-
1
-
-
24244444170
-
Absence of diffusion in certain random lattices
-
Anderson P W 1958 Absence of diffusion in certain random lattices Phys. Rev. 109 1492
-
(1958)
Phys. Rev.
, vol.109
, pp. 1492
-
-
Anderson, P.W.1
-
2
-
-
0002835770
-
Localization of eigenstates and transport phenomena in one-dimensional disordered system
-
Ishii K 1973 Localization of eigenstates and transport phenomena in one-dimensional disordered system Suppl. Prog. Theor. Phys. 53 77-138
-
(1973)
Suppl. Prog. Theor. Phys.
, vol.53
, pp. 77-138
-
-
Ishii, K.1
-
10
-
-
40849094531
-
Destruction of Anderson localization by a weak nonlinearity
-
Pikovsky A S and Shepelyansky D L 2008 Destruction of Anderson localization by a weak nonlinearity Phys. Rev. Lett. 100 094101
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 094101
-
-
Pikovsky, A.S.1
Shepelyansky, D.L.2
-
11
-
-
67349143002
-
Long time Anderson localization for nonlinear random Schrödinger equation
-
Wang W-M and Zhang Z 2009 Long time Anderson localization for nonlinear random Schrödinger equation J. Stat. Phys. 134 953
-
(2009)
J. Stat. Phys.
, vol.134
, pp. 953
-
-
Wang, W.-M.1
Zhang, Z.2
-
12
-
-
59149094074
-
Universal spreading of wavepackets in disordered nonlinear systems
-
Flach S, Krimer D and Skokos Ch. 2009 Universal spreading of wavepackets in disordered nonlinear systems Phys. Rev. Lett. 102 024101
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 024101
-
-
Flach, S.1
Krimer, D.2
Skokos, Ch.3
-
13
-
-
59149094074
-
Universal spreading of wave packets in disordered nonlinear systems
-
Flach S, Krimer D O and Skokos Ch. 2009 Universal spreading of wave packets in disordered nonlinear systems Phys. Rev. Lett. 102 024101 (erratum)
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 024101
-
-
Flach, S.1
Krimer, D.O.2
Skokos, Ch.3
-
15
-
-
66749175818
-
Delocalization of wave packets in disordered nonlinear chains
-
Skokos C, Krimer D O, Komineas S and Flach S 2009 Delocalization of wave packets in disordered nonlinear chains Phys. Rev. E 79 056211
-
(2009)
Phys. Rev. e
, vol.79
, pp. 056211
-
-
Skokos, C.1
Krimer, D.O.2
Komineas, S.3
Flach, S.4
-
16
-
-
70450285548
-
Perturbation theory for the nonlinear Schrödinger equation with a random potential
-
Fishman S, Krivolapov Y and Soffer A 2009 Perturbation theory for the nonlinear Schrödinger equation with a random potential Nonlinearity 22 2861-87
-
(2009)
Nonlinearity
, vol.22
, pp. 2861-2887
-
-
Fishman, S.1
Krivolapov, Y.2
Soffer, A.3
-
17
-
-
77955084709
-
A numerical and symbolical approximation of the nonlinear Anderson model
-
Krivolapov Y, Fishman S and Soffer A 2010 A numerical and symbolical approximation of the nonlinear Anderson model New J. Phy. 12 063035
-
(2010)
New J. Phy.
, vol.12
, pp. 063035
-
-
Krivolapov, Y.1
Fishman, S.2
Soffer, A.3
-
18
-
-
17744366868
-
The Fermi-Pasta-Ulam problem: Fifty years of progress
-
Berman G P and Izrailev F M 2005 The Fermi-Pasta-Ulam problem: fifty years of progress Chaos 15 015104
-
(2005)
Chaos
, vol.15
, pp. 015104
-
-
Berman, G.P.1
Izrailev, F.M.2
-
19
-
-
0032163922
-
Nonlinear wave propagation in a disordered medium
-
Bronski J C 1998 Nonlinear wave propagation in a disordered medium J. Stat. Phys. 92 995-1015 (Pubitemid 128361707)
-
(1998)
Journal of Statistical Physics
, vol.92
, Issue.5-6
, pp. 995-1015
-
-
Bronski, J.C.1
-
20
-
-
70349501448
-
Spreading for tbe generalized nonlinear Schrödinger equation with disorder
-
Veksler H, Krivolapov Y and Fishman S 2009 Spreading for tbe generalized nonlinear Schrödinger equation with disorder Phys. Rev. E 80 037201
-
(2009)
Phys. Rev. e
, vol.80
, pp. 037201
-
-
Veksler, H.1
Krivolapov, Y.2
Fishman, S.3
-
21
-
-
70450229842
-
-
Mulansky M 2009 Localization properties of nonlinear disordered lattices Diploma Thesis Universität Potsdam http://nbn-resolving.de/urn:nbn:de:kobv: 517-opus-31469
-
(2009)
Diploma Thesis
-
-
Mulansky, M.1
-
23
-
-
41349114570
-
Discrete solitons in photorefractive optically induced photonic lattices
-
Efremidis N K, Sears S, Christodoulides D N, Fleischer J W and Segev M 2002 Discrete solitons in photorefractive optically induced photonic lattices Phys. Rev. E 66 046602
-
(2002)
Phys. Rev. e
, vol.66
, pp. 046602
-
-
Efremidis, N.K.1
Sears, S.2
Christodoulides, D.N.3
Fleischer, J.W.4
Segev, M.5
-
24
-
-
0037449879
-
Observation of discrete solitons in optically induced real time waveguide arrays
-
Fleischer J W, Carmon T, Segev M, Efremidis N K and Christodoulides D N 2003 Observation of discrete solitons in optically induced real time waveguide arrays Phys. Rev. Lett. 90 023902
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 023902
-
-
Fleischer, J.W.1
Carmon, T.2
Segev, M.3
Efremidis, N.K.4
Christodoulides, D.N.5
-
25
-
-
0000196586
-
Vortex lines in an imperfect Bose gas
-
Pitaevskii L P 1961 Vortex lines in an imperfect Bose gas Sov. Phys. JETP 13 451-4
-
(1961)
Sov. Phys. JETP
, vol.13
, pp. 451-454
-
-
Pitaevskii, L.P.1
-
26
-
-
51249193203
-
Structure of a quantized vortex in boson systems
-
Gross E P 1961 Structure of a quantized vortex in boson systems Nuovo Cimento 20 454-77
-
(1961)
Nuovo Cimento
, vol.20
, pp. 454-477
-
-
Gross, E.P.1
-
28
-
-
0035535327
-
Bose-Einstein condensation in the alkali gases: Some fundamental concepts
-
Leggett A J 2001 Bose-Einstein condensation in the alkali gases: Some fundamental concepts Rev. Mod. Phys. 73 307-56
-
(2001)
Rev. Mod. Phys.
, vol.73
, pp. 307-356
-
-
Leggett, A.J.1
-
30
-
-
33846513884
-
Rigorous derivation of the Gross-Pitaevskii equation
-
Erdös L, Schlein B and Yau H T 2007 Rigorous derivation of the Gross-Pitaevskii equation Phys. Rev. Lett. 98 040404
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 040404
-
-
Erdös, L.1
Schlein, B.2
Yau, H.T.3
-
31
-
-
0037193018
-
Proof of Bose-Einstein condensation for dilute trapped gases
-
Lieb E H and Seiringer R 2002 Proof of Bose-Einstein condensation for dilute trapped gases Phys. Rev. Lett. 88 170409
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 170409
-
-
Lieb, E.H.1
Seiringer, R.2
-
32
-
-
28844443600
-
Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential
-
Clement D, Varon A F, Hugbart M, Retter J A, Bouyer P, Sanchez-Palencia L, Gangardt D M, Shlyapnikov G V and Aspect A 2005 Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential Phys. Rev. Lett. 95 170409
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 170409
-
-
Clement, D.1
Varon, A.F.2
Hugbart, M.3
Retter, J.A.4
Bouyer, P.5
Sanchez-Palencia, L.6
Gangardt, D.M.7
Shlyapnikov, G.V.8
Aspect, A.9
-
33
-
-
27144502395
-
Bose-Einstein condensate in a random potential
-
Lye J E, Fallani L, Modugno M, Wiersma D S, Fort C and Inguscio M 2005 Bose-Einstein condensate in a random potential Phys. Rev. Lett. 95 070401
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 070401
-
-
Lye, J.E.1
Fallani, L.2
Modugno, M.3
Wiersma, D.S.4
Fort, C.5
Inguscio, M.6
-
34
-
-
33748650326
-
Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
-
Clement D, Varon A F, Retter J A, Sanchez-Palencia L, Aspect A and Bouyer P 2006 Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle New J. Phys. 8 165
-
(2006)
New J. Phys.
, vol.8
, pp. 165
-
-
Clement, D.1
Varon, A.F.2
Retter, J.A.3
Sanchez-Palencia, L.4
Aspect, A.5
Bouyer, P.6
-
35
-
-
34547352854
-
Anderson localization of expanding Bose-Einstein condensates in random potentials
-
Sanchez-Palencia L, Clement D, Lugan P, Bouyer P, Shlyapnikov G V and Aspect A 2007 Anderson localization of expanding Bose-Einstein condensates in random potentials Phys. Rev. Lett. 98 210401
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 210401
-
-
Sanchez-Palencia, L.1
Clement, D.2
Lugan, P.3
Bouyer, P.4
Shlyapnikov, G.V.5
Aspect, A.6
-
36
-
-
64549112073
-
On the joint distribution of energy levels of random Schrödinger operators
-
Aizenman M and Warzel S 2009 On the joint distribution of energy levels of random Schrödinger operators J. Phys. A: Math. Gen. 42 045201
-
(2009)
J. Phys. A: Math. Gen.
, vol.42
, pp. 045201
-
-
Aizenman, M.1
Warzel, S.2
-
37
-
-
33645787826
-
Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
-
Basko D M, Aleiner I L and Altshuler B L 2006 Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states Ann. Phys. 321 1126
-
(2006)
Ann. Phys.
, vol.321
, pp. 1126
-
-
Basko, D.M.1
Aleiner, I.L.2
Altshuler, B.L.3
-
38
-
-
34548226380
-
Possible experimental manifestations of the many-body localization
-
Basko D M, Aleiner I L and Altshuler B L 2007 Possible experimental manifestations of the many-body localization Phys. Rev. B 76 052203
-
(2007)
Phys. Rev. B
, vol.76
, pp. 052203
-
-
Basko, D.M.1
Aleiner, I.L.2
Altshuler, B.L.3
-
39
-
-
78149280604
-
A finite-temperature phase transition for disordered weakly interacting bosons in one dimension
-
Aleiner I L, Altshuler B L and Shlyapnikov G V 2010 A finite-temperature phase transition for disordered weakly interacting bosons in one dimension Nature Phys. 6 900-4
-
(2010)
Nature Phys.
, vol.6
, pp. 900-904
-
-
Aleiner, I.L.1
Altshuler, B.L.2
Shlyapnikov, G.V.3
-
40
-
-
70349906457
-
Localization bounds for multiparticle systems
-
Aizenman M and Warzel S 2009 Localization bounds for multiparticle systems Commun. Math. Phys. 290 903-34
-
(2009)
Commun. Math. Phys.
, vol.290
, pp. 903-934
-
-
Aizenman, M.1
Warzel, S.2
-
41
-
-
67349149120
-
Multi-particle Anderson localisation: Induction on the number of particles
-
Chulaevsky V and Suhov Y 2009 Multi-particle Anderson localisation: Induction on the number of particles Math. Phys. Anal. Geom. 12 117-139
-
(2009)
Math. Phys. Anal. Geom.
, vol.12
, pp. 117-139
-
-
Chulaevsky, V.1
Suhov, Y.2
-
42
-
-
0010092601
-
Periodic-solutions of some infinite-dimensional Hamiltonian-systems associated with non-linear partial difference-equations: I
-
Albanese C and Fröhlich J 1988 Periodic-solutions of some infinite-dimensional Hamiltonian-systems associated with non-linear partial difference-equations: I Commun. Math. Phys. 116 475-502
-
(1988)
Commun. Math. Phys.
, vol.116
, pp. 475-502
-
-
Albanese, C.1
Fröhlich, J.2
-
43
-
-
0010150837
-
Perturbation-theory for periodic-orbits in a class of infinite dimensional Hamiltonian-systems
-
Albanese C and Fröhlich J 1991 Perturbation-theory for periodic-orbits in a class of infinite dimensional Hamiltonian-systems Commun. Math. Phys. 138 193-205
-
(1991)
Commun. Math. Phys.
, vol.138
, pp. 193-205
-
-
Albanese, C.1
Fröhlich, J.2
-
44
-
-
36348967092
-
Quasi-periodic solutions of nonlinear random Schrödinger equations
-
Bourgain J and Wang W-M 2008 Quasi-periodic solutions of nonlinear random Schrödinger equations J. Eur. Math. Soc. 10 1-45
-
(2008)
J. Eur. Math. Soc.
, vol.10
, pp. 1-45
-
-
Bourgain, J.1
Wang, W.-M.2
-
45
-
-
0000855733
-
Invariant-imbedding approach to localization: II. Nonlinear random-media
-
Doucot B and Rammal R 1987 Invariant-imbedding approach to localization: II. Nonlinear random-media J. Phys. 48 527-45
-
(1987)
J. Phys.
, vol.48
, pp. 527-545
-
-
Doucot, B.1
Rammal, R.2
-
46
-
-
84956065051
-
On anderson localization in nonlinear random-media
-
Doucot B and Rammal R 1987 On anderson localization in nonlinear random-media Europhys. Lett. 3 969-74
-
(1987)
Europhys. Lett.
, vol.3
, pp. 969-974
-
-
Doucot, B.1
Rammal, R.2
-
47
-
-
0001003316
-
Wave transmission in nonlinear lattices
-
Hennig D and Tsironis G P 1999 Wave transmission in nonlinear lattices Phys. Rep. 307 334-432
-
(1999)
Phys. Rep.
, vol.307
, pp. 333-432
-
-
Hennig, D.1
Tsironis, G.P.2
-
49
-
-
0001219847
-
Localization in disordered, nonlinear dynamic-systems
-
Fröhlich J, Spencer T and Wayne C E 1986 Localization in disordered, nonlinear dynamic-systems J. Stat. Phys. 42 247-74
-
(1986)
J. Stat. Phys.
, vol.42
, pp. 247-274
-
-
Fröhlich, J.1
Spencer, T.2
Wayne, C.E.3
-
50
-
-
4243738139
-
Delocalization of quantum chaos by weak nonlinearity
-
Shepelyansky D L 1993 Delocalization of quantum chaos by weak nonlinearity Phys. Rev. Lett. 70 1787-90
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 1787-1790
-
-
Shepelyansky, D.L.1
-
51
-
-
0003175350
-
A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom
-
Benettin G, Fröhlich J and Giorgilli A 1988 A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom Commun. Math. Phys. 119 95-108
-
(1988)
Commun. Math. Phys.
, vol.119
, pp. 95-108
-
-
Benettin, G.1
Fröhlich, J.2
Giorgilli, A.3
-
52
-
-
40849112002
-
Absence of wave packet diffusion in disordered nonlinear systems
-
Kopidakis G, Komineas S, Flach S and Aubry S 2008 Absence of wave packet diffusion in disordered nonlinear systems Phys. Rev. Lett. 100 084103
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 084103
-
-
Kopidakis, G.1
Komineas, S.2
Flach, S.3
Aubry, S.4
-
55
-
-
77957750092
-
Spreading of waves in nonlinear disordered media
-
Flach S 2010 Spreading of waves in nonlinear disordered media Chem. Phys. 375 548-56
-
(2010)
Chem. Phys.
, vol.375
, pp. 548-556
-
-
Flach, S.1
-
56
-
-
79952523530
-
Scaling properties of weak chaos in nonlinear disordered lattices
-
Pikovsky A and Fishman S 2011 Scaling properties of weak chaos in nonlinear disordered lattices Phys. Rev. E 83 025201
-
(2011)
Phys. Rev. e
, vol.83
, pp. 025201
-
-
Pikovsky, A.1
Fishman, S.2
-
57
-
-
78751650414
-
KAM tori in 1D random discrete nonlinear Schrödinger model?
-
Johansson M, Kopidakis G and Aubry S 2010 KAM tori in 1D random discrete nonlinear Schrödinger model? Europhys. Lett. 91 50001
-
(2010)
Europhys. Lett.
, vol.91
, pp. 50001
-
-
Johansson, M.1
Kopidakis, G.2
Aubry, S.3
-
58
-
-
79957663275
-
Weak chaos in the disordered nonlinear Schrödinger chain: Destruction of Anderson localization by Arnold diffusion
-
Basko D M 2011 Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion Annal. Phys. 326 1577-655
-
(2011)
Annal. Phys.
, vol.326
, pp. 1577-1655
-
-
Basko, D.M.1
-
59
-
-
83655193406
-
Anderson localization or nonlinear waves? A matter of probability
-
Ivanchenko M V, Laptyeva T V and Flach S 2011 Anderson localization or nonlinear waves? A matter of probability Phys. Rev. Lett. 107 240602
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 240602
-
-
Ivanchenko, M.V.1
Laptyeva, T.V.2
Flach, S.3
-
60
-
-
43049168798
-
On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential
-
Fishman S, Krivolapov Y and Soffer A 2008 On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential J. Stat. Phys. 131 843-65
-
(2008)
J. Stat. Phys.
, vol.131
, pp. 843-865
-
-
Fishman, S.1
Krivolapov, Y.2
Soffer, A.3
-
63
-
-
3543001642
-
Anderson localization for time quasi-periodic random Schrödinger and wave equations
-
DOI 10.1007/s00220-004-1099-2
-
Bourgain J and Wang W M 2004 Anderson localization for time quasi-periodic random Schrödinger and wave equations Commun. Math. Phys. 248 429-66 (Pubitemid 39016376)
-
(2004)
Communications in Mathematical Physics
, vol.248
, Issue.3
, pp. 429-466
-
-
Bourgain, J.1
Wang, W.-M.2
-
65
-
-
79960566393
-
Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model
-
Rivkind A, Krivolapov Y, Fishman S and Soffer A 2011 Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model J. Phys. A: Math. Theor. 44 305206
-
(2011)
J. Phys. A: Math. Theor.
, vol.44
, pp. 305206
-
-
Rivkind, A.1
Krivolapov, Y.2
Fishman, S.3
Soffer, A.4
-
66
-
-
78651234033
-
The crossover from strong to weak chaos for nonlinear waves in disordered systems
-
Laptyeva T V, Bodyfelt J D, Krimer D O, Skokos Ch and Flach S 2010 The crossover from strong to weak chaos for nonlinear waves in disordered systems Europhys. Lett. 91 30001
-
(2010)
Europhys. Lett.
, vol.91
, pp. 30001
-
-
Laptyeva, T.V.1
Bodyfelt, J.D.2
Krimer, D.O.3
Skokos, C.4
Flach, S.5
-
67
-
-
79961108512
-
Nonlinear waves in disordered chains: Probing the limits of chaos and spreading
-
Bodyfelt J D, Laptyeva T V, Skokos Ch, Krimer D O and Flach S 2011 Nonlinear waves in disordered chains: probing the limits of chaos and spreading Phys. Rev. E 84 016205
-
(2011)
Phys. Rev. e
, vol.84
, pp. 016205
-
-
Bodyfelt, J.D.1
Laptyeva, T.V.2
Skokos, C.3
Krimer, D.O.4
Flach, S.5
-
68
-
-
77954496513
-
Spreading of wave packets in disordered systems with tunable nonlinearity
-
Skokos Ch and Flach S 2010 Spreading of wave packets in disordered systems with tunable nonlinearity Phys. Rev. E 82 016208
-
(2010)
Phys. Rev. e
, vol.82
, pp. 016208
-
-
Skokos, C.1
Flach, S.2
-
69
-
-
75349084907
-
Double humped states in the nonlinear Schrödinger equation with a random potential
-
Veksler H, Krivolapov Y and Fishman S 2010 Double humped states in the nonlinear Schrödinger equation with a random potential Phys. Rev. E 81 017201
-
(2010)
Phys. Rev. e
, vol.81
, pp. 017201
-
-
Veksler, H.1
Krivolapov, Y.2
Fishman, S.3
|