Quantum Chaos, Transport, and Control-in Quantum Optics

Advances in Atomic, Molecular and Optical Physics

Volumn 53, Issue , 2006, Pages 33-73

  Madroñero, Javier ^a,b   Ponomarev, Alexey ^b   Carvalho, André R R ^b   Wimberger, Sandro ^c   Viviescas, Carlos ^b   Kolovsky, Andrey ^b   Hornberger, Klaus ^d   Schlagheck, Peter ^e   Krug, Andreas ^b   Buchleitner, Andreas ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c UNIVERSITY OF PISA   (Italy)

^d UNIVERSITY OF MUNICH   (Germany)

^e UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 55049129263     PISSN: 1049250X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1049-250X(06)53002-2     Document Type: Review

References (191)

1. Haake F. Quantum Signatures of Chaos. Springer Series in Synergetics vol. 54 (1991), Springer, Berlin
2. Nagourney W., Sandberg J., and Dehmelt H. Phys. Rev. Lett. 56 (1986) 2797
3. Sauter T., Neuhauser W., Blatt R., and Toschek P. Phys. Rev. Lett. 57 (1986) 1696
4. Meschede D., Walther H., and Müller G. Phys. Rev. Lett. 54 (1985) 551
5. Brune M., Hagley E., Dreyer J., Maître X., Maali A., Wunderlich C., Raimond J.-M., and Haroche S. Phys. Rev. Lett. 77 (1996) 004887
6. Jennewein T., Simon C., Weihs G., Weinfurter H., and Zeilinger A. Phys. Rev. Lett. 87 (2000) 4729
7. Hensinger W., Häffner H., Browaeys A., Heckenberg N., Helmerson K., McKenzie C., Milburn G., Phillips W., Rolston S., Rubinsztein-Dunlop H., et al. Nature 412 (2000) 52
8. Greiner M., Mandel O., Esslinger T., Hänsch T.W., and Bloch I. Nature 415 (2002) 39
9. Meyrath T.P., Schreck F., Hanssen J.L., Chuu C.-S., and Raizen M.G. Phys. Rev. A 71 (2005) 41604
10. Lye J., Fallani L., Modugno M., Wiersma D., Fort C., and Inguscio M. Phys. Rev. Lett. 95 (2005) 070401
11. Buchleitner A., and Mantegna R.N. Phys. Rev. Lett. 80 (1998) 3932
12. Wellens T., Shatokhin S., and Buchleitner A. Rep. Prog. Phys. 67 (2004) 45
13. Robinson J.C., Bharucha C., Moore F.L., Jahnke R., Georgakis G.A., Niu Q., Raizen M.G., and Sundaram B. Phys. Rev. Lett. 74 (1995) 3963
14. Buchleitner A., d'Arcy M., Fishman S., Gardiner S., Guarneri I., Ma Z.-Y., Rebuzzini L., and Summy G. (2005). physics/0501146
15. Oberthaler M., Godun R., d'Arcy M., Summy G., and Burnett K. Phys. Rev. Lett. 83 (1999) 4447
16. Schlunk S., d'Arcy M., Gardiner S., and Summy G. Phys. Rev. Lett. 90 (2003) 124102
17. Moore F.L., Robinson J.C., Bharucha C., Williams P.E., and Raizen M.G. Phys. Rev. Lett. 73 (1994) 2974
18. d'Arcy M.B., Godun R., Summy G.S., Guarneri I., Fishman S., Wimberger S., and Buchleitner A. Phys. Rev. E 69 (2004) 027201
19. Ringot J., Szriftgiser P., Garreau J.C., and Delande D. Phys. Rev. Lett. 85 (2000) 2741
20. Delande D., and Buchleitner A. Adv. At. Mol. Opt. Phys. 35 (1994) 85
21. Buchleitner A., Delande D., Zakrzewski J., Mantegna R.N., Arndt M., and Walther H. Phys. Rev. Lett. 75 (1995) 3818
22. Iu C., Welch G.R., Kash M.M., Kleppner D., Delande D., and Gay J.C. Phys. Rev. Lett. 66 (1991) 145
23. Püttner R., Grémaud B., Delande D., Domke M., Martins M., Schlachter A., and Kaindl G. Phys. Rev. Lett. 86 (2001) 3747
24. Szriftgiser P., Ringot J., Delande D., and Garreau J.C. Phys. Rev. Lett. 89 (2002) 224101
25. Geisler M., Smet J., Umansky V., von Klitzing K., Naundorf B., Ketzmerick R., and Schweizer H. Phys. Rev. Lett. 92 (2004) 256801
26. Sachrajda A., Ketzmerick R., Gould C., Feng Y., Kelly P., Delage A., and Wasilewski Z. Phys. Rev. Lett. 80 (1998) 001948
27. Stania G., and Walther H. Phys. Rev. Lett. 95 (2005) 194101
28. Maeda H., and Gallagher T. Phys. Rev. Lett. 92 (2004) 133004
29. Maeda H., Norum D., and Gallagher T.F. Science 307 (2005) 1757
30. Wimberger S., Sadgrove M., Parkins S., and Leonhardt R. Phys. Rev. A 71 (2005) 053404
31. Buchleitner A., Delande D., and Zakrzewski J. Phys. Rep. 368 (2002) 409
32. de Carvalho A.R.R., and Buchleitner A. Phys. Rev. Lett. 92 (2004) 204101
33. Gutzwiller M. The semi-classical quantization of chaotic Hamiltonian systems. Chaos and Quantum Physics (1991), North-Holland, Amsterdam 201
34. Heller E. Wavepacket dynamics and quantum chaology. Chaos and Quantum Physics (1991), North-Holland, Amsterdam 547
35. Smilansky U. The classical and quantum theory of chaotic scattering. Chaos and Quantum Physics (1991), North-Holland, Amsterdam 371
36. Richter K., and Wintgen D. Phys. Rev. Lett. 65 (1990) 1965
37. Wintgen D., Bürgers A., Richter K., and Tanner G. Prog. Theor. Phys. Supplement (1994) 121
38. Wintgen D., Richter K., and Tanner G. CHAOS 2 (1992) 19
39. Richter K., Tanner G., and Wintgen D. Phys. Rev. A 48 (1993) 4182
40. Tanner G., and Wintgen D. Phys. Rev. Lett. 75 (1995) 2928
41. Tanner G., Richter K., and Rost J. Rev. Mod. Phys. 72 (2000) 497
42. Delande D. Chaos in atomic and molecular physics. Chaos and Quantum Physics (1991), North-Holland, Amsterdam 665
43. Bohigas O. Random matrix theories and chaotic dynamics. Chaos and Quantum Physics (1991), North-Holland, Amsterdam 87
44. Kolovsky A.R., and Buchleitner A. Phys. Rev. E 68 (2003) 056213
45. Jaksch D., Bruder C., Cirac J.I., Gardiner C.W., and Zoller P. Phys. Rev. Lett. 81 (1998) 3108
46. Mehta M.L. Random Matrices (1991), Academic Press, San Diego
47. Lichtenberg A.J., and Lieberman M.A. Regular and Stochastic Motion. Applied Mathematical Sciences vol. 38 (1983), Springer, Berlin
48. Fromhold T., Patanè A., Bujkiewicz S., Wilkinson P., Fowler D., Sherwood D., Stapleton S., Krokhin A., Eaves L., Henini M., et al. Nature 428 (2004) 726
49. Chernikov A., Sagdeev R., Usikov D., Zakharov M., and Zaslavsky G. Nature 326 (1987) 559
50. van Leeuwen K.A.H., von Oppen G., Renwick S., Bowlin J.B., Koch P.M., Jensen R.V., Rath O., Richards D., and Leopold J.G. Phys. Rev. Lett. 55 (1985) 2231
51. Geisel T., Radons G., and Rubner J. Phys. Rev. Lett. 57 (1986) 2883
52. Jensen R.V. Physica Scripta 35 (1987) 668
53. Casati G., Chirikov B.V., Shepelyansky D.L., and Guarneri I. Phys. Rep. 154 (1987) 77
54. Radons G., and Prange R.E. Phys. Rev. Lett. 61 (1988) 1691
55. Blümel R., Hillermeier C., and Smilansky U. Z. Phys. D 15 (1990) 267
56. Jensen R.V., Susskind S.M., and Sanders M.M. Phys. Rep. 201 (1991) 1
57. Jans W., Monteiro T., Schweizer W., and Dando P. J. Phys. A 26 (1993) 3187
58. Leopold J.G., and Richards D. J. Phys. B: Atom. Mol. Opt. Phys. 27 (1994) 2169
59. Dietz K., Henkel J., and Holthaus M. Phys. Rev. A 45 (1992) 4960
60. Koch P.M., and van Leeuwen K.A.H. Phys. Rep. 255 (1995) 289
61. Bellermann M.R.W., Koch P.M., and Richards D. Phys. Rev. Lett. 78 (1997) 3840
62. Buchleitner A., and Delande D. Chaos, Solitons and Fractals 5 (1995) 1125
63. Zakrzewski J., Buchleitner A., and Delande D. Z. Phys. B103 (1997) 115
64. A. Krug, Ph.D. thesis, Ludwig-Maximilians-Universität München, 2001, http://edoc.ub.uni-muenchen.de/archive/00000336/
65. Held H., and Schweizer W. Phys. Rev. Lett. 84 (2000) 1160
66. Lambropoulos P., and Zoller P. Phys. Rev. A 24 (1981) 379
67. Cohen-Tannoudji C., Dupont-Roc J., and Grynberg G. Atom-Photon Interactions (1992), Wiley, New York
68. Reed M., and Simon B. Analysis of Operators, Methods of Modern Mathematical Physics (1990), Academic Press, San Diego
69. Buchleitner A., Grémaud B., and Delande D. J. Phys. B: Atom. Mol. Opt. Phys. 27 (1994) 2663
70. Marmet L., Held H., Raithel G., Yeazell J.A., and Walther H. Phys. Rev. Lett. 72 (1994) 3779
71. Raman C., Weihnacht T., and Bucksbaum P. Phys. Rev. A 55 (1997) R3995
72. Yeazell J.A., and Stroud J.C.R. Phys. Rev. Lett. 60 (1988) 1494
73. Buchleitner A., Delande D., and Gay J.C. J. Opt. Soc. Am. B 12 (1995) 505
74. Yoshida S., Reinhold C., and Burgdörfer J. Phys. Rev. Lett. 84 (2000) 2602
75. Reinhold C., Zhao W., Lancaster J., Dunning F., Persson E., Arbó D., Yoshida S., and Burgdörfer J. Phys. Rev. A 70 (2004) 033402
76. Bayfield J.E., and Koch P.M. Phys. Rev. Lett. 33 (1974) 258
77. Bayfield J.E., Casati G., Guarneri I., and Sokol D.W. Phys. Rev. Lett. 63 (1989) 364
78. Sirko L., Haffmans A., Bellermann M.R.W., and Koch P.M. Europhys. Lett. 33 (1996) 181
79. Bellermann M.R.W., Koch P.M., Mariani D., and Richards D. Phys. Rev. Lett. 76 (1996) 892
80. Richards D., Leopold J.G., Koch P.M., Galvez E.J., van Leeuwen K.A.H., Moorman L., Sauer B.E., and Jensen R.V. J. Phys. B: Atom. Mol. Opt. Phys. 22 (1989) 1307
81. Sauer B.E., Bellermann M.R.W., and Koch P.M. Phys. Rev. Lett. 68 (1992) 1633
82. Fu P., Scholz T.J., Hettema J.M., and Gallagher T.F. Phys. Rev. Lett. 64 (1990) 511
83. Noel M.W., Griffith W.M., and Gallagher T.F. Phys. Rev. A 62 (2000) 63401
84. Maeda H., and Gallagher T.F. Phys. Rev. Lett. 93 (2004) 193002
85. Benson O., Buchleitner A., Raithel G., Arndt M., Mantegna R.N., and Walther H. Phys. Rev. A 51 (1995) 4862
86. Arndt M., Buchleitner A., Mantegna R.N., and Walther H. Phys. Rev. Lett. 67 (1991) 2435
87. Blümel R., Graham R., Sirko L., Smilansky U., Walther H., and Yamada K. Phys. Rev. Lett. 62 (1989) 341
88. Blümel R., Buchleitner A., Graham R., Sirko L., Smilansky U., and Walther H. Phys. Rev. A 44 (1991) 4521
89. Krug A., and Buchleitner A. Phys. Rev. Lett. 86 (2001) 3538
90. Wimberger S., Krug A., and Buchleitner A. Phys. Rev. Lett. 89 (2002) 263601
91. Anderson P. Phys. Rev. 109 (1958) 1492
92. Washburn S., and Webb R.A. Adv. Phys. 35 (1986) 375
93. Wimberger S., and Buchleitner A. J. Phys. A 34 (2001) 7181
94. Buchleitner A., Guarneri I., and Zakrzewski J. Europhys. Lett. 44 (1998) 162
95. Casati G., Guarneri I., and Shepelyansky D.L. Phys. Rev. A 36 (1987) 3501
96. Delone N.B., Krainov B.P., and Shepelyansky D.L. Sov. Phys. Usp. 26 (1983) 551
97. Buchleitner A., and Delande D. Phys. Rev. A 55 (1997) R1585
98. Pichard J.-L., Zanon N., Imry Y., and Stone A.D. J. Phys. France 51 (1990) 587
99. Casati G., Guarneri I., Izrailev F.M., Molinari L., and Życzkowski K. Phys. Rev. Lett. 72 (1994) 2697
100. Krug A., Wimberger S., and Buchleitner A. Eur. Phys. J. D 26 (2003) 21
101. Thouless D.J. Phys. Rep. 13 (1974) 93
102. Gurvitz S.A. Phys. Rev. Lett. 85 (2000) 812
103. Chabanov A., and Genack A. Phys. Rev. Lett. 87 (2001) 233903
104. Pacilli M., Sebbah P., and Vanneste C. In: van Tiggelen B.A., and Skipetrov S. (Eds). Wave Scattering in Complex Media: From Theory to Applications. NATO Science Series II vol. 107 (2003), Kluwer Academic, New York 229-239
105. Blümel R., and Smilansky U. Phys. Rev. Lett. 52 (1984) 137
106. Casati G., Chirikov B.V., and Shepelyansky D.L. Phys. Rev. Lett. 53 (1984) 2525
107. Blümel R., and Smilansky U. Phys. Rev. Lett. 58 (1987) 2531
108. Graham R. Comm. At. Mol. Phys. 25 (1991) 219
109. Leopold J.G., and Richards D. J. Phys. B: Atom. Mol. Opt. Phys. 38 (1988) 2660
110. Buchleitner A., and Delande D. Phys. Rev. Lett. 70 (1993) 33
111. Holthaus M., Ristow G.H., and Hone D.W. Phys. Rev. Lett. 75 (1995) 3914
112. Fishman S., Grempel D.R., and Prange R.E. Phys. Rev. Lett. 49 (1982) 509
113. Dittrich T., and Smilansky U. Nonlinearity 4 (1991) 59
114. Starykh O.A., Jacquod P.R.J., Narimanov E.E., and Stone A.D. Phys. Rev. E 62 (2000) 2078
115. Damski B., Zakrzewski J., Santos L., Zoller P., and Lewenstein M. Phys. Rev. Lett. 91 (2003) 80403
116. Krug A., and Buchleitner A. Phys. Rev. A 66 (2002) 53416
117. Krug A., and Buchleitner A. Phys. Rev. A 72 (2005) 061402R
118. Ericson T. Phys. Rev. Lett. 5 (1960) 430
119. von Brentano P., Ernst J., Hausser O., Mayer-Kuckuk T., Richter A., and von Witsch W. Phys. Lett. 9 (1964) 48
120. Blümel R., and Smilansky U. Phys. Rev. Lett. 60 (1988) 477
121. Weidenmüller H. Nucl. Phys. A 518 (1990) 1
122. Borgonovi F., and Guarneri I. J. Phys. A 25 (1992) 3239
123. G. Stania, Ph.D. thesis, Ludwig-Maximilians-Universität München, 2005
124. Madroñero J., and Buchleitner A. Phys. Rev. Lett. 95 (2005) 263601
125. Cao H. Progress in Optics 45 (2003) 317
126. Gmachl C., Capasso F., Narimanov E.E., Nöckel J.U., Stone A.D., Faist J., Sivco D.L., and Cho A.Y. Science 280 (1998) 1556
127. Harayama T., Sunuda S., and Ikeda K.S. Phys. Rev. A 72 (2005) 013803
128. Cao H., Xu J.Y., Chang S.H., and Ho S.T. Phys. Rev. E 61 (2000) 1985
129. Haken H. Laser Theory. second ed. (1984), Springer, Berlin
130. Sargent III M., Scully M.O., and Lamb W.E. Laser Physics (1974), Addison-Wesley
131. Siegman A. Lasers (1986), Oxford University Press
132. Hackenbroich G., Viviescas C., and Haake F. Phys. Rev. Lett. 89 (2002) 083902
133. Viviescas C., and Hackenbroich G. Phys. Rev. A 67 (2003) 013805
134. Viviescas C., and Hackenbroich G. J. Opt. B 6 (2004) 211
135. C. Viviescas, Ph.D. thesis, Universität Duisburg-Essen, 2004, http://miless.uni-duisburg-essen.de/servlets/DocumentServlet?id=11649
136. Schawlow A.L., and Townes C.H. Phys. Rev. 112 (1958) 1940
137. Petermann K. IEEE J. Quantum. Electron. 15 (1979) 566
138. Siegman A.E. Phys. Rev. A 39 (1989) 1253
139. Siegman A.E. Phys. Rev. A 39 (1989) 1264
140. Beenakker C.W.J. Phys. Rev. Lett. 81 (1998) 1829
141. Beenakker C.W.J. In: Fouque J.P. (Ed). Diffuse Waves in Complex Media. NATO Science Series C vol. 531 (1999), Kluwer Academic, Dordrecht 137
142. Hackenbroich G., Viviescas C., Elattari B., and Haake F. Phys. Rev. Lett. 86 (2001) 5262
143. Patra M. Phys. Rev. A 65 (2002) 043809
144. Florescu L., and John S. Phys. Rev. Lett. 93 (2004) 013602
145. Florescu L., and John S. Phys. Rev. A 69 (2004) 046603
146. Berry M.V. J. Phys. A 10 (1977) 2083
147. Urbina J.D., and Richter K. J. Phys. A: Math. Gen. 36 (2003) L495
148. Fyodorov Y.V., and Sommers H.-J. J. Math. Phys. 38 (1997) 1918
149. Guhr T., Müller-Groeling A., and Weidenmüller H.A. Phys. Rep. 299 (1998) 189
150. Shatokhin V., Müller C.A., and Buchleitner A. Phys. Rev. Lett. 94 (2005) 043603
151. Wellens T., Grémaud B., Delande D., and Miniatura C. Phys. Rev. E 75 (2005) 055603R
152. Bohr N. Nature 137 (1936) 344
153. Wigner E. Group Theory and Its Application to the Quantum Mechanics (1959), Academic Press, New York
154. Kolovsky A., and Buchleitner A. Europhys. Lett. 68 (2004) 632
155. Morsch O., Müller J.H., Cristiani M., Ciampini D., and Arimondo E. Phys. Rev. Lett. 87 (2001) 140402
156. Cristiani M., Morsch O., Müller J.H., Ciampini D., and Arimondo E. Phys. Rev. A 65 (2002) 63612
157. Burger S., Cataliotti F.S., Fort C., Minardi F., Inguscio M., Chiofalo M.L., and Tosi M.P. Phys. Rev. Lett. 86 (2001) 4447
158. Fort C., Cataliotti F.S., Fallani L., Ferlaino F., Maddaloni P., and Inguscio M. Phys. Rev. Lett. 90 (2003) 140405
159. Modugno M., de Mirandes E., Ferlaino F., Ott H., Roati G., and Inguscio M. Fortschr. Phys. 52 (2004) 1173
160. Ott H., de Mirandes E., Ferlaino F., Roati G., Modugno G., and Inguscio M. Phys. Rev. Lett. 92 (2004) 160601
161. Kolovsky A.R. Phys. Rev. Lett. 90 (2003) 213002
162. Buchleitner A., and Kolovsky A.R. Phys. Rev. Lett. 91 (2003) 253002
163. Ponomarev A., Madroñero J., Kolovsky A., and Buchleitner A. Phys. Rev. Lett. 96 (2006) 050404
164. Kolovsky A. Phys. Rev. E 50 (1994) 3569
165. Anderson P. Concepts in Solids: Lectures on the Theory of Solids (1992), Addison-Wesley, New York
166. Esaki L., and Tsu R. IBM J. Res. Develop. 14 1 (1970) 61
167. Dumas H.S., and Laskar J. Phys. Rev. Lett. 70 (1993) 2975
168. von Milscewski J., Diercksen G.H.F., and Uzer T. Phys. Rev. Lett. 76 (1996) 2890
169. de Almeida A.M.O. Hamiltonian Systems: Chaos and Quantization (1988), Cambridge University Press, Cambridge
170. Berman G.P., and Zaslavsky G.M. Phys. Lett. 61A (1977) 295
171. Holthaus M. Chaos, Solitons and Fractals 5 (1995) 1143
172. Białynicki-Birula I., Kalinski M., and Eberly J.H. Phys. Rev. Lett. 73 (1994) 1777
173. Farelly D., Lee E., and Uzer T. Phys. Rev. Lett. 75 (1995) 972
174. Hornberger K., and Buchleitner A. Europhys. Lett. 41 (1998) 383
175. Delande D., and Zakrzewski J. Phys. Rev. A 58 (1998) 466
176. Buchleitner A., and Delande D. Phys. Rev. Lett. 75 (1995) 1487
177. Wintgen D., and Delande D. J. Phys. B: Atom. Mol. Opt. Phys. 26 (1993) L399
178. Rost J.-M., Schulz K., Domke M., and Kaindl G. J. Phys. B: Atom. Mol. Opt. Phys. 30 (1997) 4663
179. Grémaud B., and Delande D. Europhys. Lett. 40 (1997) 363
180. Eichmann U., Lange V., and Sandner W. Phys. Rev. Lett. 64 (1990) 274
181. Ostrovsky V.N., and Prudov N.V. J. Phys. B: Atom. Mol. Opt. Phys. 28 (1995) 4435
182. Schlagheck P., and Buchleitner A. Eur. Phys. J. D 22 (2003) 401
183. Schlagheck P., and Buchleitner A. Europhys. Lett. 46 (1999) 24
184. Madroñero J., and Buchleitner A. In: Wagner S., Hanke W., Bode A., and Durst F. (Eds). High Performance Computing in Science and Engineering, Munich 2004 (2004), Springer, Berlin 329
185. J. Madroñero, Ph.D. thesis, Ludwig-Maximilians-Universität München, 2004, http://edoc.ub.uni-muenchen.de/archive/00002187/
186. Madroñero J., Schlagheck P., Hilico L., Grémaud B., Delande D., and Buchleitner A. Europhys. Lett. 70 (2005) 183
187. Kalinski M., Hansen L., and Farelly D. Phys. Rev. Lett. 95 (2005) 103001
188. Wimberger S., Guarneri I., and Fishman S. Nonlinearity 16 (2003) 1381
189. Fishman S., Guarneri I., and Rebuzzini L. Phys. Rev. Lett. 89 (2002) 084101
190. S. Wimberger Ph.D. thesis, Ludwig-Maximilians-Universität München and Università dell'Insubria Como, 2004, http://edoc.ub.uni-muenchen.de/archive/00001687/
191. Müller C., and Miniatura C. J. Phys. A 35 (2002) 10163