Statistics of resonances and delay times in random media: Beyond random matrix theory

Journal of Physics A: Mathematical and General

Volumn 38, Issue 49, 2005, Pages 10761-10786

  Kottos, Tsampikos ^a,b  

^a WESLEYAN UNIVERSITY   (United States)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28244494623     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/49/018     Document Type: Article

References (184)

1. Mahaux C and Weidenmüller H A 1969 Shell Model Approach in Nuclear Reactions (Amsterdam: North-Holland)
2. Rotter I 1991 Rep. Prog. Phys. 54 635
3. Verbaarschot J J M, Weidenmüller H A and Zirnbauer M R 1985 Phys. Rep. 129 367
4. Nayfeh M H et al (ed) 1989 Atomic Spectra and Collisions in External Fields vol 2 (New York: Plenum)
5. Gaspard P 1991 'Quantum Chaos', Proc. E Fermi Summer School ed G Casati et al (Amsterdam: North-Holland) p 307
6. Beenakker C 1997 Rev. Mod. Phys. 69 731
7. Smilansky U 1989 Les Houches Summer School on Chaos and Quantum Physics ed M-J Giannoni et al (Amsterdam: North-Holland) pp 371-441
8. Kottos T and Smilansky U 2000 Phys. Rev. Lett. 85 968
9. Kottos T and Smilansky U 2003 J. Phys. A: Math. Gen. 36 3501
10. Stöckmann H-J 1999 Quantum Chaos: An Introduction (Cambridge: Cambridge University Press)
11. Kogan E, Mello P A and Liqun H 2000 Phys. Rev. E 61 R17
12. Beenakker C W J and Brouwer P W 2001 Physica E 9 463
13. Doron E, Smilansky U and Frenkel A 1990 Phys. Rev. Lett. 65 3072
14. Stöckmann H J and Stein J 1990 Phys. Rev. Lett. 64 2215
15. Stein J, Stöckmann H-J and Stoffregen U 1995 Phys. Rev. Lett. 75 53
16. Nockel J U and Stone A D 1997 Nature 385 45
17. Gmachl C et al 1998 Science 280 1556
18. Wiersma D S, Van Albada M P and Lagendijk A 1995 Nature 373 203
19. Genack A Z et al 1999 Phys. Rev. Lett. 82 715
20. Raizen M, Salomon C and Niu Q 1997 Phys. Today 50 30-4
21. Fyodorov Y V and Sommers H-J 1997 J. Math. Phys. 38 1918
22. Fyodorov Y V and Khoruzhenko B A 1999 Phys. Rev. Lett. 83 65
23. Sommers H J, Fyodorov Y V and Titov M 1999 J. Phys. A: Math. Gen. 32 L77
24. Kuhl U, Stöckmann H-J and Weaver R 2005 J. Phys. A: Math. Gen. 38 10433-63
25. Genack A and Chabanov A A 2005 J. Phys. A: Math. Gen. 38 10465-88
26. Hemmady S, Zheng X, Antonsen Th M Jr, Ott E and Anlage S M 2005 Proc. 2nd Workshop on Quantum Chaos and Localisation Phenomenon (Poland: Warsaw) Acta Phys. Pol. A to be published (Preprint nlin.CD/0506025)
27. Hemmady S, Zheng X, Ott E, Antonsen Th M and Anlage S M 2005 Phys. Rev. Lett. 94 014102
28. Altshuler B L, Kravtsov V E and Lerner I V 1991 Mesoscopic Phenomena in Solids ed B L Altshuler, P A Lee and R A Webb (Amsterdam: North-Holland)
29. Izrailev F M 1990 Phys. Rep. 196 299
30. Fishman S, Grempel D R and Prange R E 1982 Phys. Rev. Lett. 49 509
31. Anderson P W 1958 Phys. Rev. 109 1492
32. MacKinnon A and Kramer B 1993 Rep. Prog. Phys. 56 1469
33. Lee A and Ramakrishnan T V 1985 Rev. Mod. Phys. 57 287
34. Abrahams E, Anderson P W, Licciardello D C and Ramakrishnan T V 1979 Phys. Rev. Lett. 42 673
35. Gorkov L P, Larkin A I and Khmelnitskii D E 1979 JETP Lett. 30 228
36. Mirlin A D 2000 Phys. Rep. 326 259
37. Porter C E 1965 Statistical Theory of Spectral Fluctuations (New York: Academic)
38. Efetov K B 1983 Adv. Phys. 32 53
39. Efetov K B 1997 Supersymmetry in Disorder and Chaos (Cambridge: Cambridge University Press)
40. Kravtsov V E and Mirlin A D 1994 JETP Lett. 60
41. Falko V I and Efetov K B 1995 Europhys. Lett. 32 627
42. Fyodorov Y V and Mirlin A D 1995 Phys. Rev. B 51 13403
43. Fyodorov Y V and Mirlin A D 1995 Phys. Rev. B 52 17413
44. Muzykantskii B A and Khmelnitiskii D E 1995 Phys. Rev. B 51 5480
45. Fyodorov Y V and Mirlin A 1994 Int. J. Mod. Phys. B 8 3795
46. Smolyarenko I and Altshuler B L 1997 Phys. Rev. B 55 10451
47. Ossipov A, Kottos T and Geisel T 2002 Phys. Rev. E 65 055209
48. Kottos T, Ossipov A and Geisel T 2003 Phys. Rev. E 68 066215
49. Uski V, Mehlig B, Römer R A and Schreiber M 2000 Phys. Rev. B 62 R7699
50. Uski V, Mehlig B and Schreiber M 2001 Phys. Rev. 63 241101
51. Nikolić B 2001 Phys. Rev. B 64 014203
52. Shklovskii B I, Shapiro B, Sears B R, Lambrianides P and Shore H B 1993 Phys. Rev. B 47 11487
53. Alt'shuler B L and Shklovskii B I 1986 Zh. Eksp. Teor. Fiz. 91 220
54. Alt'shuler B L and Shklovskii B I 1986 Sov. Phys.-JETP 64 127
55. Aronov A G and Mirlin A D 1995 Phys. Rev. B 51 6131
56. Kravtsov V E and Lerner I V 1995 Phys. Rev. Lett. 74 2563
57. Zharekeshev I and Kramer B 1995 Japan. J. Appl. Phys. 34 4361
58. Stein J and Stöckmann H-J 1995 Phys. Rev. Lett. 75 822
59. Gräf H-D et al 1992 Phys. Rev. Lett. 69 1296
60. Alt H et al 1995 Phys. Rev. Lett. 74 62
61. Kudrolli A, Kidambi V and Sridhar S 1995 Phys. Rev. Lett. 75 822
62. Pradhan P and Sridhar S 2000 Phys. Rev. Lett. 85 2360
63. Chalker J T, Kravtsov V E and Lerner I V 1996 Pis. Zh. Eksp. Teor. Fiz. 64 355
64. Chalker J T, Kravtsov V E and Lerner I V 1996 JETP Lett. 64 386
65. Wegner F 1980 Z. Phys. B 36 209
66. Schreiber M and Grussbach H 1991 Phys. Rev. Lett. 67 607
67. Parshin D A and Schober H R 1999 Phys. Rev. Lett. 83 4590
68. Mildenberger A, Evers F and Mirlin A D 2002 Phys. Rev. B 66 033109
69. Evers F and Mirlin A D 2000 Phys. Rev. Lett. 84 3690
70. Cuevas E, Ortuno M, Gasparian V and Perez-Garrido A 2002 Phys. Rev. Lett. 88 016401
71. Varga I 2002 Phys. Rev. B 66 094201
72. Varga I and Braun D 2000 Phys. Rev. 61 R11859
73. Chalker J T and Daniell G J 1988 Phys. Rev. Lett. 61 593
74. Huckestein B and Klesse R 1999 Phys. Rev. B 59 9714
75. Braun D, Hofstetter E, Montambaux G and MacKinnon A 2001 Phys. Rev. Lett. 64 155107
76. Slevin K and Ohtsuki T 1999 Phys. Rev. Lett. 82 382
77. Muttalib K A and Wölfle P 1999 Phys. Rev. Lett. 83 3013
78. Markos P 1999 Phys. Rev. Lett. 83 588
79. Shapiro B 1990 Phys. Rev. Lett. 65 1510
80. Cohen A, Roth Y and Shapiro B 1988 Phys. Rev. B 38 12125
81. Soukoulis C M, Wang X S, Li Q M and Sigalas M M 1999 Phys. Rev. Lett. 82 668
82. Slevin K and Ohtsuki T 1999 Phys. Rev. Lett. 82 382
83. Muttalib K A and Wölfle P 1999 Phys. Rev. Lett. 83 3013
84. Markos P 1999 Phys. Rev. Lett. 83 588
85. Sadreev A F and Rotter I 2003 J. Phys. A: Math. Gen. 36 11413
86. Schanz H 2003 Physica E 18 429
87. Pichugin K, Schanz H and Seba P 2001 Phys. Rev. E 6405 056227
88. Dittes F M 2000 Phys. Rep. 339 216
89. Savin D V, Fyodorov Y V and Sommers H-J 2005 Proc. 2nd Workshop on Quantum Chaos and Localisation Phenomenon (Warsaw) Acta Phys. Pol. A to be published (Preprint nlin.CD/0506040)
90. Fyodorov Y V, Savin D V and Sommers H-J 2005 J. Phys. A: Math. Gen. 38 10731-60
91. Wigner E P 1955 Phys. Rev. 98 145
92. Smith F T 1960 Phys. Rev. 118 349
93. de Carvalho C A A and Nussenzveig H M 2002 Phys. Rep. 364 83
94. Aleiner I L, Brouwer P W and Glazman L I 2002 Phys. Rep. 358 309
95. Alhassid Y 2000 Rev. Mod. Phys. 72 895
96. Raizen M, Salomon C and Niu Q 1997 Phys. Today 50 30
97. Wiersma D S et al 1997 Nature 390 671
98. Madison K W et al 1999 Phys. Rev. A 60 R1767
99. Friedman N et al 2001 Phys. Rev. Lett. 86 1518
100. Kaplan A et al 2001 Phys. Rev. Lett. 87 274101
101. Milner V et al 2001 Phys. Rev. Lett. 86 1514
102. Baumert T et al 1991 Phys. Rev. Lett. 67 3753
103. Bacher G et al 1999 Phys. Rev. Lett. 83 4417
104. Kumar R et al 1998 Phys. Rev. Lett. 81 2578
105. Chabanov A A et al 2003 Phys. Rev. Lett. 90 203903
106. Skipetrov S E and van Tiggelen B A 2004 Phys. Rev. Lett. 92 113901
107. Dal Negro L et al 2003 Phys. Rev. Lett. 90 055501
108. Genack A Z et al 1999 Phys. Rev. Lett. 82 715
109. Savin D V and Sokolov V V 1997 Phys. Rev. E 56 R4911
110. Casati G, Maspero G and Shepelyansky D L 1999 Phys. Rev. Lett. 82 524
111. Casati G, Maspero G and Shepelyansky D L 2000 Phys. Rev. Lett. 84 4088
112. Benenti G et al 2001 Phys. Rev. Lett. 87 014101
113. Ossipov A et al 2001 Phys. Rev. B 64 224210
114. Benenti G et al 2000 Phys. Rev. Lett. 84 4088
115. Wimberger S et al 2002 Phys. Rev. Lett. 89 263601
116. Misirpashaev T S and Beenakker C W J 1998 Phys. Rev. A 57 2041
117. Patra M and Beenakker C W J 1999 Phys. Rev. A 60 4059
118. Frahm K M, Schomerus H, Patra M and Beenakker C W J 2000 Europhys. Lett. 49 48
119. Schomerus H, Frahm K M, Patra M and Beenakker C W J 2000 Physica A 278 469
120. Patra M 2003 Phys. Rev. E 67 016603
121. Patra M 2003 Preprint cond-mat/0302506
122. Fyodorov Y V and Mehlig B 2002 Phys. Rev. E 66 045202
123. Fyodorov Y V and Sommers H-J 2003 J. Phys. A: Math. Gen. 36 3303
124. Cao H, Ling Y, Xu J Y and Burin A L 2002 Phys. Rev. E 66 025601
125. Apalkov V M, Raikh M E and Shapiro B 2004 J. Opt. Soc. Am. B 21 132
126. Apalkov V M, Raikh M E and Shapiro B 2002 Preprint cond-mat/0212231
127. Ossipov A, Kottos T and Geisel T 2003 Europhys. Lett. 62 719
128. Weiss M, Mendez-Bermudez A and Kottos T 2005 at press
129. Borgonovi F, Guarneri I and Shepelyansky D 1991 Phys. Rev. A 43 4517
130. Titov M and Fyodorov Y V 2000 Phys. Rev. B 61 R2444
131. Terraneo M and Guarneri I 2000 Eur. Phys. J. B 18 303
132. Starykh O A, Jacquod P, Narimanov E and Stone A D 2000 Phys. Rev. E 62 2078
133. Pinheiro F A, Rusek M, Orlowski A and van Tiggelen B A 2004 Phys. Rev. E 69 026605
134. Kottos T and Weiss M 2002 Phys. Rev. Lett. 89 056401
135. Westervelt R M 1997 Nano-Science and Technology ed G Timp (New York: AIP)
136. Kogan E, Mello P A and Liqun H 2000 Phys. Rev. E 61 R17
137. Beenakker C W J and Brouwer P W 2001 Physica E 9 463
138. Savin D V and Sommers H-J 2003 Phys. Rev. E 68 036211
139. Fyodorov Y V 2003 JETP Lett. 78 250
140. Misirpashaev T S and Beenakker C W J 1996 JETP Lett. 64 319
141. Misirpashaev T S, Paasschens J C J and Beenakker C W J 1997 Physica A 236 189-201
142. Paasschens J C J, Misirpashaev T Sh and Beenakker C W J 1996 Phys. Rev. B 54 11887
143. Ossipov A and Fyodorov Y V 2005 Phys. Rev. B 71 125133
144. Méndez-Sánchez R A et al 2003 Phys. Rev. Lett. 91 174102
145. Kuhl U, Martínez-Mares M, Méndez-Sánchez R A and Stöckmann H-J 2004 Preprint cond-mat/0407197
146. Jian Z, Pearce J and Mittleman D M 2003 Phys. Rev. Lett. 91 033903
147. Pearce J, Jian Z and Mittleman D M 2003 Phys. Rev. Lett. 91 043903
148. Genack A Z, Sebbah P, Stoytchev M and van Tiggelen B A 1999 Phys. Rev. Lett. 82 715
149. Chabanov A A and Genack A Z 2001 Phys. Rev. Lett. 87 233903
150. Gopar V A, Mello P A and Büttiker M 1996 Phys. Rev. Lett. 77 3005
151. Lewenkopf C H and Weidenmüller H A 1991 Ann. Phys., NY 212 53
152. Seba P, Zyczkowski K and Zakrewski J 1996 Phys. Rev. E 54 2438
153. Brouwer P W and Büttiker M 1997 Europhys. Lett. 37 441
154. Izrailev F, Saher D and Sokolov V V 1994 Phys. Rev. E 49 130
155. Brouwer P W, Frahm K M and Beenakker C W J 1997 Phys. Rev. Lett. 78 4737
156. Sommers H-J, Savin D V and Sokolov V V 2001 Phys. Rev. Lett. 87 094101
157. Fyodorov Y V, Savin D V and Sommers H-J 1997 Phys. Rev. E 55 R4857
158. Bouchaud J-P and Georges A 1990 Phys. Rep. 195 127
159. Texier C and Comtet A 1999 Phys. Rev. Lett. 82 4220
160. Ossipov A, Kottos T and Geisel T 2000 Phys. Rev. B 61 11411
161. Bolton-Heaton C J, Lambert C J, Falko V I, Prigodin V and Epstein A J 1999 Phys. Rev. B 60 10569
162. Jayannavar A M, Vijayagovindan G V and Kumar N 1989 Z. Phys. B 75 77
163. Ramakrishna S A and Kumar N 1999 Preprint cond-mat/9906098
164. Mendez-Bermudez J A and Kottos T 2005 Phys. Rev. B 72 064108
165. Mirlin A D, Fyodorov Y V, Dittes F-M, Quezada J and Seligman T H 1996 Phys. Rev. E 54 3221
166. Harper P G 1955 Proc. Roy. Soc. A 68 874
167. Aubry S and Andre G 1980 Ann. Isr. Phys. Soc. 3 133
168. Evangelou S N and Pichard J-L 2000 Phys. Rev. Lett. 84 1643
169. Piéchon F 1996 Phys. Rev. Lett. 76 4372
170. Shechtman D, Blech I, Gratias D and Cahn J V 1984 Phys. Rev. Lett. 53 1951
171. Kohmoto M, Kadanoff L P and Tang G 1983 Phys. Rev. Lett. 50 1870
172. Luck J M and Petritis D 1986 J. Stat. Phys. 42 289
173. Bellisard J, Iochum B, Scoppola E and Testard D 1989 Commun. Math. Phys. 125 527
174. Merlin R, Bajema K, Clarke R, Juang F Y and Bhattacharya P K 1985 Phys. Rev. Lett. 55 1768
175. Fujiwara T and Ogawa T 1990 Quasicrystals (Berlin: Springer)
176. Gellermann W, Kohmoto M, Sutherland B and Taylor P C 1994 Phys. Rev. Lett. 72 633
177. Hattori T, Tsurumachi N, Kawato S and Nakatsuka H 1994 Phys. Rev. B 50 4220
178. Geisel T, Ketzmerick R and Petschel G 1991 Phys. Rev. Lett. 66 1651
179. Geisel T, Ketzmerick R and Petschel G Quantum Chaos Between Order and Disorder ed J Casati and B Chirikov (Cambridge: Cambridge University Press) pp 634-59
180. Kuhl U and Stöckmann H-J 1998 Phys. Rev. Lett. 80 3232
181. Steinbach F, Ossipov A, Kottos T and Geisel T 2000 Phys. Rev. Lett. 85 4426
182. Ossipov A, Weiss M, Kottos T and Geisel Theo 2001 Phys. Rev. B 64 224210
183. Ghulinyan M, Oton C J, Dal Negro L, Pavesi L, Sapienza R, Colocci M and Wiersma D S 2005 Phys. Rev. B 71 094204
184. Dal Negro L, Oton C J, Gaburro Z, Pavesi L, Johnson P, Lagendijk A, Righini R, Colocci M and Wiersma D S 2003 Phys. Rev. Lett. 90 055501