Environmentally induced effects and dynamical phase transitions in quantum systems

Journal of Optics

Volumn 12, Issue 6, 2010, Pages

  Rotter, Ingrid ^a  

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

Author keywords

Dynamical phase transition; Non Hermitian Hamilton operator; Phase rigidity of eigenfunctions; PT symmetric lattices

Indexed keywords

HAMILTONIANS; OPTICAL LATTICES; QUANTUM OPTICS; RAILROAD CROSSINGS; RIGIDITY; SCHRODINGER EQUATION; WAVE EQUATIONS;

DYNAMICAL PHASE TRANSITION; EIGENVALUE TRAJECTORY; HAMILTONS; NON-HERMITIAN HAMILTONIANS; OPEN QUANTUM SYSTEMS; OPTICAL WAVE EQUATIONS; QUANTUM MECHANICAL; REDISTRIBUTION PROCESS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 77953017198     PISSN: 20408978     EISSN: 20408986     Source Type: Journal    
DOI: 10.1088/2040-8978/12/6/065701     Document Type: Article

References (62)

1. Rotter I 2009 J. Phys. A: Math. Gen. 42 153001
2. Kato T 1966 Perturbation Theory for Linear Operators (Berlin: Springer)
3. Feshbach H 1958 Ann. Phys., NY 5 357
4. Feshbach H 1962 Ann. Phys., NY 19 287
5. Mehri-Dehnavi H and Mostafazadeh A 2008 J. Math. Phys. 49 082105
6. von Neumann J and Wigner E 1929 Phys. Z. 30 465
7. Friedrich H and Wintgen D 1985 Phys. Rev. A 31 3964
8. Friedrich H and Wintgen D 1985 Phys. Rev. A 32 3231
9. Mostafazadeh A 2009 Phys. Rev. Lett. 102 220402
10. Longhi S 2009 Phys. Rev. B 80 165125
11. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 80 5243
12. Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 270401
13. Bender C M 2007 Rep. Prog. Phys. 70 947
14. Ruschhaupt A, Delgado F and Muga J G 2005 J. Phys. A: Math. Gen. 38 L171
15. El-Ganainy R, Makris K G, Christodoulides D N and Musslimani Z H 2007 Opt. Lett. 32 2632
16. Makris K G, El-Ganainy R, Christodoulides D N and Musslimani Z H 2008 Phys. Rev. Lett. 100 103904
17. Musslimani Z H, Makris K G, El-Ganainy R and Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
18. Guo A, Salamo G J, Duchesne D, Morandotti R, Volatier-Ravat M, Aimez V, Siviloglou G A and Christodoulides D N 2009 Phys. Rev. Lett. 103 093902
19. Rüter C E, Makris K G, El-Ganainy R, Christodoulides D N, Segev M and Kip D 2010 Nat. Phys. 6 192
20. Kottos T 2010 Nat. Phys. 6 166
21. Rotter I 2009 arXiv:0909.1232 [quant-ph]
22. Bulgakov E N, Rotter I and Sadreev A F 2006 Phys. Rev. E 74 056204
23. Bulgakov E N, Rotter I and Sadreev A F 2007 Phys. Rev. B 76 214302
24. Alvarez G A, Danieli E P, Levstein P R and Pastawski H M 2006 J. Chem. Phys. 124 194507
25. Pastawski H M 2007 Physica B 398 278
26. Toroker M C and Peskin U 2009 J. Phys. B: At. Mol. Phys. 42 044013
27. Rudner M S and Levitov L S 2009 Phys. Rev. Lett. 102 065703
28. Bird J P and Ochiai Y 2004 Science 303 1621
29. Yoon Y, Mourokh L, Morimoto T, Aoki N, Ochiai Y, Reno J L and Bird J P 2007 Phys. Rev. Lett. 99 136805
30. Yoon Y, Kang M G, Morimoto T, Mourokh L, Aoki N, Reno J L, Bird J P and Ochiai Y 2009 Phys. Rev. B 79 121304(R)
31. Znojil M 2001 Phys. Lett. A 285 7
32. Yacoby A, Heiblum M, Mahalu D and Shtrikman H 1995 Phys. Rev. Lett. 74 4047
33. Schuster R, Buks E, Heiblum M, Mahalu D, Umansky V and Shtrikman H 1997 Nature 385 417
34. Avinun-Kalish M, Heiblum M, Zarchin O, Mahalu D and Umansky V 2005 Nature 436 529
35. Müller M and Rotter I 2009 Phys. Rev. A 80 042705
36. Landau L 1932 Phys. Sov. Union 2 46
37. Zener C 1932 Proc. R. Soc. A 137 692
38. Berry M V 1984 Proc. R. Soc. A 392 45
39. Berry M V and Wilkinson M 1984 Proc. R. Soc. A 392 15
40. Rotter I 2001 Phys. Rev. E 64 036213
41. Solov'ev E A 2005 J. Phys. B: At. Mol. Phys. 38 R153
42. Günther U, Rotter I and Samsonov B F 2007 J. Phys. A: Math. Gen. 40 8815
43. Dembowski C, Gräf H D, Harney H L, Heine A, Heiss W D, Rehfeld H and Richter A 2001 Phys. Rev. Lett. 86 787
44. Dembowski C, Dietz B, Gräf H D, Harney H L, Heine A, Heiss W D and Richter A 2003 Phys. Rev. Lett. 90 034101
45. Magunov A I, Rotter I and Strakhova S I 1999 J. Phys. B: At. Mol. Phys. 32 1669
46. Magunov A I, Rotter I and Strakhova S I 2001 J. Phys. B: At. Mol. Phys. 34 29
47. Klaiman S, Günther U and Moiseyev N 2008 Phys. Rev. Lett. 101 080402
48. Stöckmann H J 2000 Quantum Chaos: An Introduction (Cambridge: Cambridge University Press)
49. Persson E, Rotter I, Stöckmann H J and Barth M 2000 Phys. Rev. Lett. 85 2478
50. Jung C, Müller M and Rotter I 1999 Phys. Rev. E 60 114
51. Heiss W D, Müller M and Rotter I 1998 Phys. Rev. E 58 2894
52. Kleinwächter P and Rotter I 1985 Phys. Rev. C 32 1742
53. Popov A K and Myslivets S A 2008 Appl. Phys. Lett. 93 191117
54. Litchinitser N M and Shalaev V M 2009 Nat. Photon. 3 75
55. Rotter I and Sadreev A F 2005 Phys. Rev. E 71 046204
56. Goldstein M and Berkovits R 2007 New J. Phys. 9 118
57. Golosov D I and Gefen Y 2007 New J. Phys. 9 120
58. Oreg Y 2007 New J. Phys. 9 122
59. Silvestrov P G and Imry Y 2007 New J. Phys. 9 125
60. Saminadayar L, Mohanty P, Webb R A, Degiovanni P and Bäuerle C 2007 Physica 40 12
61. Lin J J, Lee T C and Wang S W 2007 Physica 40 25
62. Golubev D S and Zaikin A D 2007 Physica 40 32