Exceptional points in a microwave billiard with time-reversal invariance violation

Physical Review Letters

Volumn 106, Issue 15, 2011, Pages

  Dietz, B ^a   Harney, H L ^b   Kirillov, O N ^c   Miski Oglu, M ^a   Richter, A ^a,d   Schafer F ^a,e  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^c INSTITUTE OF ION BEAM PHYSICS AND MATERIALS RESEARCH   (Germany)

^d ECT   (Italy)

^e UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EXPERIMENTAL STUDIES; GEOMETRIC PHASIS; MICROWAVE BILLIARDS; NONSYMMETRIC; PARAMETER PLANE; RELATIVE PHASE; TIME-REVERSAL INVARIANCE; TWO-STATE;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 79960621578     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.106.150403     Document Type: Article

References (49)

1. J.C. Garrison and E.M. Wright, Phys. Lett. A PYLAAG 0375-9601 128, 177 (1988); 10.1016/0375-9601(88)90905-X
2. M.V. Berry, Proc. R. Soc. A PRLAAZ 0080-4630 430, 405 (1990); 10.1098/rspa.1990.0096
3. K.Yu. Bliokh, J. Phys. A JPHAC5 0305-4470 32, 2551 (1999). 10.1088/0305-4470/32/13/007
4. N. Moiseyev and S. Friedland, Phys. Rev. A 22, 618 (1980); PLRAAN 1050-2947 10.1103/PhysRevA.22.618
5. W.D. Heiss and A.L. Sannino, J. Phys. A JPHAC5 0305-4470 23, 1167 (1990); 10.1088/0305-4470/23/7/022
6. E. Hernandez, A. Jauregui, and A. Mondragon, J. Phys. A JPHAC5 0305-4470 33, 4507 (2000); 10.1088/0305-4470/33/24/308
7. A.P. Seyranian, O.N. Kirillov, and A.A. Mailybaev, J. Phys. A JPHAC5 0305-4470 38, 1723 (2005). 10.1088/0305-4470/38/8/009 (Pubitemid 40306594)
8. H.L. Harney and W.D. Heiss, Eur. Phys. J. D 29, 429 (2004); EPJDF6 1434-6060 10.1140/epjd/e2004-00049-7 (Pubitemid 38750839)
9. W.D. Heiss, J. Phys. A JPHAC5 0305-4470 39, 10077 (2006). 10.1088/0305-4470/39/32/S09 (Pubitemid 44159636)
10. I. Rotter, J. Phys. A 1751-8113 42, 153001 (2009). 10.1088/1751-8113/42/ 15/153001
11. M.V. Berry, Proc. R. Soc. A PRLAAZ 0080-4630 392, 45 (1984). 10.1098/rspa.1984.0023
12. M.V. Berry and M.R. Dennis, Proc. R. Soc. A PRLAAZ 0080-4630 459, 1261 (2003). 10.1098/rspa.2003.1155 (Pubitemid 38333387)
13. T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1966).
14. O. Latinne, Phys. Rev. Lett. 74, 46 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.74.46
15. E. Narevicius and N. Moiseyev, Phys. Rev. Lett. 84, 1681 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.1681
16. H.A. Weidenmüller, Phys. Rev. B PRBMDO 0163-1829 68, 125326 (2003); 10.1103/PhysRevB.68.125326
17. H. Cartarius, J. Main, and G. Wunner, Phys. Rev. Lett. 99, 173003 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.173003 (Pubitemid 350015172)
18. P. Cejnar, S. Heinze, and M. Macek, Phys. Rev. Lett. 99, 100601 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.100601 (Pubitemid 47388588)
19. R. Lefebvre, O. Atabek, M. Sindelka, and N. Moiseyev, Phys. Rev. Lett. 103, 123003 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.103.123003
20. R. Lefebvre and O. Atabek, Eur. Phys. J. D EPJDF6 1434-6060 56, 317 (2009). 10.1140/epjd/e2009-00315-2
21. J. Wiersig, S.W. Kim, and M. Hentschel, Phys. Rev. A 78, 053809 (2008); PLRAAN 1050-2947 10.1103/PhysRevA.78.053809
22. J.-W. Ryu, S.-Y. Lee, and S.W. Kim, Phys. Rev. A 79, 053858 (2009); PLRAAN 1050-2947 10.1103/PhysRevA.79.053858
23. A.C. Or, Q. J. Mech. Appl. Math. QJMMAV 0033-5614 44, 559 (1991); 10.1093/qjmam/44.4.559
24. M. Kammerer, F. Merz, and F. Jenko, Phys. Plasmas 15, 052102 (2008); PHPAEN 1070-664X 10.1063/1.2909618 (Pubitemid 351776663)
25. O.N. Kirillov, Proc. R. Soc. A 464, 2321 (2008); PRLAAZ 0080-4630 10.1098/rspa.2008.0021
26. S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. 101, 080402 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.080402
27. Ch.E. Ruter, Nature Phys. 6, 192 (2010). NPAHAX 1745-2473 10.1038/nphys1515
28. M. Philipp, P. von Brentano, G. Pascovici, and A. Richter, Phys. Rev. E PLEEE8 1063-651X 62, 1922 (2000). 10.1103/PhysRevE.62.1922
29. C. Dembowski, Phys. Rev. Lett. 86, 787 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.86.787 (Pubitemid 32159790)
30. C. Dembowski Phys. Rev. E PLEEE8 1539-3755 69, 056216 (2004). 10.1103/PhysRevE.69.056216
31. C. Dembowski, Phys. Rev. Lett. 90, 034101 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.034101
32. B. Dietz, Phys. Rev. E PLEEE8 1539-3755 75, 027201 (2007). 10.1103/PhysRevE.75.027201 (Pubitemid 46203545)
33. H.-J. Stöckmann and J. Stein, Phys. Rev. Lett. 64, 2215 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.64.2215
34. H.-D. Gräf, Phys. Rev. Lett. 69, 1296 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.1296
35. T. Stehmann, W.D. Heiss, and F.G. Scholtz, J. Phys. A JPHAC5 0305-4470 37, 7813 (2004). 10.1088/0305-4470/37/31/012 (Pubitemid 39057697)
36. S.-B. Lee, Phys. Rev. Lett. 103, 134101 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.103.134101
37. Y. Choi, Phys. Rev. Lett. 104, 153601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.153601
38. B. Dietz, Phys. Rev. Lett. 98, 074103 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.074103
39. F. Haake, Quantum Signatures of Chaos (Springer, New York, 2001).
40. A.A. Mailybaev, O.N. Kirillov, and A.P. Seyranian, Phys. Rev. A 72, 014104 (2005); PLRAAN 1050-2947 10.1103/PhysRevA.72.014104 (Pubitemid 41492576)
41. A.A. Mailybaev O.N. Kirillov A.P. Seyranian Dokl. Math. 1064-5624 73, 129 (2006). 10.1134/S1064562406010352
42. H. Mehri-Dehnavi and A. Mostafazadeh, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 49, 082105 (2008). 10.1063/1.2968344
43. S. Sridhar, Phys. Rev. Lett. 67, 785 (1991); PRLTAO 0031-9007 10.1103/PhysRevLett.67.785
44. A. Richter, in Emerging Applications of Number Theory, edited by, D.A. Hejhal, IMA Vol. 109 (Springer, New York, 1999), p. 479;
45. H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, 2000).
46. H. Driller, Nucl. Phys. NUPABL 0375-9474 A317, 300 (1979); 10.1016/0375-9474(79)90484-6
47. J.M. Pearson and A. Richter, Phys. Lett. 56B, 112 (1975). PYLBAJ 0370-2693 10.1016/0370-2693(75)90279-8
48. A. Richter, in Interaction Studies in Nuclei, edited by, H. Jochim, and, B. Ziegler, (North-Holland, Amsterdam 1975), p. 191.
49. H.-M. Lauber, P. Weidenhammer, and D. Dubbers, Phys. Rev. Lett. 72, 1004 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.1004