M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7, 197–204 (2013).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

L. Levi, Y. Krivolapov, S. Fishman, and M. Segev, “Hyper-transport of light and stochastic acceleration by evolving disorder,” Nat. Phys. 8, 912–917 (2012).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

S. Ghosh, G. P. Agrawal, B. P. Pal, and R. K. Varshney, “Localization of light in evanescently coupled disordered waveguide lattices: dependence on the input beam profile,” Opt. Commun. 284, 201–206 (2011).

[CrossRef]

S. Flach, “Spreading of waves in nonlinear disordered media,” Chem. Phys. 375, 548–556 (2010).

[CrossRef]

A. Kanshu, C. E. Rüter, D. Kip, and V. M. Shandarov, “Optically-induced defect states in photonic lattices: formation of defect channels, directional couplers, and disordered lattices leading to Anderson-like light localization,” Appl. Phys. B 95, 537–543 (2009).

[CrossRef]

G. Gligorić, A. Maluckov, Lj. Hadžievski, and B. A. Malomed, “Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole–dipole interactions,” J. Phys. B 42, 145302 (2009).

[CrossRef]

Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, “Delocalization of wave packets in disordered nonlinear chains,” Phys. Rev. E 79, 056211 (2009).

[CrossRef]

S. Flach, D. O. Krimer, and Ch. Skokos, “Universal spreading of wave packets in disordered nonlinear systems,” Phys. Rev. Lett. 102, 024101 (2009).

[CrossRef]

B. G. Bale, S. Boscolo, O. Y. Schwartz, and S. K. Turitsyn, “Localized waves in optical systems with periodic dispersion and nonlinearity management,” Int. J. Opt. 2009, 181467 (2009).

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

A. S. Pikovsky and D. L. Shepelyansky, “Destruction of Anderson localization by a weak nonlinearity,” Phys. Rev. Lett. 100, 094101 (2008).

[CrossRef]

G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, “Absence of wave packet diffusion in disordered nonlinear systems,” Phys. Rev. Lett. 100, 084103 (2008).

[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).

[CrossRef]

D. N. Neshev, A. A. Sukhorukov, W. Królikowski, and Yu. S. Kivshar, “Nonlinear optics and light localization in periodic photonic lattices,” J. Nonlinear Opt. Phys. Mater. 16, 1–25 (2007).

[CrossRef]

S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics 2, 52–56 (2007).

[CrossRef]

P. V. Braun, S. A. Rinne, and F. Garcia-Santamaria, “Introducing defects in 3D photonic crystals: state of the art,” Adv. Mater. 18, 2665–2678 (2006).

[CrossRef]

C. E. Rüter, J. Wisniewski, and D. Kip, “Prism coupling method to excite and analyze Floquet–Bloch modes in linear and nonlinear waveguide arrays,” Opt. Lett. 31, 2768–2770 (2006).

[CrossRef]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays” Opt. Express 13, 4314–4324 (2005).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (2004).

[CrossRef]

R. Driben, B. A. Malomed, and U. Mahlab, “Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links,” Opt. Commun. 232, 129–138 (2004).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

D. Belitz and T. R. Kirkpatrick, “The Anderson–Mott transition,” Rev. Mod. Phys. 66, 261–380 (1994).

[CrossRef]

A. R. McGurn, K. T. Christensen, F. M. Müller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993).

[CrossRef]

M. N. Rosenbluth, “Comment on classical and quantum superdiffusion in a time-dependent random potential,” Phys. Rev. Lett. 69, 1831 (1992).

[CrossRef]

J. Fröhlich, T. Spencer, and C. E. Wayne, “Localization in disordered, nonlinear dynamical systems,” J. Stat. Phys. 42, 247–274 (1986).

[CrossRef]

S. S. Abdullaev and F. Kh. Abdullaev, “On the light propagation in the system of tunnel-coupled waveguides,” Radiofizika 23, 766–767 (1980).

G. M. Zaslavskii and B. V. Chirikov, “Stochastic instability of nonlinear oscillations,” Sov. Phys. Usp. 14, 549–566 (1972).

[CrossRef]

P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109, 1492–1505 (1958).

[CrossRef]

S. S. Abdullaev and F. Kh. Abdullaev, “On the light propagation in the system of tunnel-coupled waveguides,” Radiofizika 23, 766–767 (1980).

S. S. Abdullaev and F. Kh. Abdullaev, “On the light propagation in the system of tunnel-coupled waveguides,” Radiofizika 23, 766–767 (1980).

S. Ghosh, G. P. Agrawal, B. P. Pal, and R. K. Varshney, “Localization of light in evanescently coupled disordered waveguide lattices: dependence on the input beam profile,” Opt. Commun. 284, 201–206 (2011).

[CrossRef]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (2004).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109, 1492–1505 (1958).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, “Absence of wave packet diffusion in disordered nonlinear systems,” Phys. Rev. Lett. 100, 084103 (2008).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

B. G. Bale, S. Boscolo, O. Y. Schwartz, and S. K. Turitsyn, “Localized waves in optical systems with periodic dispersion and nonlinearity management,” Int. J. Opt. 2009, 181467 (2009).

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

D. Belitz and T. R. Kirkpatrick, “The Anderson–Mott transition,” Rev. Mod. Phys. 66, 261–380 (1994).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

B. G. Bale, S. Boscolo, O. Y. Schwartz, and S. K. Turitsyn, “Localized waves in optical systems with periodic dispersion and nonlinearity management,” Int. J. Opt. 2009, 181467 (2009).

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics 2, 52–56 (2007).

[CrossRef]

P. V. Braun, S. A. Rinne, and F. Garcia-Santamaria, “Introducing defects in 3D photonic crystals: state of the art,” Adv. Mater. 18, 2665–2678 (2006).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

G. M. Zaslavskii and B. V. Chirikov, “Stochastic instability of nonlinear oscillations,” Sov. Phys. Usp. 14, 549–566 (1972).

[CrossRef]

A. R. McGurn, K. T. Christensen, F. M. Müller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993).

[CrossRef]

M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7, 197–204 (2013).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. 13, 794–796 (1988).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

L. F. Cugliandolo, “Dynamics of glassy systems,” in Les Houuches 2002 (Springer, 2003).

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

E. J. Donth, The Glass Transition: Relaxation Dynamics in Liquids and Disordered Materials (Springer, 2001).

R. Driben, B. A. Malomed, and U. Mahlab, “Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links,” Opt. Commun. 232, 129–138 (2004).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

L. Levi, Y. Krivolapov, S. Fishman, and M. Segev, “Hyper-transport of light and stochastic acceleration by evolving disorder,” Nat. Phys. 8, 912–917 (2012).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).

[CrossRef]

S. Flach, “Spreading of waves in nonlinear disordered media,” Chem. Phys. 375, 548–556 (2010).

[CrossRef]

Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, “Delocalization of wave packets in disordered nonlinear chains,” Phys. Rev. E 79, 056211 (2009).

[CrossRef]

S. Flach, D. O. Krimer, and Ch. Skokos, “Universal spreading of wave packets in disordered nonlinear systems,” Phys. Rev. Lett. 102, 024101 (2009).

[CrossRef]

G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, “Absence of wave packet diffusion in disordered nonlinear systems,” Phys. Rev. Lett. 100, 084103 (2008).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

J. Fröhlich, T. Spencer, and C. E. Wayne, “Localization in disordered, nonlinear dynamical systems,” J. Stat. Phys. 42, 247–274 (1986).

[CrossRef]

S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics 2, 52–56 (2007).

[CrossRef]

P. V. Braun, S. A. Rinne, and F. Garcia-Santamaria, “Introducing defects in 3D photonic crystals: state of the art,” Adv. Mater. 18, 2665–2678 (2006).

[CrossRef]

S. Ghosh, G. P. Agrawal, B. P. Pal, and R. K. Varshney, “Localization of light in evanescently coupled disordered waveguide lattices: dependence on the input beam profile,” Opt. Commun. 284, 201–206 (2011).

[CrossRef]

G. Gligorić, A. Maluckov, Lj. Hadžievski, and B. A. Malomed, “Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole–dipole interactions,” J. Phys. B 42, 145302 (2009).

[CrossRef]

G. Gligorić, A. Maluckov, Lj. Hadžievski, and B. A. Malomed, “Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole–dipole interactions,” J. Phys. B 42, 145302 (2009).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

A. Kanshu, C. E. Rüter, D. Kip, and V. M. Shandarov, “Optically-induced defect states in photonic lattices: formation of defect channels, directional couplers, and disordered lattices leading to Anderson-like light localization,” Appl. Phys. B 95, 537–543 (2009).

[CrossRef]

A. Kanshu, C. E. Rüter, D. Kip, and V. M. Shandarov, “Optically-induced defect states in photonic lattices: formation of defect channels, directional couplers, and disordered lattices leading to Anderson-like light localization,” Appl. Phys. B 95, 537–543 (2009).

[CrossRef]

C. E. Rüter, J. Wisniewski, and D. Kip, “Prism coupling method to excite and analyze Floquet–Bloch modes in linear and nonlinear waveguide arrays,” Opt. Lett. 31, 2768–2770 (2006).

[CrossRef]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays” Opt. Express 13, 4314–4324 (2005).

[CrossRef]

D. Belitz and T. R. Kirkpatrick, “The Anderson–Mott transition,” Rev. Mod. Phys. 66, 261–380 (1994).

[CrossRef]

D. N. Neshev, A. A. Sukhorukov, W. Królikowski, and Yu. S. Kivshar, “Nonlinear optics and light localization in periodic photonic lattices,” J. Nonlinear Opt. Phys. Mater. 16, 1–25 (2007).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, “Delocalization of wave packets in disordered nonlinear chains,” Phys. Rev. E 79, 056211 (2009).

[CrossRef]

G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, “Absence of wave packet diffusion in disordered nonlinear systems,” Phys. Rev. Lett. 100, 084103 (2008).

[CrossRef]

G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, “Absence of wave packet diffusion in disordered nonlinear systems,” Phys. Rev. Lett. 100, 084103 (2008).

[CrossRef]

Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, “Delocalization of wave packets in disordered nonlinear chains,” Phys. Rev. E 79, 056211 (2009).

[CrossRef]

S. Flach, D. O. Krimer, and Ch. Skokos, “Universal spreading of wave packets in disordered nonlinear systems,” Phys. Rev. Lett. 102, 024101 (2009).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

L. Levi, Y. Krivolapov, S. Fishman, and M. Segev, “Hyper-transport of light and stochastic acceleration by evolving disorder,” Nat. Phys. 8, 912–917 (2012).

[CrossRef]

D. N. Neshev, A. A. Sukhorukov, W. Królikowski, and Yu. S. Kivshar, “Nonlinear optics and light localization in periodic photonic lattices,” J. Nonlinear Opt. Phys. Mater. 16, 1–25 (2007).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

L. Levi, Y. Krivolapov, S. Fishman, and M. Segev, “Hyper-transport of light and stochastic acceleration by evolving disorder,” Nat. Phys. 8, 912–917 (2012).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

R. Driben, B. A. Malomed, and U. Mahlab, “Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links,” Opt. Commun. 232, 129–138 (2004).

[CrossRef]

G. Gligorić, A. Maluckov, Lj. Hadžievski, and B. A. Malomed, “Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole–dipole interactions,” J. Phys. B 42, 145302 (2009).

[CrossRef]

R. Driben, B. A. Malomed, and U. Mahlab, “Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links,” Opt. Commun. 232, 129–138 (2004).

[CrossRef]

G. Gligorić, A. Maluckov, Lj. Hadžievski, and B. A. Malomed, “Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole–dipole interactions,” J. Phys. B 42, 145302 (2009).

[CrossRef]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (2004).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays” Opt. Express 13, 4314–4324 (2005).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

A. R. McGurn, K. T. Christensen, F. M. Müller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

A. R. McGurn, K. T. Christensen, F. M. Müller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (2004).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

A. R. McGurn, K. T. Christensen, F. M. Müller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

D. N. Neshev, A. A. Sukhorukov, W. Królikowski, and Yu. S. Kivshar, “Nonlinear optics and light localization in periodic photonic lattices,” J. Nonlinear Opt. Phys. Mater. 16, 1–25 (2007).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

S. Ghosh, G. P. Agrawal, B. P. Pal, and R. K. Varshney, “Localization of light in evanescently coupled disordered waveguide lattices: dependence on the input beam profile,” Opt. Commun. 284, 201–206 (2011).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

A. S. Pikovsky and D. L. Shepelyansky, “Destruction of Anderson localization by a weak nonlinearity,” Phys. Rev. Lett. 100, 094101 (2008).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics 2, 52–56 (2007).

[CrossRef]

P. V. Braun, S. A. Rinne, and F. Garcia-Santamaria, “Introducing defects in 3D photonic crystals: state of the art,” Adv. Mater. 18, 2665–2678 (2006).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

M. N. Rosenbluth, “Comment on classical and quantum superdiffusion in a time-dependent random potential,” Phys. Rev. Lett. 69, 1831 (1992).

[CrossRef]

A. Kanshu, C. E. Rüter, D. Kip, and V. M. Shandarov, “Optically-induced defect states in photonic lattices: formation of defect channels, directional couplers, and disordered lattices leading to Anderson-like light localization,” Appl. Phys. B 95, 537–543 (2009).

[CrossRef]

C. E. Rüter, J. Wisniewski, and D. Kip, “Prism coupling method to excite and analyze Floquet–Bloch modes in linear and nonlinear waveguide arrays,” Opt. Lett. 31, 2768–2770 (2006).

[CrossRef]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays” Opt. Express 13, 4314–4324 (2005).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

B. G. Bale, S. Boscolo, O. Y. Schwartz, and S. K. Turitsyn, “Localized waves in optical systems with periodic dispersion and nonlinearity management,” Int. J. Opt. 2009, 181467 (2009).

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7, 197–204 (2013).

[CrossRef]

L. Levi, Y. Krivolapov, S. Fishman, and M. Segev, “Hyper-transport of light and stochastic acceleration by evolving disorder,” Nat. Phys. 8, 912–917 (2012).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays” Opt. Express 13, 4314–4324 (2005).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

A. Kanshu, C. E. Rüter, D. Kip, and V. M. Shandarov, “Optically-induced defect states in photonic lattices: formation of defect channels, directional couplers, and disordered lattices leading to Anderson-like light localization,” Appl. Phys. B 95, 537–543 (2009).

[CrossRef]

A. S. Pikovsky and D. L. Shepelyansky, “Destruction of Anderson localization by a weak nonlinearity,” Phys. Rev. Lett. 100, 094101 (2008).

[CrossRef]

M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7, 197–204 (2013).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (2004).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

S. Flach, D. O. Krimer, and Ch. Skokos, “Universal spreading of wave packets in disordered nonlinear systems,” Phys. Rev. Lett. 102, 024101 (2009).

[CrossRef]

Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, “Delocalization of wave packets in disordered nonlinear chains,” Phys. Rev. E 79, 056211 (2009).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

J. Fröhlich, T. Spencer, and C. E. Wayne, “Localization in disordered, nonlinear dynamical systems,” J. Stat. Phys. 42, 247–274 (1986).

[CrossRef]

D. N. Neshev, A. A. Sukhorukov, W. Królikowski, and Yu. S. Kivshar, “Nonlinear optics and light localization in periodic photonic lattices,” J. Nonlinear Opt. Phys. Mater. 16, 1–25 (2007).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

B. G. Bale, S. Boscolo, O. Y. Schwartz, and S. K. Turitsyn, “Localized waves in optical systems with periodic dispersion and nonlinearity management,” Int. J. Opt. 2009, 181467 (2009).

S. Ghosh, G. P. Agrawal, B. P. Pal, and R. K. Varshney, “Localization of light in evanescently coupled disordered waveguide lattices: dependence on the input beam profile,” Opt. Commun. 284, 201–206 (2011).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

J. Fröhlich, T. Spencer, and C. E. Wayne, “Localization in disordered, nonlinear dynamical systems,” J. Stat. Phys. 42, 247–274 (1986).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

G. M. Zaslavskii and B. V. Chirikov, “Stochastic instability of nonlinear oscillations,” Sov. Phys. Usp. 14, 549–566 (1972).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

P. V. Braun, S. A. Rinne, and F. Garcia-Santamaria, “Introducing defects in 3D photonic crystals: state of the art,” Adv. Mater. 18, 2665–2678 (2006).

[CrossRef]

A. Kanshu, C. E. Rüter, D. Kip, and V. M. Shandarov, “Optically-induced defect states in photonic lattices: formation of defect channels, directional couplers, and disordered lattices leading to Anderson-like light localization,” Appl. Phys. B 95, 537–543 (2009).

[CrossRef]

S. Flach, “Spreading of waves in nonlinear disordered media,” Chem. Phys. 375, 548–556 (2010).

[CrossRef]

B. G. Bale, S. Boscolo, O. Y. Schwartz, and S. K. Turitsyn, “Localized waves in optical systems with periodic dispersion and nonlinearity management,” Int. J. Opt. 2009, 181467 (2009).

D. N. Neshev, A. A. Sukhorukov, W. Królikowski, and Yu. S. Kivshar, “Nonlinear optics and light localization in periodic photonic lattices,” J. Nonlinear Opt. Phys. Mater. 16, 1–25 (2007).

[CrossRef]

G. Gligorić, A. Maluckov, Lj. Hadžievski, and B. A. Malomed, “Collapse instability of solitons in the nonpolynomial Schrodinger equation with dipole–dipole interactions,” J. Phys. B 42, 145302 (2009).

[CrossRef]

J. Fröhlich, T. Spencer, and C. E. Wayne, “Localization in disordered, nonlinear dynamical systems,” J. Stat. Phys. 42, 247–274 (1986).

[CrossRef]

M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7, 197–204 (2013).

[CrossRef]

S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, “Embedded cavities and waveguides in three-dimensional silicon photonic crystals,” Nat. Photonics 2, 52–56 (2007).

[CrossRef]

L. Levi, Y. Krivolapov, S. Fishman, and M. Segev, “Hyper-transport of light and stochastic acceleration by evolving disorder,” Nat. Phys. 8, 912–917 (2012).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, “Direct observation of Anderson localization of matter waves in a controlled disorder,” Nature 453, 891–894 (2008).

[CrossRef]

G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, “Anderson localization of a noninteracting Bose–Einstein condensate,” Nature 453, 895–898 (2008).

[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).

[CrossRef]

Y. Krivolapov, L. Levi, S. Fishman, M. Segev, and M. Wilkinson, “Superdiffusion in optical realizations of Anderson localization,” New J. Phys. 14, 043047 (2012).

[CrossRef]

R. Driben, B. A. Malomed, and U. Mahlab, “Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links,” Opt. Commun. 232, 129–138 (2004).

[CrossRef]

S. Ghosh, G. P. Agrawal, B. P. Pal, and R. K. Varshney, “Localization of light in evanescently coupled disordered waveguide lattices: dependence on the input beam profile,” Opt. Commun. 284, 201–206 (2011).

[CrossRef]

U. Naether, S. Rojas-Rojas, A. J. Martinez, S. Sützer, A. Tünnermann, S. Nolte, M. I. Molina, R. A. Vicencio, and A. Szameit, “Enhanced distribution of a wave-packet in lattices with disorder and nonlinearity,” Opt. Express 21, 927–957 (2013).

[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13, 1780–1795 (2005).

[CrossRef]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays” Opt. Express 13, 4314–4324 (2005).

[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. 13, 794–796 (1988).

[CrossRef]

C. E. Rüter, J. Wisniewski, and D. Kip, “Prism coupling method to excite and analyze Floquet–Bloch modes in linear and nonlinear waveguide arrays,” Opt. Lett. 31, 2768–2770 (2006).

[CrossRef]

I. R. Gabitov and P. M. Lushnikov, “Nonlinearity management in a dispersion-managed system,” Opt. Lett. 27, 113–115 (2002).

[CrossRef]

P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109, 1492–1505 (1958).

[CrossRef]

A. R. McGurn, K. T. Christensen, F. M. Müller, and A. A. Maradudin, “Anderson localization in one-dimensional randomly disordered optical systems that are periodic on average,” Phys. Rev. B 47, 13120–13125 (1993).

[CrossRef]

Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, “Delocalization of wave packets in disordered nonlinear chains,” Phys. Rev. E 79, 056211 (2009).

[CrossRef]

M. N. Rosenbluth, “Comment on classical and quantum superdiffusion in a time-dependent random potential,” Phys. Rev. Lett. 69, 1831 (1992).

[CrossRef]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).

[CrossRef]

T. Pertsch, U. Peschel, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, A. Tünnermann, and F. Lederer, “Nonlinearity and disorder in fiber arrays,” Phys. Rev. Lett. 93, 053901 (2004).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, “Discrete spatial optical solitons in waveguide arrays,” Phys. Rev. Lett. 81, 3383–3386 (1998).

[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Królikowski, and Yu. S. Kivshar, “Controlled generation and steering of spatial gap solitons,” Phys. Rev. Lett. 93, 083905 (2004).

[CrossRef]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Gap solitons in waveguide arrays,” Phys. Rev. Lett. 92, 093904 (2004).

[CrossRef]

A. S. Pikovsky and D. L. Shepelyansky, “Destruction of Anderson localization by a weak nonlinearity,” Phys. Rev. Lett. 100, 094101 (2008).

[CrossRef]

S. Flach, D. O. Krimer, and Ch. Skokos, “Universal spreading of wave packets in disordered nonlinear systems,” Phys. Rev. Lett. 102, 024101 (2009).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays,” Phys. Rev. Lett. 83, 4752–4755 (1999).

[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet–Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003).

[CrossRef]

G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, “Absence of wave packet diffusion in disordered nonlinear systems,” Phys. Rev. Lett. 100, 084103 (2008).

[CrossRef]

S. S. Abdullaev and F. Kh. Abdullaev, “On the light propagation in the system of tunnel-coupled waveguides,” Radiofizika 23, 766–767 (1980).

D. Belitz and T. R. Kirkpatrick, “The Anderson–Mott transition,” Rev. Mod. Phys. 66, 261–380 (1994).

[CrossRef]

G. M. Zaslavskii and B. V. Chirikov, “Stochastic instability of nonlinear oscillations,” Sov. Phys. Usp. 14, 549–566 (1972).

[CrossRef]

L. F. Cugliandolo, “Dynamics of glassy systems,” in Les Houuches 2002 (Springer, 2003).

E. J. Donth, The Glass Transition: Relaxation Dynamics in Liquids and Disordered Materials (Springer, 2001).