-
1
-
-
0036281223
-
-
See, for instance 10.1016/S0370-1573(02)00142-4
-
See, for instance, M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002). 10.1016/S0370-1573(02)00142-4
-
(2002)
Phys. Rep.
, vol.366
, pp. 103
-
-
Glück, M.1
Kolovsky, A.R.2
Korsch, H.J.3
-
3
-
-
7544236291
-
-
10.1103/PhysRevLett.69.351
-
M. Holthaus, Phys. Rev. Lett. 69, 351 (1992). 10.1103/PhysRevLett.69.351
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 351
-
-
Holthaus, M.1
-
4
-
-
0030168327
-
-
10.1103/PhysRevLett.76.4508;
-
M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. 76, 4508 (1996) 10.1103/PhysRevLett.76.4508
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 4508
-
-
Ben Dahan, M.1
Peik, E.2
Reichel, J.3
Castin, Y.4
Salomon, C.5
-
5
-
-
0030164580
-
-
10.1103/PhysRevLett.76.4512;
-
S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996) 10.1103/PhysRevLett.76.4512
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 4512
-
-
Wilkinson, S.R.1
Bharucha, C.F.2
Madison, K.W.3
Niu, Q.4
Raizen, M.G.5
-
7
-
-
0001543183
-
-
10.1103/PhysRevLett.83.4756;
-
R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999) 10.1103/PhysRevLett.83.4756
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 4756
-
-
Morandotti, R.1
Peschel, U.2
Aitchison, J.S.3
Eisenberg, H.S.4
Silberberg, Y.5
-
8
-
-
0001543182
-
-
10.1103/PhysRevLett.83.4752;
-
T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999) 10.1103/PhysRevLett.83.4752
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 4752
-
-
Pertsch, T.1
Dannberg, P.2
Elflein, W.3
Bräuer, A.4
Lederer, F.5
-
9
-
-
1042265924
-
-
10.1103/PhysRevLett.91.263902;
-
R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003) 10.1103/PhysRevLett.91.263902
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 263902
-
-
Sapienza, R.1
Costantino, P.2
Wiersma, D.3
Ghulinyan, M.4
Oton, C.J.5
Pavesi, L.6
-
10
-
-
32644481199
-
-
10.1103/PhysRevLett.96.023901;
-
H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006) 10.1103/PhysRevLett.96.023901
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 023901
-
-
Trompeter, H.1
Pertsch, T.2
Lederer, F.3
Michaelis, D.4
Streppel, U.5
Bräuer, A.6
Peschel, U.7
-
11
-
-
33745758226
-
-
10.1364/OL.31.001651
-
N. Chiodo, G. Della Valle, R. Osellame, S. Longhi, G. Cerullo, R. Ramponi, P. Laporta, and U. Morgner, Opt. Lett. 31, 1651 (2006). 10.1364/OL.31.001651
-
(2006)
Opt. Lett.
, vol.31
, pp. 1651
-
-
Chiodo, N.1
Della Valle, G.2
Osellame, R.3
Longhi, S.4
Cerullo, G.5
Ramponi, R.6
Laporta, P.7
Morgner, U.8
-
12
-
-
33745323388
-
-
10.1103/PhysRevLett.96.243901;
-
S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006) 10.1103/PhysRevLett.96. 243901
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 243901
-
-
Longhi, S.1
Marangoni, M.2
Lobino, M.3
Ramponi, R.4
Laporta, P.5
Cianci, E.6
Foglietti, V.7
-
13
-
-
33750184906
-
-
10.1103/PhysRevB.74.155116;
-
S. Longhi, M. Lobino, M. Marangoni, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. B 74, 155116 (2006) 10.1103/PhysRevB.74.155116
-
(2006)
Phys. Rev. B
, vol.74
, pp. 155116
-
-
Longhi, S.1
Lobino, M.2
Marangoni, M.3
Ramponi, R.4
Laporta, P.5
Cianci, E.6
Foglietti, V.7
-
14
-
-
33947391668
-
-
10.1364/OE.15.003212
-
R. Iyer, J. S. Aitchison, J. Wan, M. M. Dignam, and C. M. de Sterke, Opt. Express 15, 3212 (2007). 10.1364/OE.15.003212
-
(2007)
Opt. Express
, vol.15
, pp. 3212
-
-
Iyer, R.1
Aitchison, J.S.2
Wan, J.3
Dignam, M.M.4
De Sterke, C.M.5
-
15
-
-
40349094711
-
-
10.1364/OE.16.003474;
-
F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tünnermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008) 10.1364/OE.16.003474
-
(2008)
Opt. Express
, vol.16
, pp. 3474
-
-
Dreisow, F.1
Heinrich, M.2
Szameit, A.3
Doering, S.4
Nolte, S.5
Tünnermann, A.6
Fahr, S.7
Lederer, F.8
-
16
-
-
63849098433
-
-
10.1038/nphys1221
-
A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Yu. S. Kivshar, Nat. Phys. 5, 271 (2009). 10.1038/nphys1221
-
(2009)
Nat. Phys.
, vol.5
, pp. 271
-
-
Szameit, A.1
Garanovich, I.L.2
Heinrich, M.3
Sukhorukov, A.A.4
Dreisow, F.5
Pertsch, T.6
Nolte, S.7
Tünnermann, A.8
Kivshar, Yu.S.9
-
17
-
-
36448984354
-
-
10.1103/PhysRevLett.99.220403;
-
H. Lignier, C. Sias, D. Ciampini, Y. Singh, A. Zenesini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. 99, 220403 (2007) 10.1103/PhysRevLett.99.220403
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 220403
-
-
Lignier, H.1
Sias, C.2
Ciampini, D.3
Singh, Y.4
Zenesini, A.5
Morsch, O.6
Arimondo, E.7
-
18
-
-
59249090147
-
-
10.1103/PhysRevA.79.013611
-
A. Eckardt, M. Holthaus, H. Lignier, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. A 79, 013611 (2009). 10.1103/PhysRevA.79.013611
-
(2009)
Phys. Rev. A
, vol.79
, pp. 013611
-
-
Eckardt, A.1
Holthaus, M.2
Lignier, H.3
Zenesini, A.4
Ciampini, D.5
Morsch, O.6
Arimondo, E.7
-
19
-
-
27144504144
-
-
10.1103/PhysRevLett.95.053902
-
R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, Phys. Rev. Lett. 95, 053902 (2005). 10.1103/PhysRevLett.95. 053902
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 053902
-
-
Iwanow, R.1
May-Arrioja, D.A.2
Christodoulides, D.N.3
Stegeman, G.I.4
Min, Y.5
Sohler, W.6
-
20
-
-
40849126981
-
-
10.1103/PhysRevA.77.035802
-
S. Longhi, Phys. Rev. A 77, 035802 (2008). 10.1103/PhysRevA.77.035802
-
(2008)
Phys. Rev. A
, vol.77
, pp. 035802
-
-
Longhi, S.1
-
23
-
-
10644247724
-
-
10.1364/OL.29.002752
-
R. Gordon, Opt. Lett. 29, 2752 (2004). 10.1364/OL.29.002752
-
(2004)
Opt. Lett.
, vol.29
, pp. 2752
-
-
Gordon, R.1
-
24
-
-
41149106314
-
-
10.1364/OL.33.000473;
-
S. Longhi, Opt. Lett. 33, 473 (2008) 10.1364/OL.33.000473
-
(2008)
Opt. Lett.
, vol.33
, pp. 473
-
-
Longhi, S.1
-
25
-
-
55849112664
-
-
10.1063/1.2999624
-
A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, Appl. Phys. Lett. 93, 181109 (2008). 10.1063/1.2999624
-
(2008)
Appl. Phys. Lett.
, vol.93
, pp. 181109
-
-
Szameit, A.1
Dreisow, F.2
Heinrich, M.3
Pertsch, T.4
Nolte, S.5
Tünnermann, A.6
Suran, E.7
Louradour, F.8
Barthelemy, A.9
Longhi, S.10
-
26
-
-
69549101626
-
-
10.1103/PhysRevB.80.033106
-
S. Longhi, Phys. Rev. B 80, 033106 (2009). 10.1103/PhysRevB.80.033106
-
(2009)
Phys. Rev. B
, vol.80
, pp. 033106
-
-
Longhi, S.1
-
27
-
-
77955631177
-
-
10.1103/PhysRevB.81.195118
-
S. Longhi, Phys. Rev. B 81, 195118 (2010). 10.1103/PhysRevB.81.195118
-
(2010)
Phys. Rev. B
, vol.81
, pp. 195118
-
-
Longhi, S.1
-
29
-
-
0009422551
-
-
See, for example, the review:, 10.1016/0370-1573(94)00080-M
-
See, for example, the review: F. Cooper, A. Khare, and U. Sukhatme, Phys. Rep. 251, 267 (1995). 10.1016/0370-1573(94)00080-M
-
(1995)
Phys. Rep.
, vol.251
, pp. 267
-
-
Cooper, F.1
Khare, A.2
Sukhatme, U.3
-
31
-
-
77956665828
-
-
For a semi-infinite lattice, where n=0,1,2,3,..., E=0 is an eigenvalue of H provided that ψ0 (n) is bounded as n→, which implies a constrain on the asymptotic behavior of F1 (n) and F2 (n) as n→. Conversely, for a finite lattice with F1 (N) =0 and F2 (0) =0, E=0 is always an eigenvalue of H.
-
For a semi-infinite lattice, where n = 0, 1, 2, 3,..., E = 0 is an eigenvalue of H provided that ψ 0 (n) is bounded as n →, which implies a constrain on the asymptotic behavior of F 1 (n) and F 2 (n) as n →. Conversely, for a finite lattice with F 1 (N) = 0 and F 2 (0) = 0, E = 0 is always an eigenvalue of H.
-
-
-
-
32
-
-
77950489224
-
-
10.1038/nphys1515
-
C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nat. Phys. 6, 192 (2010). 10.1038/nphys1515
-
(2010)
Nat. Phys.
, vol.6
, pp. 192
-
-
Rüter, C.E.1
Makris, K.G.2
El-Ganainy, R.3
Christodoulides, D.N.4
Segev, M.5
Kip, D.6
-
33
-
-
40849137868
-
-
10.1103/PhysRevLett.100.103904
-
K. G. Makris, R. El-Ganainy, D. N. Christodoulides, and Z. H. Musslimani, Phys. Rev. Lett. 100, 103904 (2008). 10.1103/PhysRevLett.100.103904
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 103904
-
-
Makris, K.G.1
El-Ganainy, R.2
Christodoulides, D.N.3
Musslimani, Z.H.4
|