C W J 1999 Phys. Rev. Lett. 82 2951
77. Frahm K M, Brouwer P W, Melsen J A and Beenakker C W J 1996 Phys. Rev. Lett. 76 2981
78. Lodder A and Nazarov Yu V 1998 Phys. Rev. B 58 5783
79. Adagideli I and Beenakker C W J 2002 Phys. Rev. Lett. 89 237002
80. Taras-Semchuk D and Altland A 2001 Phys. Rev. B 64 014512
81. Silvestrov P G, Goorden M C and Beenakker C W J 2003 Phys. Rev. Lett. 90 116801
82. Goorden M C, Jacquod Ph and Beenakker C W J 2003 Phys. Rev. B 68 220501
83. Goorden M C 2005 PhD Thesis Leiden University
84. Goorden M C, Jacquod Ph and Beenakker C W J 2005 Phys. Rev. B 72 064526
85. Kormanyos A, Kaufmann Z, Lambert C J and Cserti J 2004 Phys. Rev. B 70 052512
86. Vavilov M G, Brouwer P W, Ambegaokar V and Beenakker C W J 2001 Phys. Rev. Lett. 86 874
87. Ketzmerick R, Kruse K and Geisel T 1999 Physica D 131 247