Dark solitons and vortices in PT-symmetric nonlinear media: From spontaneous symmetry breaking to nonlinear PT phase transitions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 1, 2012, Pages

  Achilleos, V ^a   Kevrekidis, P G ^b   Frantzeskakis, D J ^a   Carretero Gonzalez R ^c  

^a UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

^c SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL POINTS; DARK SOLITONS; DEFOCUSING; FIRST EXCITED STATE; NON-LINEAR MEDIA; SPONTANEOUS SYMMETRY BREAKING; WEAK VALUES;

EXCITED STATES; GROUND STATE; LINEAR SYSTEMS; VORTEX FLOW;

SOLITONS;

EID: 84863658978     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.013808     Document Type: Article

References (28)

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, S. Boettcher, and P. N. Meisinger, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.532860 40, 2201 (1999);
3. C. M. Bender, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/70/6/ R03 70, 947 (2007).
4. 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)
5. K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063807 81, 063807 (2010).
6. 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).
7. C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nature Phys. 1745-2473 10.1038/nphys1515 6, 192 (2010).
8. J. Schindler, A. Li, M. C. Zheng, F. M. Ellis, and T. Kottos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.040101 84, 040101 (2011).
9. 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).
10. A. A. Sukhorukov, Z. Xu, and Yu. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.043818 82, 043818 (2010).
11. M. C. Zheng, D. N. Christodoulides, R. Fleischmann, and T. Kottos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.010103 82, 010103 (R) (2010).
12. E. M. Graefe, H. J. Korsch, and A. E. Niederle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.150408 101, 150408 (2008).
13. E. M. Graefe, H. J. Korsch, and A. E. Niederle, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.013629 82, 013629 (2010).
14. Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106. 213901 106, 213901 (2011).
15. K. Li and P. G. Kevrekidis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.066608 83, 066608 (2011).
16. S. V. Dmitriev, S. V. Suchkov, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.013833 84, 013833 (2011).
17. S. V. Suchkov, B. A. Malomed, S. V. Dmitriev, and Yu. S. Kivshar, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.046609 84, 046609 (2011).
18. A. E. Miroshnichenko, B. A. Malomed, and Yu. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.012123 84, 012123 (2011).
19. 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 (2011).
20. D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/64003 96, 64003 (2011).
21. D. A. Zezyulin and V. V. Konotop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.043840 85, 043840 (2012).
22. H. G. Li, Z. W. Shi, X. J. Jiang, and X. Zhu, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.003290 36, 3290 (2011).
23. P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-González, Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment (Springer-Verlag, Heidelberg, 2008).
24. D. J. Frantzeskakis, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/43/21/213001 43, 213001 (2010).
25. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
26. Yu. S. Kivshar and B. Luther-Davies, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00073-2 298, 81 (1998).
27. G. Theocharis, P. G. Kevrekidis, M. K. Oberthaler, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.045601 76, 045601 (2007); (Pubitemid 47608535)
28. G. Theocharis, A. Weller, J. P. Ronzheimer, C. Gross, M. K. Oberthaler, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063604 81, 063604 (2010).