Nonlinearly PT-symmetric systems: Spontaneous symmetry breaking and transmission resonances

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 1, 2011, Pages

  Miroshnichenko, Andrey E ^a   Malomed, Boris A ^b   Kivshar, Yuri S ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC; BASIC SYSTEMS; EIGENSTATES; ELECTROMAGNETICALLY INDUCED TRANSPARENCY; LINEAR CHAIN; MULTISTABLE; NONLINEAR AMPLIFICATION; NONLINEAR FANO RESONANCE; NONLINEAR LOSS; SPONTANEOUS SYMMETRY BREAKING; TRANSMISSION RESONANCE;

RESONANCE;

HAMILTONIANS;

EID: 79961108950     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.012123     Document Type: Article

References (38)

1. C. M. Bender and S. Boettcher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5243 80, 5243 (1998);
2. C. M. Bender, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/70/6/ R03 70, 947 (2007).
3. A. Ruschhaupt, F. Delgado, and J. G. Muga, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/9/L03 38, L171 (2005); (Pubitemid 40344826)
4. R. El-Ganainy, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.32.002632 32, 2632 (2007). (Pubitemid 351303009)
5. M. V. Berry, J. Phys. A OPLEDP 1751-8113 10.1088/1751-8113/41/24/244007 41, 244007 (2008);
6. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z.H. Musslimani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.103904 100, 103904 (2008); (Pubitemid 351399143)
7. S. Klaiman, U. Günther, and N. Moiseyev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.080402 101, 080402 (2008);
8. S. Longhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 123601 103, 123601 (2009);
9. S. Longhi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.031801 82, 031801 (R) (2010);
10. Y. N. Joglekar, D. Scott, M. Babbey, and A. Saxena, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.030103 82, 030103 (R) (2010).
11. F. Kh. Abdullaev, Y. V. Kartashov, V. V. Konotop, and D. A. Zezyulin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.041805 83, 041805 (R) (2011).
12. A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.093902 103, 093902 (2009);
13. C. E. Ruter, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1515 6, 192 (2010).
14. Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030402 100, 030402 (2008); (Pubitemid 351161760)
15. A. A. Sukhorukov, Z. Xu, and Y. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.043818 82, 043818 (2010);
16. H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.043803 82, 043803 (2010);
17. K. Li and P. G. Kevrekidis, e-print arXiv: 1102.0809.
18. U. Keller, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/2944.571743 2, 435 (1996).
19. P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. S. Skolnick, D. M. Whittaker, and J. S. Roberts, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1547 84, 1547 (2000);
20. R. Houdre, C. Weisbuch, R. P. Stanley, U. Oesterle, and M. Ilegems, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2793 85, 2793 (2000);
21. C. Ciuti, P. Schwendimann, B. Deveaud, and A. Quattropani, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.62.R4825 62, R4825 (2000);
22. G. Malpuech, A. Kavokin, A. DiCarlo, and J. J. Baumberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.153310 65, 153310 (2002);
23. M. Saba, Nature (London) NATUAS 0028-0836 10.1038/414731a 414, 73 (2001); (Pubitemid 34000766)
24. H. Deng, Science SCIEAS 0036-8075 10.1126/science.1074464 298, 199 (2002).
25. D. J. Bergman and M. I. Stockman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.027402 90, 027402 (2003);
26. J. Seidel, S. Grafstrom, and L. Eng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.177401 94, 177401 (2005); (Pubitemid 41492295)
27. N. I. Zheludev, Nat. Photonics PRLTAO 1749-4885 10.1038/nphoton.2008.82 2, 35 (2008);
28. M. A. Noginov, Nat. Photonics 460, 1110 (2009);
29. A. Marini, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.002864 34, 2864 (2009).
30. A. V. Bagada, G. A. Melkov, A. A. Serga, and A. N. Slavin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2137 79, 2137 (1997);
31. M. Tsoi, Nature (London) NATUAS 0028-0836 10.1038/35017512 406, 46 (2000); (Pubitemid 30460203)
32. S. O. Demokritov, Nature (London) NATUAS 0028-0836 10.1038/nature05117 443, 430 (2006). (Pubitemid 44477276)
33. A. E. Miroshnichenko, S. Flach, and Y. S. Kivshar, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.2257 82, 2257 (2010).
34. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.633 77, 633 (2005). (Pubitemid 41491332)
35. B. A. Malomed and H. G. Winful, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.5365 53, 5365 (1996);
36. H. E. Nistazakis, D. J. Frantzeskakis, J. Atai, B. A. Malomed, N. Efremidis, and K. Hizanidis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65. 036605 65, 036605 (2002); (Pubitemid 40619310)
37. P. V. Paulau, D. Gomila, D. Ackemann, N. A. Loiko, and W. J. Firth, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.016212 78, 016212 (2008);
38. A. Marini, D. V. Skryabin, and B. A. Malomed, Opt. Express OPEXFF 1094-4087 10.1364/OE.19.006616 19, 6616 (2011).