Exceptional points in open quantum systems

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 24, 2008, Pages

  Müller, Markus ^a,b   Rotter, Ingrid ^b  

^a UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 48249137769     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/24/244018     Document Type: Article

References (70)

1. Kato T 1966 Perturbation Theory for Linear Operators (Berlin: Springer)
2. Baumgärtel H 1984 Analytic Perturbation Theory for Matrices and Operators (Berlin: Akademie-Verlag)
3. Baumgärtel H 1985 Operator Theory: Adv. Appl. 15 (Basel: Birkhäuser)
4. Feshbach H 1958 Ann. Phys., NY 5 357
5. Feshbach H 1962 Ann. Phys., NY 19 287
6. Rotter I 2007 Preprint 0711.2926
7. Newton R G 1982 Scattering Theory of Waves and Particles (New York: Springer)
8. Mondragon A and Hernandez E 1993 J. Phys. A: Math. Gen. 26 5595
9. Hernandez E and Mondragon A 1994 Phys. Lett. B 326 1
10. Hernandez E, Jauregui A and Mondragon A 2003 Phys. Rev. A 67 022721
11. Hernandez E, Jauregui A and Mondragon A 2005 Phys. Rev. E 72 026221
12. Vanroose W, VanLeuven P, Arickx F and Broeckhove J 1997 J. Phys. A: Math. Gen. 30 5543
13. Vanroose W 2001 Phys. Rev. A 64 062708
14. Magunov A I, Rotter I and Strakhova S I 1999 J. Phys. B: At. Mol. Opt. Phys. 32 1669
15. Magunov A I, Rotter I and Strakhova S I 2001 J. Phys. B: At. Mol. Opt. Phys. 34 29
16. Solov'ev E A 1981 Sov. Phys.-JETP 54 893
17. Solov'ev E A 1989 Sov. Phys. Usp. 32 228
18. Briggs J S, Savichev V I and Solov'ev E A 2000 J. Phys. B: At. Mol. Opt. Phys. 33 3363
19. Solov'ev E A 2005 J. Phys. B: At. Mol. Opt. Phys. 38 R153
20. Rotter I 1991 Rep. Prog. Phys. 54 635
21. Okolowicz J, Ploszajczak M and Rotter I 2003 Phys. Rep. 374 271
22. Rotter I and Sadreev A F 2004 Phys. Rev. E 69 066201
23. Rotter I and Sadreev A F 2005 Phys. Rev. E 71 036227
24. Rotter I and Sadreev A F 2005 Phys. Rev. E 71 046204
25. Bulgakov E N, Rotter I and Sadreev A F 2006 Phys. Rev. E 74 056204
26. Bulgakov E N, Rotter I and Sadreev A F 2007 Phys. Rev. B 76 214302
27. Cartarius H, Main J and Wunner G 2007 Phys. Rev. Lett. 99 173003
28. Heiss W D, Müller M and Rotter I 1998 Phys. Rev. E 58 2894
29. Heiss W D 1999 Eur. Phys. J. D 7 1
30. Dembowski C, Gräf H D, Harney H L, Heine A, Heiss W D, Rehfeld H and Richter A 2001 Phys. Rev. Lett. 86 787
31. Dembowski C, Dietz B, Gräf H D, Harney H L, Heine A, Heiss W D and Richter A 2004 Phys. Rev. E 69 056216
32. Jung C, Müller M and Rotter I 1999 Phys. Rev. E 60 114
33. Lauber H M, Weidenhammer P and Dubbers D 1994 Phys. Rev. Lett. 72 1004
34. Graefe E M 2007 A non-Hermitian two-mode Bose-Hubbard system Talk at the 6th International Workshop on Pseudo Hermitian Hamiltonians in Quantum Physics (London, 16-18 July 2007)
35. Znojil M 2008 J. Phys. A: Math. Theor. 41 244027
36. Heiss W D 2008 J. Phys. A: Math. Theor. 41 244010
37. Sinha A 2007 A class of Non Hermitian Models with real energies Talk at the 6th International Workshop on Pseudo Hermitian Hamiltonians in Quantum Physics (London, 16-18 July 2007)
38. Sinha A 2007 Symmetry breaking at exceptional points Talk at the 5th International Symposium on Quantum Theory and Symmetries (Valladolid, 22-28 July 2007)
39. Persson E, Rotter I, Stöckmann H J and Barth M 2000 Phys. Rev. Lett. 85 2478
40. Stöckmann H J, Persson E, Kim Y H, Barth M, Kuhl U and Rotter I Phys. Rev. E 65 066211
41. Rotter I 2003 Phys. Rev. E 68 016211
42. Rotter I 2004 Acta Phys. Pol. B 35 1269
43. Günther U, Rotter I and Samsonov B F 2007 J. Phys. A: Math. Theor. 40 8815
44. Müller M, Dittes F M, Iskra W and Rotter I 1995 Phys. Rev. E 52 5961
45. Rotter I 2001 Phys. Rev. E 64 036213
46. Rotter I 2007 J. Phys. A: Math. Theor. 40 14515
47. Berry M V 1984 Proc. R. Soc. Lond. A 392 45
48. Berry M V and Wilkinson M 1984 Proc. R. Soc. Lond. A 392 15
49. Keck F, Korsch H J and Mossmann S 2003 J. Phys. A: Math. Gen. 36 2125
50. Pistolesi F and Manini N 2000 Phys. Rev. Lett. 85 1585
51. Manini N and Pistolesi F 2000 Phys. Rev. Lett. 85 3067
52. Samuel J and Dhar A 2001 Phys. Rev. Lett. 87 260401
53. Samuel J and Dhar A 2002 Phys. Rev. A 66 044102
54. Dembowski C, Dietz B, Gräf H D, Harney H L, Heine A, Heiss W D and Richter A 2003 Phys. Rev. Lett. 90 034101
55. Persson E, Pichugin K, Rotter I and Seba P 1998 Phys. Rev. E 58 8001
56. Seba P, Rotter I, Müller M, Persson E and Pichugin K 2000 Phys. Rev. E 61 66
57. Rotter I, Persson E, Pichugin K and Seba P 2000 Phys. Rev. E 62 450
58. Haake F 2004 Quantum Signatures of Chaos (Berlin: Springer)
59. Stöckmann H J 2000 Quantum Chaos (Cambridge: Cambridge University Press)
60. Faria C F M and Rotter I 2002 Phys. Rev. A 66 013402
61. Friedrich H and Wintgen D 1985 Phys. Rev. A 32 3231
62. Friedrich H and Wintgen D 1985 Phys. Rev. A 32 3964
63. Kylstra N J and Joachain C J 1998 Phys. Rev. A 57 412
64. Bulgakov E N, Rotter I and Sadreev A F 2007 Phys. Rev. A 75 067401
65. Sadreev A F, Bulgakov E N and Rotter I 2005 JETP Lett. 82 498
66. Sadreev A F, Bulgakov E N and Rotter I 2006 Phys. Rev. B 73 235342
67. Bulgakov E N, Pichugin K N, Sadreev A F and Rotter I 2006 JETP Lett. 84 430
68. Nazmitdinov R G, Pichugin K N, Rotter I and Seba P 2001 Phys. Rev. E 64 056214
69. Nazmitdinov R G, Pichugin K N, Rotter I and Seba P 2002 Phys. Rev. B 66 085322
70. Nazmitdinov R G, Sim H S, Schomerus H and Rotter I 2002 Phys. Rev. B 66 241302