Optical waveguide arrays: Quantum effects and PT symmetry breaking

EPJ Applied Physics

Volumn 63, Issue 3, 2013, Pages

  Joglekar, Yogesh N ^a   Thompson, Clinton ^a   Scott, Derek D ^a   Vemuri, Gautam ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL PARTICLE; COMPLEX CONJUGATE EIGENVALUES; COUPLED OPTICAL WAVEGUIDES; COUPLED WAVEGUIDES; INITIAL WAVE PACKET; OPTICAL WAVEGUIDE ARRAYS; QUANTUM PARTICLES; TIGHT BINDING MODEL;

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVES; HAMILTONIANS; QUANTUM CHEMISTRY; SPECTROSCOPY; WAVEGUIDES;

QUANTUM ELECTRONICS;

EID: 84883644269     PISSN: 12860042     EISSN: 12860050     Source Type: Journal    
DOI: 10.1051/epjap/2013130240     Document Type: Review

References (81)

1. P.A.M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, New York, 1996)
2. J.J. Sakurai, Modern Quantum Mechanics (Addison Wesley, New York, 1995)
3. X.-G. Wen, Quantum Field Theory of Many-Body Systems (Oxford University Press, New York, 2004)
4. J.D. Jackson, Classical Electrodynamics (John Wiley & Sons, Hoboken, NJ, 1999)
5. D.N. Christodoulides, F. Lederer, Y. Silberberg, Nature 424, 817 (2003). and references therein
6. A. Szameit, S. Nolte, J. Phys. B: At. Mol. Opt. Phys. 43 (2010)
7. I.L. Garanovich, S. Longhi, A.A. Sukhorukov, Y.S. Kivshar, Phys. Rep. 518, 1 (2012)
8. H.S. Eisenberg, Y. Silberberg, R. Morandotti, J.S. Aitchison, Phys. Rev. Lett. 85, 1863 (2000)
9. A.L. Jones, J. Opt. Soc. Am. 55, 261 (1965)
10. A. Yariv, IEEE J. Quantum Electron. 9, 919 (1973)
11. W.-P. Huang, J. Opt. Soc. Am. 11, 963 (1994)
12. U. Peschel, T. Pertsch, F. Lederer, Opt. Lett. 23, 1701 (1998)
13. A. Rai, G.S. Agarwal, Phys. Rev. A 79, 053849 (2009)
14. S. Longhi, Opt. Lett. 35, 235 (2010)
15. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D.N. Christodoulides, Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008)
16. C. Thompson, G. Vemuri, G.S. Agarwal, Phys. Rev. A 82, 053805 (2010)
17. D.S. Wiersma, P. Bartolini, A. Legendijk, R. Righini, Nature 390, 671 (1997)
18. S. John, Phys. Rev. Lett. 53, 2169 (1984)
19. S. Ghosh, G.P. Agrawal, B.P. Pal, R.K. Varshney, Opt. Commun. 284, 201 (2011)
20. H.S. Eisenberg, Y. Silberberg, R. Morandotti, A.R. Boyd, J.S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998)
21. A.A. Sukhorukov, Y.S. Kivshar, H.E. Eisenberg, Y. Silberberg, IEEE J. Quantum Electron. 39, 31 (2003)
22. H.B. Perets, Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, Y. Silberberg, Phys. Rev. Lett. 100, 170506 (2008)
23. Y. Bromberg, Y. Lahini, R. Morandotti, Y. Silberberg, Phys. Rev. Lett. 102, 253904 (2009)
24. A. Peruzzo, M. Lobino, J.C.F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M.G. Thompson, J.L. O'Brien, Science 329, 1500 (2010)
25. Y. Bromberg, Y. Lahini, E. Small, Y. Silberberg, Nat. Photonics 4, 721 (2010)
26. A.B. Khanikaev, S. Hossein Mousavi, W.-K. Tse, M. Kargarian, A.H. MacDonald, G. Shvets, Nat. Mater. 12, 233 (2013)
27. M.C. Rechtsman, J.M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, A. Szameit, Nature 496, 196 (2013)
28. M. Di Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, New York, 2008)
29. W. Ketterle, M.W. Zwierlein,. arXiv:0801.2500
30. C.M. Bender, S. Boettche, Phys. Rev. Lett. 80, 5243 (1998)
31. C.M. Bender, D.C. Brody, H.F. Jones, Phys. Rev. Lett. 89, 270401 (2002)
32. C.M. Bender, Rept. Progr. Phys. 70, 947 (2007)
33. A. Mostafzadeh, Int. J. Geom. Meth. Mod. Phys. 7, 1191 (2010)
34. S. Longhi, Phys. Rev. Lett. 103, 123601 (2009)
35. H. Hernandez-Coronado, D. Krejčiřík, P. Siegl, Phys. Lett. A 375, 2149 (2011)
36. Y.D. Chong, L. Ge, H. Cao, A.D. Stone, Phys. Rev. Lett. l05, 053901 (2010)
37. W. Wan, Y. Chong, L. Ge, H. Noh, A.D. Stone, H. Cao, Science 331, 889 (2011)
38. S. Longhi, Phys. Rev. Lett. 105, 013903 (2010)
39. H. Xiong, Phys. Rev. A 82, 053615 (2010)
40. H. Schomerus, N. Halperin, Phys. Rev. Lett. 110, 013903 (2013)
41. H. Schomerus, Opt. Lett. 38, 1912 (2013)
42. R. Driben, B.A. Malomed, Opt. Lett. 36, 4323 (2011)
43. R. Driben, B.A. Malomed, Europhys. Lett. 99, 54001 (2012)
44. A. Guo, G.J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G.A. Sivlioglou, D.N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009)
45. C.E. Rüter, K.G. Makris, R. El-Ganainy, D.N. Christodoulides, M. Segev, D. Kip, Nat. Phys. 6, 192 (2010)
46. L. Feng, M. Ayache, J. Huang, Y.-L. Xu, M.-H. Lu, Y.-F. Chen, Y. Fainman, A. Scherer, Science 333, 729 (2011)
47. A. Regensburger, C. Bersch, M.-A. Miri, G. Onishchukov, D.N. Christodoulides, U. Peschel, Nature 488, 167 (2012)
48. R.W. Boyd, Nonlinear Optics (Academic Press, Burlington, MA, 2008)
49. T.B. Boykin, G. Klimeck, Eur. J. Phys. 25, 503 (2004)
50. C. Kittel, Introduction to Solid State Physics (John Wiley & Sons, Hoboken, NJ, 2005)
51. N.W. Ashcroft, N. David Mermin, Solid State Physics (Saunders College Publishing, Orland, FL, 1976)
52. H. Vemuri, V. Vavilala, T. Bhamidipati, V. Vavilala, Y.N. Joglekar, Phys. Rev. A 84, 043826 (2011)
53. A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, Opt. Express 15, 1579 (2007)
54. M. Bellec, G.M. Nikolopoulos, S. Tzortzakis, Opt. Lett. 37, 4504 (2012)
55. A. Perez-Leija, H. Moya-Cessa, A. Szameit, D.N. Christodoulies, Opt. Lett. 35, 2409 (2010)
56. S. Longhi, Phys. Rev. B 82, 041106(R) (2010)
57. Y.N. Joglekar, A. Saxena, Phys. Rev. A 83, 050101(R) (2011)
58. Y.N. Joglekar, Phys. Rev. A 82, 044101 (2010)
59. L. Van Hove, Phys. Rev. 89, 1189 (1953)
60. Y.N. Joglekar, C. Thompson, G. Vemuri, Phys. Rev. A 83, 063817 (2011)
61. P.W. Anderson, Phys. Rev. 109, 1492 (1977)
62. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)
63. R.E. Borland, Proc. Roy. Soc. A 274, 529 (1963)
64. B.I. Halperin, Adv. Chem. Phys. 13, 123 (1967)
65. J.C. Kimball, Phys. Rev. B 24, 2964 (1981)
66. Y.N. Joglekar, W.A. Karr, Phys. Rev. E 83, 031122 (2011)
67. C. Thompson, Y.N. Joglekar, G. Vemuri, Phys. Rev. A 86, 043822 (2012)
68. D.J. Griffith, Introduction to Quantum Mechanics (Prentice-Hall, Upper Saddle River, NJ, 2004),. problem 2.46
69. A.J. Leggett, S. Chakravary, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)
70. C.M. Bender, D.C. Brody, H.F. Jones, Am. J. Phys. 71, 1095 (2003)
71. K. Hoffman, R. Kunze, Linear Algebra (Prentice-Hall, Englewood Cliffs, NJ, 1971)
72. L. Jin, Z. Song, Phys. Rev. A 80, 052107 (2009)
73. Y.N. Joglekar, D. Scott, M. Babbey, A. Saxena, Phys. Rev. A 82, 030103(R) (2010)
74. D.D. Scott, Y.N. Joglekar, Phys. Rev. A 83, 050102(R) (2011)
75. J. Schindler, A. Li, M.C. Zheng, F.M. Ellis, T. Kottos, Phys. Rev. A 84, 040101(R) (2011)
76. C.M. Bender, B.K. Berntson, D. Parker, E. Samuel, Am. J. Phys. 81, 173 (2013)
77. Y.N. Joglekar, J.L. Barnett, Phys. Rev. A 84, 024103 (2011)
78. M.C. Zheng, D.N. Christodoulides, R. Fleischmann, T. Kottos, Phys. Rev. A 82, 010103(R) (2010)
79. Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D.N. Christodoulies, R. Morandotti, Y. Silberberg, Phys. Rev. A 84, 041806(R) (2011)
80. G. Della Valle, S. Longhi, Phys. Rev. A 87, 022119 (2013)
81. L.V. Barashenko, L. Baker, N.V. Alexeeva, Phys. Rev. A 87, 033819 (2013)